CHECK YOUR GRASP. exerts a force on another body of mass m 2. , then the magnitude of the acceleration of m 1. m a m (C) (C) g (D) g 4 4

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1 J-Physics XRIS 0 HK YOUR GRSP SLT TH ORRT LTRNTIV ( ONLY ON ORRT NSWR). body of ass exerts a force on another body of ass. If the agnitude of acceleration of is a, then the agnitude of the acceleration of is (considering only two bodies in space) () Zero () a (). onkey is descending fro the branch of a tree with constant acceleration. If the breaking strength of branch is 75% of the weight of the onkey, the iniu acceleration with which the onkey can slide down without breaking the branch is a (D) a () g () 3g () g (D) g trolley of ass 5 kg on a horizontal sooth surface is pulled 5kg by a load of ass kg by eans of unifor rope of length and ass kg. s the load falls fro =0 to =. its acceleration in /s changes kg () 0 6 to 0 5 () 0 8 to 30 8 () 0 5 to 30 6 (D) None of the above 4. In the figure, the position tie graph of a particle of ass 0 kg is shown. The ipulse at t= second is () 0 kgs () 0 kgs () 0 kgs (D) 0 4 kgs 6 4 X() 5. igures I, II, III and IV depicts variation of force with tie 4 t(sec) 6 (N) 0 5 (I) (N) 0 3 (II) (N) (III) (N) (IV) t(s) t(s) t(s) t(s) In which situation ipulse will be axiu () I & II () III & I () III & IV (D) Only IV 6. body kept on a sooth inclined plane inclination in x will reain stationary relative to the inclined plane if the plane is given a horizontal acceleration equal to : Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65 () x g () x g x gx () x 5 g (D) x 7. onkey is sitting on the pan of a spring balance which is placed on an elevator. The axiu reading of the spring balance will be when : () the elevator is stationary () the string of the elevator breaks and it drops freely towards the earth () the elevator is accelerated downwards (D) the elevator is accelerated upwards.

2 J-Physics 8. pulley is attached to the ceiling of a lift oving upwards. Two particles are attached to the two ends of a string passing over the pulley. The asses of the particles are in the ratio :. If the acceleration of the particles is g/, then the acceleration of the lift will be () g () g () g 3 (D) g 4 9. Two blocks and of asses & respectively are held at rest such that the spring is in natural length. What is the acceleration of both the blocks just after release? () g, g () g 3, g 3 () 0, 0 (D) g, 0 0. In the arrangeent shown in figure, pulley is sooth and assless and all the strings are light. Let be the force exerted on the pulley in case (i) and the force in case (ii). Then (i) (ii) () > () < () = (D) = 4 4. In the figure, the blocks, and of ass, each have accelerations a, a and a 3 respectively. and are external forces of agnitudes g and g respectively. () a = a = a 3 () a >a 3 >a () a =a, a >a 3 (D) a >a, a =a 3 =g =g. In the arrangeent shown in figure = kg, = kg. Pulleys are assless and strings are light. or what value of M the ass oves with constant velocity ( Neglect friction) M () 6 kg () 8 kg () 4 kg (D) 0 kg 3. trolley is being pulled up an incline plane by a an sitting on it (as shown in figure). He applies a force of 50 N. If the cobined ass of the an and trolley is 00 kg, the acceleration of the trolley will be [sin5 = 0.6] ().4 / s () 9.4 /s () 6.9 /s (D) 4.9 /s 5 4. an thinks about 4 arrangeents as shown to raise two sall bricks each having ass. Which of the arrangeent would take iniu tie? () () () 5 (D) Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65

3 J-Physics 5. In the arrangeent shown in figure neglect the asses of the pulley and string and also friction. The accelerations of blocks and are () g, g/ () g/, g () 3g/, 3g/4 (D) g, g 6. block is placed on an inclined plane oving towards right horizontally with an acceleration a 0 = g. The length of the plane =. riction is absent everywhere. The tie taken by the block to reach fro to is ( g = 0 /s ) (). s () 0.74 s a =g 0 30 ().56 s (D) 0.4 s 7. In the arrangeent shown in figure pulley and are assless and the thread is inextensible. Mass of pulley is equal to. If friction in all the pulleys is negligible, then () tension in thread is equal to / g () acceleration of pulley is equal to g/ (downward) () acceleration of pulley is equal to g/ (upward) (D) acceleration of pulley is equal to g (upward) 8. block is placed on a rough horizontal plane. tie dependent horizontal force = kt acts on the block. Here k is a positive constant. cceleration tie graph of the block is a a a a () () () (D) t t t t Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65 9. In the figure shown if friction coefficient of block kg and kg with inclined plane is µ =0.5 and µ = 0.4 respectively, then () both block will ove together () both block will ove separately () there is a non zero contact force between two blocks (D) None of these 3 0. block of ass of 0 kg lies on a rough inclined plane of inclination = sin 5 with the horizontal when a force of 30N is applied on the block parallel to and upward the plane, the total force exerted by the plane on the block is nearly along (coefficient of friction is µ = 3 4 ) ( g = 0 /s ) () O () O () O (D) OD 53 D kg kg )60 30N O

4 J-Physics. block of ass 3 kg is at rest on a rough inclined plane as shown in the figure. The agnitude of net force exerted by the surface on the block will be (g=0 /s ) 3 kg 30º () 6N () 9.5N () 0N (D) 30 N. block of ass = kg is resting on a rough inclined plane of inclination 30 0 as shown in figure. The coefficient of friction between the block and the plane is µ = 0.5. What iniu force should be applied perpendicular to the plane on the block, so that block does not slip on the plane (g=0/s ) () zero () 6.4 N ().68 N (D) 4.34 N block of ass 0. kg is held against a wall applying a horizontal force of 5N on the block. If the coefficient of friction between the block and the wall is 0.5, the agnitude of the frictional force acting on the block is : ().5 N () 0.98 N () 4.9 N (D) 0.49 N kg slab rests on a frictionless floor. 0 kg block rests on top of the slab. The static coefficient of friction between the block and slab is 0.60 while the kinetic coefficient is The 0 kg block is acted upon by a hori zontal force o f 00N. If g = 9.8 /s, the resulti ng acceleration of t h e s l ab will be : No riction 00N 40kg 0kg () 0.98 /s ().47 /s ().5 /s (D) 6. /s 5. The rear side of a truck is open and a box of ass 0 kg is placed on the truck 4 away fro the open end, = 0.5 and g=0 /sec. The truck starts fro rest with an acceleration of /sec on a straight road. The distance oved by the truck when box starts fall down. () 4 () 8 () 6 (D) 3 6. In the arrangeent shown in figure, coefficient of friction between the two blocks is µ =. The force of friction acting between the two blocks is =0N 54 kg 4kg =N () 8 N () 0 N () 6 N (D) 4 N 7. is the angle of the incline when a block of ass just starts slipping down. The distance covered by the block if thrown up the incline with an initial speed v 0 is : () v 0 4g sin () 4v 0 g sin () v sin 0 4g (D) 4v sin 0 g Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65

5 J-Physics 8. In the arrangeent shown in the figure, ass of the block and is and respectively. Surface between and floor is sooth. The block is connected to the block by eans of a string pulley syste. If the whole syste is released, then find the iniu value of ass of block so that reains stationary w.r.t.. oefficient of friction between and is µ. () () () 3 (D) 6 9. car is going at a speed of 6 /s when it encounters a 5 slope of angle The friction coefficient between the road and tyre is 0.5. The driver applies the brakes. The iniu speed of car with which it can reach the botto is ( g= 0/s ) 30 () 4 /s () 3 /s () 7.49 /s (D) 8.45 /s 3 0. In the figure shown a ring of ass M and a block of ass are in equilibriu. The string is light and pulley P does not offer any friction and coefficient of friction between pole and M is µ. The frictional force offered by the pole on M is M P Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65 () Mg directed up () (M ) g directed down () µ g directed up (D) µ g direction down 3. If you want to pile up sand onto a circular area of radius R. The greatest height of the sand pile that can be erected without spilling the sand onto the surrounding area, if µ is the coefficient of friction between sand particle is :- () R () µ R () µr (D) R 55

6 J-Physics 3. sphere of ass is kept in equilibriu with the help of several springs as shown in the figure. Measureent shows that one of the springs applies a force on the sphere. With what acceleration the sphere will ove iediately after this particular spring is cut? () zero () () (D) insufficient inforation 3 3. Two forces are siultaneously applied on an object. What third force would ake the net force to point to the left ( x direction)? () () () (D) 3 4. Three forces, and 3 act on an object siultaneously. These force vectors are shown in the following freebody diagra. In which direction does the object accelerate? () () () (D) 56 Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65

7 J-Physics 3 5. The adjoining figure shows a force of 40 N pulling a body of ass 5 kg in a direction 30 above the horizontal. The body is in rest on a sooth horizontal surface. ssuing acceleration of free-fall is 0 /s. Which of the following stateents I and II is/are correct? I. The weight of the 5 kg ass acts vertically downwards II. The net vertical force acting on the body is 30 N. () Only I. () Only II. () oth I and II. (D) None of the 3 6. block of weight W is suspended by a string of fixed length. The ends of the string are held at various positions as shown in the figures below. In which case, if any, is the agnitude of the tension along the string largest? () () () (D) 3 7. n ideal string is passing over a sooth pulley as shown. Two blocks and are connected at the ends of the string. If = kg and tension in the string is 0 N, ass is equal to (g=0 /s ) () kg ().5 kg () kg (D) 0.5 kg Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65 HK YOUR GRSP NSWR KY XRIS - Q u e n s. D D D D D Q u e n s. D D 57

8 J-Physics XRIS 0 RIN TSURS Select the correct alternatives (one or ore than one correct answers). light string fixed at one end to a clap on ground passes over a fixed pulley and hangs at the other side. It akes an angle of 30 with the ground. onkey of ass 5 kg clibs up the rope. The clap can tolerate a vertical force of 40 N only. The axiu acceleration in upward direction with which the onkey can clib safely is (neglect friction and take g = 0 /s ) : a 30 0 () /s () 4 /s () 6 /s (D) 8 /s. n inclined plane akes an angles 30 0 with the horizontal. groove O=5 cut in the plane akes an angle 30 0 with OX. short sooth cylinder is free to slide down the influence of gravity. The tie taken by the cylinder to reach fro to O is ( g = 0 /s ) cylinder O x () 4s () s () s (D) s 3. block is kept on a sooth inclined plane of angle of inclination 30 0 that oves with a constant acceleration so that the block does not slide relative to the inclined plane. Let be the contact force between the block and the plane. Now the inclined plane stops and let be the contact force between the two in this case. Then / is () () 4 3 () (D) 3 4. or the syste shown in the figure, the acceleration of the ass 4 iediately after the lower thread x is cut will be, (assue that the threads are weightless and inextensible, the spring are weightless, the ass of pulley is negligible and there is no friction) () 0 () 3 g 4 k 3 k () 3 4 g 4 (D) 58 g Given = 30 kg, = 0 kg, = 0 kg. The coefficient of friction between and µ = 0.3, between and µ = 0. and between, and ground, µ 3 = 0.. The least horizontal force to start otion of any part of the syste of three blocks resting upon one another as shown in figure is ( g = 0 /s ) () 60 N () 90 N () 80 N (D) 50 N x Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65

9 J-Physics 6. The syste is pushed by a force as shown in figure. ll surfaces are sooth except between and. riction coefficient between and is µ. Miniu value of to prevent block fro downward slipping is () 3 g () 5 g () 5 g (D) 3 g 7. block is placed over a long rough plank of sae ass as shown in figure. The plank is placed over a sooth horizontal surface. t tie t=0, block is given a velocity v 0 in horizontal direction. Let v and v be the velocities of and at tie t. Then choose the correct graph between v or v and t. v 0 v or v v or v v or v v or v () v () v () v v (D) v v v t v t t t 8. Three blocks, and of equal ass are placed one over the other on a sooth horizontal ground as shown in figure. oefficient of friction between any two blocks of, and is. The axiu value of ass of block D so that the blocks, and ove without slipping over each other is D () 6 () 5 () 3 (D) 4 9. In figure shown, both blocks are released fro rest. The tie to cross each other is Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65 4 kg 4 kg () second () 3 second () second (D) 4 second 59

10 J-Physics 0. If asses are released fro the position shown in figure then tie elapsed before ass collides with the floor will be : () () gd d g () d g (D) None of these > d. Sae spring is attached with kg, 3kg and kg blocks in three different cases as shown in figure. If x, x and x 3 be the extensions in the spring in these three cases then kg kg 3kg kg kg kg () x = 0, x 3 > x () x > x > x 3 () x 3 > x > x (D) x > x > x 3. block of ass is placed over a plank of ass. Plank is placed over a sooth horizontal surface. The coefficient of friction between and is 0.5. lock is given a velocity v 0 towards right. cceleration of relative to is v 0 sooth () g () g () 3g 4 (D) zero 3. lock of ass is placed over a wedge of sae ass. ssuing all surfaces to be sooth. The displaceent of block in s if the syste is released fro rest is ixed () g ( sin ) ( sin ) () g sin () cos g sin (D) sin g sin 4. In the figure shown block oves down with a velocity 0 /s. The velocity of in the position shown is 37 ().5 /s () 5 /s () 6.5 /s (D) None of these 60 Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65

11 J-Physics 5. particle is oving along the circle x + y = a in anticlockwise direction. The x y plane is a rough horizontal stationary surface. t the point a cos,a sin, the unit vector in the direction of friction on the particle is () cos ˆi + ˆ sin j () cos ˆ i sin ˆj () sin ˆi cos ˆj (D) cosˆi sin ˆj 6. an of ass 50 kg is pulling on a plank of ass 00 kg kept on a sooth floor as shown with force of 00 N. If both an & plank ove together, find force of friction acting on an. 50 kg µ=0 µ=/6 00 () 00 3 () 50 3 N towards left () 00 3 N towards left (D) 50 3 N towards right N towards right 7. In the following arrangeent the syste is initially at rest. The 5 kg block is now released. ssuing the pulleys and string to be assless and sooth, the acceleration of blocks is () a = g 7 () a = 0 /s () a c = 5 7 /s (D) a =a 5kg 0kg 8kg 8. In order to raise a ass of 00 kg a an of ass 60 kg fastens a rope to it and passes the rope over a sooth pulley. He clibs the rope with an acceleration 5g/4 relative to rope. The tension in the rope is ( g = 0/s ) () 43 N () 98 N () 8 N (D) 64 N 9. Two blocks and of equal ass are connected through a assless string and arranged as shown in figure. riction is absent everywhere. When the syste is released fro rest. ixed 30 () tension in string is g () tension in string is g 4 Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65 () acceleration of is g 6 (D) acceleration of is 3 g 4 0. In the arrangeent shown in figure all surfaces are sooth. Select the correct alternative(s) () for any value of acceleration of and are equal () contact force between the two blocks is zero if () contact force between the two is zero for any value of or (D) noral reactions exerted by the wedge on the blocks are equal =tan ixed

12 J-Physics. In the pulley syste shown in figure the ovable pulleys, and are of D ass kg each. D and are fixed pulleys. The strings are light and inextensible. hoose the correct alternative(s). ll pulleys are frictionless. () tension in the string is 6.5 N () acceleration of pulley is g/3 downward () acceleration of pulley is g/6 upward (D) acceleration of pulley is g/3 upward. block is placed over a plank. The coefficient of friction between the block and the plank is µ = 0.. Initially both are at rest, suddenly the plank starts oving with acceleration a 0 = 4 /s. The displaceent of the block in s is (g=0 /s ) () relative to ground () relative to plank () zero relative to plank (D) relative to ground 3. If the acceleration of the elevator a 0 >g, then () the acceleration of the asses will be a 0 () the acceleration of the asses will be (a 0 g) a 0 M () the tension in the string will be (g a 0 ) M (D) tension in the string will be zero. M 4. Two blocks of asses and are connected with a assless spring and placed over a plank oving with an acceleration a as shown in figure. The coefficient of friction between the blocks and platfor is µ. () spring will be stretched if a > µg () spring will be copressed if a µg a () spring will neither be copressed nor be stretched for a µg (D) spring will be in its natural length under all conditions RIN TSRS NSWR KY XRIS - Qu e ns. D Qu e ns.,,,d,d,,,d, D D 6 Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65

13 J-Physics XRIS 03 TRU / LS MISLLNOUS TYP QUSTIONS. The pulley arrangeents of figure (a) and (b) are identical. The ass of the rope is negligible. In (a) the ass is lifted up by attaching a ass to the other end of the rope. In (b), is lifted up by pulling the other end of the rope with a constant downward force = g. The acceleration of is the sae in both cases. (a) (b) =g. car with closed windows akes a left turn. heliu filled balloon in the car will be pushed to the left side. 3. siple pendulu with a bob of ass swings with an angular aplitude of 40. When its angular displaceent is 0, the tension in the string is greater than g cos0. 4. When a person walks on a rough surface, the frictional force exerted by the surface on the person is opposite to the direction of his otion. 5. The force of friction on a body ay be zero even if it on a rough surface. 6. The frictional force is always in a direction opposite to the direction in which the body tends to ove relative to the other. 7. Two identical trains are oving on rails along the equator on the earth in opposite directions with the sae speed. They will exert the sae pressure on the rails. ILL IN TH LNKS. block of ass kg lies on a horizontal surface in a truck. The coefficient of static friction between the block and the surface is 0.6. If the acceleration of the truck is 5 /s, the frictional force acting on the block is... newtons.. unifor rod of length L & density is being pulled along a sooth floor with a horizontal acceleration (see figure) The agnitude of the stress (force/area) at the transverse cross section through the id point of the rod is... MTH TH OLUMN. In the diagra shown in figure (g = 0 /s ) L Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65 =60N 3kg =30 kg olun I olun II () cceleration of kg block (p) 8 SI unit () Net force on 3kg block (q) 5 SI unit () Noral reaction between kg and kg (r) SI unit (D) Noral reaction between 3kg and kg (s) 45 N (t) None 63 kg sooth =8N

14 J-Physics. Velocity of three particles, and varies with tie t as, v ˆ ˆ (ti 6 j) /s v (6ˆi 4tj) ˆ /s. Regarding the pseudo force atch the following table : v (3i ˆ 4ˆj) /s and olun I olun II () On as observed by (p) long positive x direction () On as observed by (q) long negative x direction () On as observed by (r) long positive y direction (D) On as observed by (s) long negative y direction (t) Zero SSRTION & RSON These questions contains, Stateent I (assertion) and Stateent II (reason).. Stateent I : stationary object placed on ground ay experience a pseudo force as observed by the reference frae attached to the ground. b e c a u s e Stateent II : arth (a rotating body) is a non inertial frae. () Stateent I is true, Stateent II is true ; Stateent II is correct explanation for Stateent I. () Stateent I is true, Stateent II is true ; Stateent II is NOT a correct explanation for stateent I () Stateent I is true, Stateent II is false (D) Stateent I is false, Stateent II is true. Stateent I : an who falls fro a height on a ceent floor receive ore injury than when he falls fro the sae height on a heap of sand. b e c a u s e Stateent II : The ipulse applied by a ceent floor is ore than the ipulse by sand floor. () Stateent I is true, Stateent II is true ; Stateent II is correct explanation for Stateent I. () Stateent I is true, Stateent II is true ; Stateent II is NOT a correct explanation for stateent I () Stateent I is true, Stateent II is false (D) Stateent I is false, Stateent II is true 3. Stateent I : In Karate a brick is broken with a bare hand. b e c a u s e Stateent II : In this process the ipulse is sharp. () Stateent I is true, Stateent II is true ; Stateent II is correct explanation for Stateent I. () Stateent I is true, Stateent II is true ; Stateent II is NOT a correct explanation for stateent I () Stateent I is true, Stateent II is false (D) Stateent I is false, Stateent II is true 64 Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65

15 J-Physics 4. Stateent I : eroplanes always fly at low altitudes. b e c a u s e Stateent II : ccording to Newton's third law of otion, for every action there is an equal and opposite reaction. () Stateent I is true, Stateent II is true ; Stateent II is correct explanation for Stateent I. () Stateent I is true, Stateent II is true ; Stateent II is NOT a correct explanation for stateent I () Stateent I is true, Stateent II is false (D) Stateent I is false, Stateent II is true 5. Stateent I : larger force is required to start the otion than to aintain it. b e c a u s e Stateent II : Kinetic friction coefficient is always less than (or equal to) static friction coefficient. () Stateent I is true, Stateent II is true ; Stateent II is correct explanation for Stateent I. () Stateent I is true, Stateent II is true ; Stateent II is NOT a correct explanation for stateent I () Stateent I is true, Stateent II is false (D) Stateent I is false, Stateent II is true 6. Stateent I : When brakes are applied on a wet road, a car is likely to skid. b e c a u s e Stateent II : ecause brakes prevent rotation of the wheels, and there is not sufficient friction between the road and the wheels. () Stateent I is true, Stateent II is true ; Stateent II is correct explanation for Stateent I. () Stateent I is true, Stateent II is true ; Stateent II is NOT a correct explanation for stateent I () Stateent I is true, Stateent II is false (D) Stateent I is false, Stateent II is true 7. Stateent I : Pulling a lawn roller is easier than pushing it. b e c a u s e Stateent II : Pushing increases the apparent weight and hence the force of friction. () Stateent I is true, Stateent II is true ; Stateent II is correct explanation for Stateent I. () Stateent I is true, Stateent II is true ; Stateent II is NOT a correct explanation for stateent I () Stateent I is true, Stateent II is false (D) Stateent I is false, Stateent II is true Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65 8. Stateent I : block of ass is kept at rest on an inclined plane, the net force applied by the surface to the block will be g. b e c a u s e Stateent II : ontact force is the resultant of noral contact force and friction force. () Stateent I is true, Stateent II is true ; Stateent II is correct explanation for Stateent I. () Stateent I is true, Stateent II is true ; Stateent II is NOT a correct explanation for stateent I () Stateent I is true, Stateent II is false (D) Stateent I is false, Stateent II is true 9. Stateent I : Two teas having a tug of war always pull equally hard on one another. b e c a u s e Stateent II : The tea that pushes harder against the ground, in a tug of war, wins. () Stateent I is true, Stateent II is true ; Stateent II is correct explanation for Stateent I. () Stateent I is true, Stateent II is true ; Stateent II is NOT a correct explanation for stateent I () Stateent I is true, Stateent II is false (D) Stateent I is false, Stateent II is true 65

16 J-Physics OMPRHNSION SD QUSTIONS oprehension # If three concurrent forces, and 3 3 are in equilibriu then according to Lai's theore. sin sin sin. One end of a string 0.5 long is fixed to a point and other end is fastened to a sall object of weight 8N. The object is pulled aside by a horizontal force, until it is 0.3 fro the vertical through. The agnitude of the tension T in the string and the force will be 3 8N () 6N, 0N () 0N, 6N () 8N, 0N (D) 3N, 4N. solid sphere of ass 0 kg is placed over two sooth inclined planes as shown in figure. Noral reaction at and will be : (g = 0 /s ) () 50 3N,50N () 50N, 50N () 50N,50 3N (D) 60N, 40N oprehension # ach of the three plates has a ass of 0 kg. If the coefficients of static and kinetic friction at each surface of contact are µ s = 0.3 and µ k = 0., respectively (g=0 s ) 8N D 00N 5N. The acceleration of block is () zero () /s () 4. /s (D) 5 /s. The acceleration of block is : () zero () /s () 4 /s (D) 5 /s 3. The acceleration of block D is : () /s () 0. /s () 5 /s (D) 3.36 /s 66 Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65

17 J-Physics oprehension # 3 xperient : The student pushes horizontally (rightward) on the crate and gradually increases the strength of this push force. The crate does not begin to ove until the push force reaches 400 N. xperient : The student applies a constant horizontal (rightward) push force for.0 s and easures how far the crate oves during that tie interval. In each trial the crate starts at rest, and the student stops pushing after the.0 s interval. The following table suarizes the results. Tr ia l Pu s h for ce (N) D is ta nce ( ) The coefficient of static friction between the crate and floor is approxiately : () 0.5 () 0.40 ().5 (D) 4.0. In experient, when the rightward push force was 50N the crate didn't ove. Why didn't it ove? () The push force was weaker than the frictional force on the crate () The push force had the sae strength as the gravitational force on the crate () The push force was stronger than the frictional force on the crate (D) The push force had the sae strength as the frictional force on the crate 3. The coefficient of kinetic friction between the crate and the floor is approxiately : () 0.0 ().0 () 3.0 (D) In trial 3, what is the crate's speed at the oent the student stops pushing it? ().0 /s ().0 /s () 3.0 /s (D) 5.0 /s oprehension # 4 If a string is attached with a block, then it can only pull the block, it can't push the block.. Two blocks shown in figure are connected by a heavy rope of ass 4kg. n upward force of 00 N is applied as shown. The tension at the id-point of the rope is (g = 0 s ) (a) 5N ().5 N () 90N (D) None of these =00N 5kg 4kg 7kg Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65. block of ass is attached with a assless instretchable string. reaking strength of string is 4 g. lock is oving up. The axiu acceleration and axiu retardation of the block can be. () 4g, 3g () 4g, g () 3g, g (D) 3g, 4g oprehension # 5 Iagine a situation in which the horizontal surface of block M 0 is sooth and its vertical surface is rough with a coefficient of friction. sooth M M 0 67 Rough( ) String

18 J-Physics. Identify the correct stateent(s) () If = 0, the blocks cannot reain stationary () for one unique value of, the blocks M and reain stationary with respect to M 0 () the liiting friction between and M 0 is independent of (D) there exist a value of at which friction force is equal to zero. In above proble, choose the correct value(s) of which the blocks M and reain stationary with respect to M 0 () (M 0 + M + ) g () M M g 0 M () (M 0 + M + ) g M (D) None of these 3. onsider a special situation in which both the faces of the block M 0 are sooth, as shown in adjoining figure. Mark out the correct stateent(s) sooth M M 0 Sooth () If = 0, the blocks cannot reain stationary () for one unique value of, the blocks M and reains stationary with respect to block M 0 () there exist as a range of for which blocks M and reain stationary with respect to block M 0 (D) since there is no friction, therefore, blocks M and cannot be in equilibriu with respect to M 0 4. In above proble, the value(s) of for which M and are stationary with respect to M 0 () (M 0 + M + )g oprehension # 6 () (M 0 + M + ) g M () (M 0 + M + ) Mg (D) None of these rod of length (< R) is kept inside a sooth spherical shell as shown in figure. Mass of the rod is. R. Keeping ass to be constant if length of the rod is increased (but always < R) the noral reactions at two ends of the rod. () Will reain constant () Will increase () Will decrease (D) May increase or decrease. The noral reaction when = R is : () g () g 4 68 () g 3 (D) g 3 Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65

19 J-Physics oprehension # 7 ontact force c between two bodies is the resultant of force of friction and noral reaction.. ontact force for shown position is (g = 0 s ) 0 N kg =0., =0. s k (a) 40N () 66 N () 4N (D) None of these. tie varying force is applied on a block placed over a rough surface as shown in figure. Let be the angle between contact force on the block and the noral reaction, then with tie, will : () Reain constant Rough = t () irst increase to a axiu value (say ax ) and then becoes constant in a value less then ax () irst decrease to a iniu value (say in ) and then becoes constant in a value ore than in (D) None of the above MISLLNOUS TYP QUSTION NSWR KY XRIS -3 Tr ue / alse.. T 3. T T 6. T 7. ill in the lanks. 5. L Match the olun. ()-r, ()-t, () -q, (D) -t. ()-t, ()-r, ()-r, (D)-q Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65 ssertion - Reason oprehension ased Questions oprehension # :.. oprehension # :.. 3. oprehension #3:.. D D oprehension #4 :.. oprehension #5 :.,D., 3., 4. oprehension #6 :.. D oprehension #7 :.. 69

20 J-Physics XRIS 04 [] ONPTUL SUJTIV XRIS. solid sphere of ass kg is resting inside a cube as shown in figure. The cube is oving with a velocity v ( 5 ti tj ) /sec. Here t is the tie in second. ll surface are sooth. The sphere is at rest with respect to the cube. What is the total force exerted by the sphere on the cube? (Take g = 0 s ). If contact force between kg and 4kg is f and between 4kg and 6 kg is f. ind out f and f. 4N kg 6kg 4kg N 3. ig. shows a bead of ass oving with unifor speed v through a U shaped sooth wire the wire has a seicircular bending between and. alculate The average force exerted by the bead on the part of the wire. 4. onkey of ass 40 kg clibs on a rope which can stand a axiu tension of 600 N. alculate tension in rope in following cases. In which case will the rope break : (i) The onkey clibs up with an acceleration of 6 s. (ii) The onkey clibs down with an acceleration of 4 s. (iii) The onkey clibs up with a unifor speed of 5 s. Neglect the ass of string. 5. Two blocks of ass.9 kg and.9 kg are suspended fro a rigid support S by two inextensible wires each of length (see figure). The upper wire has negligible ass and the lower wire has a unifor ass of 0. kg/. The whole syste of blocks, wires and support have an upward acceleration of 0. /s. The acceleration due to gravity is 9.8 /s. (i) ind the tension at the idpoint of the lower wire. (ii) ind the tension at the idpoint of the upper wire. 70 S.9kg.9kg Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65

21 J-Physics 6. dynaoeter is attached to two blocks of asses 6 kg and 4 kg. orces of 0 N and 0 N are applied on the blocks as shown in figure. ind the dynaoeter reading. 7. alculate the force of friction for shown situation. 8. If the two blocks oves with a constant unifor speed then find coefficient of friction between the surface of the block and the table. The spring is assless and the pulley is frictionless. 9. Masses M, M and M 3 are connected by strings of negligible ass which pass over assless and frictionless pulleys P and P as shown in fig. The asses ove such that the portion of the string between P and P is parallel to the inclined plane and the portion of the string between P and M 3 is horizontal. The asses M and M 3 are 4.0 kg each and the coefficient of kinetic friction between the asses and the surfaces is 0.5. The inclined plane akes an angle of 37 with the horizontal. If the ass M oves downwards with a unifor velocity, find the ass of M. P M P M 37 M 3 0. block of ass rests on a horizontal floor with which it has a coefficient of static friction µ. It is desired to ake the body ove by applying the iniu possible force. ind the agnitude of and the direction in which it has to be applied.. force of 00N is applied on a block of ass 3 kg as shown in figure. The coefficient of friction between the wall and the surface of the block is. alculate frictional force acting on the block. 4 Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p =00N. block of ass 5kg is resting on a rough inclined plane as shown in figure. The block is tied up by a horizontal string which has a tension of 50N. alculate the coefficient of friction between the block and inclined plane. M 45

22 J-Physics 3. N of force required to be applied on to slip on. ind the axiu horizontal force to be applied on so that and oves together. 4. Two block of ass 8 kg and 4kg are connected by a string as shown. alculate their acceleration if they are initially at rest on the floor, when a force of 00N is applied on the pulley in upward direction (g = 0s ) 5. ind force in newton which ass exerts on ass if is oving towards right with 3 s. ll surfaces are sooth and g=0/s. 3/s kg thin rod of length is fixed in a vertical position inside a train, which is oving horizontally with constant acceleration 4 /s. bead can slide on the rod, and friction coefficient between the is /. If the bead is released fro rest at the top of the rod, find the tie when it will reach at the botto. (g=0/s ) ONPTUL SUJTIV XRIS NSWR KY X R IS - 4 ( ). ( 0I ˆ 4J) ˆ N. N, 8N 3. 4v d 5. (i) 0 N (ii) 50 N 6. 4 N N 8. g kg 0., tan 7 4. (i) 63 N, (ii) 3 N (iii) 39 N,case (a) fro horizontal. 0N vertically downward N 4. or 4 kg a =.5 s, or 8 kg a=0 5. 5N 6. s Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65

23 J-Physics XRIS 04 [] RIN STORMING SUJTIV XRIS. syste of two blocks and a light string are kept on two inclined faces (rough) as shown in the figure below. ll the required data are entioned in the diagra. Pulley is light and frictionless. (Take g = 0 /s, sin 37 = 3/5) If the syste is released fro rest then what is the range of the tension in the string? S =0.3 K =0.5 0kg 5kg S =0. K = s shown in the figure blocks of asses M, M and M are connected through a light string as shown, pulleys are light and sooth. riction is only between block and floor. Syste is released fro rest. ind the acceleration of blocks, and and tension in the string. M M tan M 3. The coefficient of static and kinetic friction between the two blocks and also between the lower block and the ground are s = 0.6 and upper block begins to slip relative to lower block. k = 0.4 ind the value of tension T applied on the lower block at which the M=kg M=kg ( s=0.6, =0.4) k T Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65 4. The syste shown is in equilibriu. ind the acceleration of the blocks, & all of equal asses at the instant when (ssue springs to be ideal) (i) the spring between ceiling & is cut. (ii) The string (inextensible) between & is cut. (iii ) The spring between & is cut. lso find the tension in the string when the syste is at rest and in the above 3 cases. 73 k k

24 J-Physics 5. In the syste shown. ind the initial acceleration of the wedge of ass 5M. The pulleys are ideal and the chords are inextensible. (There is no friction anywhere) M 5M M 6. syste of asses is shown in the figure with asses & coefficients of friction indicated. alculate : 0kg 30kg 40kg =0. =0. =0. (i) the axiu value of for which there is no slipping anywhere (ii) the iniu value of for which slides on (iii) the iniu value of for which slips on. 7. = 0 kg, = 30 kg. is on sooth surface. Surface between and has s = 0.5 and ind the acceleration of and for the following figures (a) and (b). When k = 0.3 = 60 N, = 75 N = 60 N 8. car begins to ove at tie t =0 and then accelerates along a straight track with a speed given by V(t) = t s for 0 t. fter the end of acceleration, the car continues to ove at a constant speed. sall block initially at rest on the floor of the car begins to slip at t= sec. and stops slipping at t =3 sec. ind the coefficient of static and kinetic friction between the block and the floor. (g=0/s ) 9. Three identical rigid cylinders, and are arranged on sooth inclined surfaces as shown in figure. ind the least value of that prevent the arrangeent fro collapse. 0. lock descends vertically at /s. ind the velocity of relative to. 74 Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65

25 J-Physics bead of ass is attached to one end of a spring of natural length 3 R and spring constant k = 3 g. The other end of the spring is fixed at point on a sooth fixed vertical ring of radius R R as shown in the figure. What is the noral reaction at just after the bead is released? The blocks are of ass kg shown is in equilibriu. t t=0 right spring in figure(i) and right string in figure (ii) breaks. ind the ratio of instantaneous acceleration of blocks? kg kg RIN STORMING SUJTIV XRIS NSWR KY X R I S - 4 ( ) 3.40 to 43 N. a a g sin, g 4 = g sin, T = gsin 3. 40N Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65 4. (i) a = a = 3g, a =0 (ii) a = g, a = g, a =0 (iii) a = a = g, a =g 5. g 3 7. (i) (a) a a 3.s (b) a 5.75s, a 8. s =0.4, k = tan (i) 90N (ii).5 N (iii) 50 N s (ii) a 75 a 5s, 0. 3 s towards left. 0 s 3 3 g. 5 4

26 J-Physics XRIS 05 [] PRVIOUS YR QUSTIONS. When forces,, 3 are acting on a particle of ass such that and 3 are utually perpendicular, then the particle reains stationary. If the force is now reoved then the acceleration of the particle is- [ I - 00] () / () 3 / (3) ( 3 )/ (4) /. Three identical blocks of asses = kg are drawn by a force with an acceleration of 0.6 s on a frictionless surface, then what is the tension (in N) in the string between the blocks and [I - 00] () 9. (). (3) 4 (4) One end of assless rope, which passes over a assless and frictionless pulley P is tied to a hook while the other end is free. Maxiu tension that the rope can bear is 840 N. With what value of axiu safe acceleration (in s ) can a an of 60 kg clib on the rope? [I - 00] P () 6 () 6 (3) 4 (4) 8 4. light spring balance hangs fro the hook of the other light spring balance and a block of ass M kg hangs fro the forer one. Then the true stateent about the scale reading is- [ I - 003] () both the scales read M kg each () the scale of the lower one reads M kg and of the upper one zero (3) The reading of the two scales can be anything but the su of the readings will be M kg (4) both the scales read M/ kg 5. spring balance is attached to the ceiling of a lift. an hangs his bag on the spring and the spring reads 49 N, when the lift is stationary. If the lift oves downward with an acceleration of 5 /s, the reading of the spring balance will be- [ I - 003] () 4 N () 74 N (3) 5 N (4) 49 N 6. rocket which has a ass of kg is blasted upwards with an initial acceleration of 0 /s. Then the initial thrust of the blast is- [ I - 003] () N () N (3) N (4) N 7. Three forces start acting siultaneously on a particle oving with velocity v. These forces are represented in agnitude and direction by the three sides of a triangle (as shown). The particle will now ove with velocity- [ I - 003] () Less than v () greater than v (3) v in the direction of largest force (4) v, reaining unchanged 76 Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65

27 J-Physics 8. block of ass M is pulled along a horizontal frictionless surface by a rope of ass. If a force P is applied at the free end of the rope, the force exerted by the rope on the block is- [ I - 003] P P PM () () (3) P (4) M M M 9. horizontal force of 0 N is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is 0.. The weight of the block is- [ I - 003] 0N () 0 N () 50 N (3) 00 N (4) N 0. arble block of ass kg lying on ice when given a velocity of 6 /s is stopped by friction in 0 s. Then the coefficient of friction is- [ I - 003] () 0.0 () 0.03 (3) 0.06 (4) 0.0. achine gun fires a bullet of ass 40 g with a velocity 00 s. The an holding it, can exert axiu force of 44 N on the gun. How any bullets can he fire per second at the ost? [ I - 004] () One () our (3) Two (4) Three. Two asses = 5 kg and = 4.8 kg tied to a string are hanging over a light frictionless pulley. What is the acceleration of the asses when they are free to ove? (g = 9.8 /s ) [I - 004] () 0. /s () 9.8 /s (3) 5 /s (4) 4.8 /s 3. block rests on a rough inclined plane aking an angle of 30 with the horizontal. The coefficient of static friction between the block and the plane is 0.8. If the frictional force on the block is 0 N, the ass of the block (in kg) is : (taken g = 0 /s ) [I - 004] ().0 () 4.0 (3).6 (4).5 4. block is kept on a frictionless inclined surface with angle of inclination. The incline is given an acceleration a to keep the block stationary. Then a is equal to- [ I - 005] Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65 () g/tan () g cosec (3) g (4) g tan 5. sooth block is released at rest on a 45 incline and then slides a distance d. The tie taken to slide is n ties as uch to slide on rough incline than on a sooth incline. The coefficient of friction is- [I - 005] () µ k = n () µ k = n (3) µ s = n 77 a (4) µ s = n

28 J-Physics 6. The upper half of an inclined plane with inclination is perfectly sooth, while the lower half is rough. body starting fro rest at the top will again coe to rest at the botto, if the coefficient of friction for the lower half is given by- [ I - 005] () sin () cos (3) tan (4) tan 7. onsider a car oving on a straight road with a speed of 00 /s. The distance at which car can be stopped, is : [µ k = 0.5] [I - 005] () 800 () 000 (3) 00 (4) player caught a cricket ball of ass 50 g oving at a rate of 0 /s. If the catching process is copleted in 0. s., the force of the blow exerted by the ball on the hand of the player is equal to- [I - 006] () 50 N () 3 N (3) 30 N (4) 300 N 9. block of ass is connected to another block of ass M by a spring (assless) of spring constant k. The blocks are kept on a sooth horizontal plane. Initially the blocks are at rest and the spring is unstretched. Then a constant force starts acting on the block of ass M to pull it. ind the force on the block of ass :- [I - 007] () M () (M ) (3) ( M) 0. Two fixed frictionless inclined planes aking an angle 30 and 60 with the vertical are shown in the figure. Two blocks and are placed on the two planes. What is the relative vertical acceleration of with respect to? () 4.9 s in vertical direction. [I - 00] () 4.9 s in horizontal direction (3) 9.8 s in vertical direction (4) Zero (4) M ( M). The iniu force required to start pushing a body up a rough (frictional coefficient µ) inclined plane is while the iniu force needed to prevent it fro sliding down is. If the inclined plane akes an angle fro the horizontal such that tan = µ then the ratio is :- [I - 0] () 4 () (3) (4) 3. particle of ass is at rest at the origin at tie t = 0. It is subjected to a force (t) = 0 e bt in the x-direction. Its speed v(t) is depicted by which of the following curves? [ I - 0] () b 0 v(t) t 0 b () v(t) t (3) 0 b v(t) t (4) 0 b v(t) t PRVIOUS YRS QUSTIONS NSWR KY XRIS -5 Que ns Que ns Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65

29 J-Physics XRIS 05 [] PRVIOUS YR QUSTIONS MQ' S WITH ON ORRT NSWR. long horizontal rod has a bead which can slide along its length and is initially placed at a distance L fro one end of the rod. The rod is set in angular otion about with a constant angular acceleration,. If the coefficient of friction between the rod and bead is µ, and gravity is neglected, then the tie after which the bead starts slipping is : [IIT-J 000] () () () (D) infinitesial. insect crawls up a heispherical surface very slowly (see the figure). The coefficient of friction between the surface and the insect is. If the line joining the centre of the heispherical surface to the insect 3 akes an angle with the vertical, the axiu possible value of is given : [IIT-J 00] () cot = 3 () tan = 3 () sec = 3 (D) cosec = 3 3. string of negligible ass going over a claped pulley of ass supports a block of ass M as shown in the figure. The force on the pulley by the clap is given by : [IIT-J 00] M () Mg () g () (D) (M ) g (M ) M g 4. The pulleys and strings shown in the figure are sooth and of negligible ass. or the syste to reain in equilibriu, the angle should be : [IIT-J 00] Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65 () 0 () 30 () 45 (D) What is the axiu value of the force such that the block shown in the arrangeent, does not ove : [IIT-J 003] 60 = 3kg 79 µ= 3 () 0 N () 0 N () N (D) 5 N

30 J-Physics 6. block P of ass is placed on a horizontal frictionless plane. second block of sae ass is placed on it and is connected to a spring of spring constant k, the two blocks are pulled by distance. lock Q oscillates without slipping. What is the axiu value of frictional force between the two blocks: k Q P µ s () k () k () µ S g (D) zero [IIT-J 004] 7. Syste shown in figure is in equilibriu and at rest. The spring and string are assless, now the string is cut. The acceleration of ass and just after the string is cut will be : [IIT-J 006] () g upwards, g downwards () g upwards, g downwards () g upwards, g downwards (D) g upwards, g downwards 8. Two particles of ass each are tied at the ends of a light string of length a. The whole syste is kept on a frictionless horizontal surface with the string held tight so that each ass is at the distance a fro the centre P (as shown in the figure). Now, the id point of the string is pulled vertically upwards with a sall but constant force. s a result, the particles ove towards each other on the surface. The agnitude of acceleration, when the separation between the becoe x, is : [IIT-J 007] a P a a () a x x () a x 80 () x a (D) a x x 9. piece of wire is bent in the shape of a parabola y = kx (y-axis vertical ) with a bead of ass on it. The bead can slide on the wire without friction. It stays at the lowest point of the parabola when the wire is at rest. The wire is now accelerated parallel to the x-axis with a constant acceleration a. The distance of the new equilibriu position of the bead, where the bead can stay at rest with respect to the wire, fro the y-axis is :-[IIT-J 009] () a gk () a gk () a gk (D) a 4gk Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65

31 J-Physics 0. block of ass is on an inclined plane of angle. The coefficient of friction between the block and the plane is and tan >. The block is held stationary by applying a force P parallel to the plane. The direction of force pointing up the plane is taken to be positive. s P is varied fro P = g (sin cos) to P =g(sin + cos), the frictional force f versus P graph will look like [IIT -J - 0 0] () () () (D) SSRTION RSON This questi on contains, stateent I (assertion) and stateent II (reason).. Stateent I : cloth covers a table. Soe dishes are kept on it. The cloth can be pulled out without dislodging the dishes fro the table. [IIT-J 007] ecause : Stateent II : or every action there is an equal and opposite reaction. () stateent I is true, stateent II is true; stateent II is a correct explanation for stateent I () stateent I is true, stateent II is true, stateent II is NOT a correct explanation for stateent I () stateent I is true, stateent II is false (D) stateent I is false, stateent II is true. Stateent -I : It is easier to pull a heavy object than to push it on a level ground. [IIT-J 008] a n d Stateent-II: The agnitude of frictional force depends on the nature of the two surface in contact. () stateent I is true, stateent II is true; stateent II is a correct explanation for stateent I () stateent I is true, stateent II is true, stateent II is NOT a correct explanation for stateent I () stateent I is true, stateent II is false (D) stateent I is false, stateent II is true SUJTIV QUSTIONS 3. In the figure asses, and M are 0 kg, 5 kg and 50 kg respectively. The coefficient of friction between M and ground is zero. The coefficient of friction between and M and that between and ground is 0.3. The pulleys and the strings are assless. The string is perfectly horizontal between P and and also between P and. The string is perfectly vertical between P and P. n external horizontal force is applied to the ass M. Take g = 0 /s. [IIT-J 000] P Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65 P (i) Draw a free body diagra of ass M, clearly showing all the forces. (ii) Let the agnitude of the force of friction between and M be ƒ and that between and ground be ƒ. or a particular force it is found that ƒ = ƒ. ind ƒ and ƒ. Write equations of otion of all the asses. ind, tension in the string and acceleration of the asses. 8 M

32 J-Physics 4. Two blocks and of equal asses are release fro an inclined plane of of inclination 45 at t = 0. oth the blocks are initially at rest. The coefficient of kinetic friction between the block and the inclined plane is 0. while it is 0.3 for block. Initially the block is behind the block. When and where their front faces will coe in a line. (Take g = 0 /s ) [IIT-J 004] circular disc with a groove along its diaeter is placed horizontally. block of ass kg is placed as shown. The coefficient of friction between the block and all surface of groove in contact is µ = 5. The disc has an acceleration of 5 /s. ind the acceleration of the block with respect to disc. [IIT-J 006] a=5/s INTGR TYP QUSTIONS cos =4/5 sin =3/5 6. block is oving on an inclined plane aking an angle 45 with the horizontal and the coefficient of friction is. The force required to just push it up the inclined plane is 3 ties the force required to just prevent it fro sliding down. If we define N =0, then N is [IIT-J-0] J-[DVND] : PRVIOUS YR QUSTIONS NSWR KY XRIS 5 [] MQ's One correct answers.. 3. D sserti on - Reason Questions.. Subjective Questions 3. (i) T T T Integer type questions N T f Mg N (ii) 60N, 8N, 3 5 s 4. (or )8, s 5. 0 s Node-6\:\Data\04\Kota\J-dvanced\SMP\Phy\NLM\nglish\xercise.p65

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