Questions from all units

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Questions from all units S.NO 1. 1 UNT NO QUESTON Explain the concept of force and its characteristics. BLOOMS LEVEL LEVEL 2. 2 Explain different types of force systems with examples.

1 Questions from all units S.NO 1. 1 UNT NO QUESTON Explain the concept of force and its characteristics. BLOOMS LEVEL LEVEL 2. 2 Explain different types of force systems with examples. Determine the magnitude and direction of the resultant force as shown in fig 3. 3 Apply Explain principle of transmissibility of forces. Explain parallelogram law of forces Two forces P and Q are applied as shown at point A of a hook support. Knowing that P =15 N and Q = 25 N, determine the magnitude and direction of their resultant using (a) the parallelogram law, (b) the Triangle rule Apply 7. 7 Determine the magnitude and direction of the resultant of the two forces. Apply

8. 8 The resultant of the two forces when they act at an angle of 65 0 is 20 N. f the same forces are acting at right angles their resultant is 16.5 N. Determine the magnitude of the two forces.

9 Determine the magnitude and direction of the resultant force as shown in fig 10. 1 11. 11 12. 1 13.

2 8. 8 The resultant of the two forces when they act at an angle of 65 0 is 20 N. f the same forces are acting at right angles their resultant is 16.5 N. Determine the magnitude of the two forces. Two forces are applied to an eye bolt fastened to a beam. Determine the magnitude and direction of their resultant using (a) the parallelogram law, (b) the triangle rule Determine the magnitude and direction of the resultant force as shown in fig Determine the magnitude and the direction of the resultant of two forces 7 N and 8 N acting at a point with an included angle of 60 o with between them. The force of 7 N being horizontal. Define moment of force and couple, moment centre, moment arm and axis of moment State and prove varignon s theorem

3 Explain the procedure to find the resultant of several forces acting at a point Define the term moment of a force and couple Find the moment of 50N force applied on a bent jandle as shown in figure about the base O A rigid bar is subjected to a system of parallel forces as shown in figure. Reduce this system to i) a single force. b) a single force-moment system at A. c) a single force-moment system at B A single force can be resolved into a force and couple Explain. Define Lami s theorem and prove the theorem Find the magnitude of the two forces such that if they act of forces at right angles their resultant is sq. root 10N. But if they act at 60 degrees their resultant is sq. root 13N Explain the concept of equilibrium and free body diagram

22. 2 23. 2 Explain the different types supports and support reactions Two identical rollers, each of weight 100N, are supported by an inclined plane and a vertical wall as shown in figure below.

4 Explain the different types supports and support reactions Two identical rollers, each of weight 100N, are supported by an inclined plane and a vertical wall as shown in figure below. Assuming smooth surfaces, find the reactions induced at the points of support A, B and C Define a two force Equilibrium and Three force Equi;ibrium.. A ball of weight Q = 12 N rests in a right - angled trough, as shown in fig 1. Determine the forces exerted on the sides of the trough at D (RD) and E (RE) if all surfaces are perfectly smooth The smooth cylinders rest in a horizontal channel having vertical walls, the distance between which is a (shown in fig).find the pressures exerted on the walls and floor at the points of contact A,B,D and F. The following numerical data are given: P=200N, Q=400N, R=300N, r 1 =120mm,

5 r 2 =180mm,r 3 =150mm and a=540mm Explain different types of beams and supports Differentiate between active forces and reactive forces Write the Equilibrium equations for concurrent forces in space A force 100 N is directed from A (2, 0, 4) to B (3, 3, 5). system in space What is the moment of force about the origin? Explain the reactive force between two smooth surfaces incontact with each other State and prove Lame s theorem What are the conditions of equilibrium for concurrent, parallel force system. A lamp weighing 5 N is suspended from the ceiling by means of a wire. t is pulled to one side by a horizontal cord, until the wire makes an angle of 60 0 with the ceiling. Find the tension in the wire and cord Explain Converse law of triangle Evaluate

leg AB and a compressive force of 283 N in leg AC Determine the force in leg Ad and the coordinates

6 36. 3 Evaluate A vertical load p=800n applied to the tripod shown in fig causes a compressive force of 256 N in leg AB and a compressive force of 283 N in leg AC Determine the force in leg Ad and the coordinates X D and Z D of its lower end A vertical mast Ae is supported in a ball and socket joint at A and by cables CE and BD as shown in fig. Find the components of the reaction at A.

39. 4 A box of mass 200Kg is supported by 3 cables as shoewn in the fig. Determine the tension in each cable. 40. 4 41. 4 42. 4 43. 4 44.

Define and Explain centre of gravity and Distinguish between centre of gravity and centroid Derive an expression for the centre of gravity of a plane area

7 39. 4 A box of mass 200Kg is supported by 3 cables as shoewn in the fig. Determine the tension in each cable A vertical load of 50 kg is supported by three rods positioned as shown in fig. Determine the force in each rod. Define and Explain centre of gravity and Distinguish between centre of gravity and centroid Derive an expression for the centre of gravity of a plane area using method of moments. Find the centroid of a semi circular lamina of radius R from its base Determine the centroid of a triangle lamina of base b and height h Locate the centroid C of the shaded area shown in fig Apply

8 Find the centroid of the plane lamina shown in Figure. 46. Locate the Centroid of the plane lamina shown in figure Derive an equation for Centroid of the sector of a circle. 49. Find the centroid of the shaded figure?

9 50. State and prove the first theorem of pappus & guildinus to find the surface area of solids of revolution with the help of examples b) Locate the centroid of plane areas shown in the figure All dimensions are in cm Find the centroid of the area shown in figure, All dimensions are in cm V To calculate the moment of inertia to the

10 given figure? To calculate the moment of inertia to the given figure? 53. V Calculate the moment of inertia of the given figure? 54. V 55. V Give out the transfer formula and polar moment of inertia? 56. V Find the Mass moment of inertia for a cone

of Height H and Diameter d 57. V State and prove the perpendicular axis theorem or polar moment of inertia. 58. V Explain the radius of gyration. What is its application? 59.

11 of Height H and Diameter d 57. V State and prove the perpendicular axis theorem or polar moment of inertia. 58. V Explain the radius of gyration. What is its application? 59. V State and prove the parallel axis theorem or parallel axis theosrem Calculate M of the shaded area 60. V 61. V Define mass M and explain transfer formula for mass M 62. V Define Radius of Gyration for Mass M apply 63. V Define friction explain Different types sof friction with examples Two blocks A of mass 10 kg and B of mass 28 kg are separated by 12 m as shown in fig. f the blocks starts moving, find the time t, when the blocks collide. Assume coeffient of friction for block A 0.25 and block B V APPLY 65. V n the system of pulleys, the pulleys are massless and the strings are inextensible.

Mass of A = 2kg mass of B = 4kg and mass of C = 6kg as shown in the fig. f the system is released from rest find a) Tension in each of the three string and b) acceleration of each of the three masses.

12 Mass of A = 2kg mass of B = 4kg and mass of C = 6kg as shown in the fig. f the system is released from rest find a) Tension in each of the three string and b) acceleration of each of the three masses. Define coefficient of friction, Angle of friction, Angle of repose, cone of friction? b) A 10 m long ladder rests on a horizontal floor and leans against a vertical wall.f the coefficient of friction between the ladder and the floor and between the ladder the wall are respectively µ f =0.3 and µ w = 0.15 determine the angle of inclination of the ladder with the floor at the point of impending motion 66. V 67. V Define static friction and dynamic friction? apply b)a single threaded screw jack has a pitch of 12mm and mean diameter of 75 mm the coef of static friction between the screw and the nut is 0.2 and that of kinetic friction is 0.1

13 determine the force p to be applied at the end of a 500 mm long lever i) to just lift a weight of 25 KN ii) to keep the screw jack turning. a)state Coulombs laws of dry friction? 68. V b)a block of weight W 1 =1000N rests on a horizontal surface and supports on top of it another block W 2 =250 N as shown in figure. The block W 2 is attached to vertical wall by the inclined string AB. Find the magnitude of horizontal force P applied to the lower block as shown that will be necessary to cause slipping to impend. The coefficient of static friction for all contact surfaces is µ=0.3 Define cone of friction, limiting friction. 69. V b)two bodies of weights 250N and 500 N are connected by a string amd are placed on an inclined plane as shown in fig. The string is parallel to the plane. The coefficient of friction are 0.2 for the 250 N and 0.5 for 500 N body. f the sliding of the bodies down the plane is about to commence, calculate the inclination of plane and the string tension. Define static friction and dynamic friction? 70. b)a single threaded screw jack has a pitch of 12mm and mean diameter of 75 mm the coef of static friction between the screw and the nut is 0.2 and that of kinetic friction is 0.1 determine the force p to be applied at the end of a 500 mm long lever i) to just lift a weight of 25 KN ii) to keep the screw jack turning 71.

KINGS COLLEGE OF ENGINEERING ENGINEERING MECHANICS QUESTION BANK UNIT I - PART-A

KINGS COLLEGE OF ENGINEERING ENGINEERING MECHANICS QUESTION BANK Sub. Code: CE1151 Sub. Name: Engg. Mechanics UNIT I - PART-A Sem / Year II / I 1.Distinguish the following system of forces with a suitable