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Hoizontal Cicula Motion 1. A paticle of mass m is tied to a light sting and otated with a speed v along a cicula path of adius. If T is tension in the sting and mg is gavitational foce on the paticle then, the actual foces acting on the paticle ae 1) mg, and T only ) mg, T and an additional foce of 3) mg, T and an additional foce of 4) Only a foce mv mv mv diected outwads diected inwads diected outwads. Many geat ives flow towads the equato, what effect does the sediment they cay to sea have on the otation of the eath? 1) The otation of the eath slows down ) The otation of the eath speeds up 3) No effect on the otation of the eath 4) None 3. Identify the inceasing ode of angula velocities of following a) Eath otating about its own axis b) Hou s hand of clock c) Seconds hand of clock d) Fly wheel of adius m making 300.p.m. 1) a, b, c, d ) b, c, d, a 3) c, d, a, b 4) d, a, b, c 4. A): Centipetal foce does not wok in cicula motion. R): Foce and displacements ae pependicula to each othe in cicula motion. 1) Both (A) and (R) ae tue and (R) is the coect explanation of (A). ) Both (A) & (R) ae tue but (R) is not coect explanation of (A). 3) (A) is tue and (R) is false. 4) (A) is false but (R) is tue.

5. A): A coin placed on a otating disc flies away if the angula velocity is gadually inceased. R): Fiction cannot povide the sufficient centipetal foce. 1) Both (A) and (R) ae tue and (R) is the coect explanation of (A). ) Both (A) & (R) ae tue but (R) is not coect explanation of (A). 3) (A) is tue and (R) is false. 4) (A) is false but (R) is tue. 6. A): A ball connected to a sting is in cicula motion on a fictionless hoizontal table and is in equilibium. R): Magnitude of the centipetal foce is equal to the magnitude of the tension in the sting. 1) Both (A) and (R) ae tue and (R) is the coect explanation of (A). ) Both (A) & (R) ae tue but (R) is not coect explanation of (A). 3) (A) is tue and (R) is false. 4) (A) is false but (R) is tue. 7. A paticle moves aound a cicula path in the xy-plane with angula velocity ω and angula acceleationα. (A): α lies along the z-axis. (R): The diection of α must be the same as the diection of dω. (1) Both A and R ae tue and R is the coect explanation of A. () Both A and R ae tue but R is not the coect explanation of A. (3) A is tue, R is false. (4) A is false but R is tue.

8. In a conical pendulum, the bob moves on a hoizontal cicula path, with constant speed and the sting makes a fixed angle with vetical. (A): The net foce due to tension of the sting and weight of the bob is non-zeo (R): This must be so because a foce is equied to keep the bob moving in a cicle with constant speed. (1) Both A and R ae tue and R is the coect explanation of A. () A is false and R is the tue explanation of A. (3) A is tue but R is false. (4) Both A and R ae tue, but R is not the coect explanation of A. 9. Match list-i with List-II. (a) Centipetal foce (b) Centifugal foce (c) Conical Pendulum (d) Foucault s Pendulum List -II (e) Eath s otation (f) Steam govenos (g) Tides (1) a-e, b-h, c-f, d-g () a-e, b-g, c-f, d-e (3) a-f, b-h, c-e, d-g (4) a-g, b-f, c-e, d-g 10. Match list I with list II. (h) Tension in the sting of a simple pendulum I a) Consevation of e) Kinetic enegy is same angula momentum b) Unifom cicula f) No dimensions c) Angula displacement g) Toque is zeo motion h) Foce (1) a-g, b-e, c-f, d-h () a-g, b-h, c-f, d-f (3) a-e, b-h, c-f, d-g (4) a-e, b-f, c-h, d-g

11. A paticle of mass m is moving in a hoizontal cicle of adius unde a centipetal foce equal to k/, whee k is a constant. Match List-I with List-II. I (a) Kinetic enegy (e) km (b) Total enegy (c) Linea momentum (d) Angula momentum (f) (g) km k k (h) (1) a-g, b-h, c-e, d-f () a-h, b-e, c-g, d-f (3) a-g, b-h, c-f, d-e (4) a-h, b-g, c-f, d-e 1. Match list-i with list II. I a) Centifugal foce e) Along the axis of otation b) Centipetal foce f) Towads the cente of otations c) Tangential foce g) Away fom the cente of otation d) Angula velocity h) Changes the angula velocity (1) a-h, b-g, c-f, d-e () a-g, b-f, c-h, d-e (3) a-f, b-g, c-h, d-e (4) a-e, b-h, c-e, d-f 13. The angula velocity of second s hand in a watch clock is: (in ads -1 ) 1) 30 ) 60 3) 1800 4) 3600 14. A ca is moving with a speed of 30 ms 1 on a cicula path of adius 500 m. If its speed is inceasing at the ate of ms, the net acceleation of the ca is 1) 3.6 ms ).7 ms 3) 1.8 ms 4) ms

15. The speed of a moto inceases fom 100 pm to 1800 pm in 0S.Numbe of evolutions made in this peiod of time 1) 400 ) 00 3) 500 4) 800 16. A paticle of mass m is moving in a hoizontal cicle of adius unde a centipetal foce k/ whee K is a constant. The total enegy of the paticle is 1) K/ ) K/ 3) K/ 4) K/ 17. A paticle descibes a hoizontal cicle on the smooth suface of an inveted cone. The plane of that cicle is at a height of 9.8cm above the vetex. Then the speed of the paticle is 1) 0.49 ms 1 ) 0.98 ms 1 3) 1.96 ms 1 4) 3.9 ms 1 18. A chain of 100 links is 1m long and has a mass of kg. With the ends fastened togethe it is set otating at 3000 pm, in a hoizontal plane. The centipetal foce on each link is 1) 3.14 N ) 31.4N 3) 314 N 4) 3140 N 19. A boy is sitting on a hoizontal platfom in the shape of a disc at a distance of 5m fom its cente. The boy begins to slip when the speed of wheel exceeds 10 pm. The coefficient of fiction between the boy and platfom is. (g = 10 ms ) 1) ) 6 3) 18 4) 6 0. Length of seconds hand in a clock, is 15 cm. Change in the linea velocity of the tip of the hand afte 15 sec. is 1) /sec cm ) cm /sec 3) /sec cm 4) cm/sec

Key 13. 14. 15. 16. 17. 1) 1 ) 1 3) 1 4) 1 5) 1 6) 4 7) 1 8) 1 9) 10) 1 11) 4 1) 13) 1 14) 15) 3 16) 17) 18)3 19) 0) 1 ω = T a= a + a t a t = ms - a a = = / 60 30 ad s v 900 = = = 1.8 m / s 500 = 3.6 + 4 = 7.6 =.7 m/ s 60 + 40 θ = N =.0 N = 500 mv k k = mv = KE = K/ TE = -KE = Ncos Tan K θ= mw NSinθ= mg g w g v h θ= = = g v Hints v= gh = 0.98ms 1

18. F = mw 1 = x x 3000x 100 60 = 314N 19. μ mg = mw 0. ω S = 30 5x 10x 60 μ= 10 = 18 θ 90 1 Δ V = V Sin = ωs Sin = 15 30 Δ V = cm/sec