Here is a set of carefully selected problems on Circular Motion for your practice. All the questions are objective type with single choice correct. The first 10 problems are based on

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1. A particle is moving in a circular path with steady speed. It has

*kinematics of circular motion*and the remaining are*circular dynamics*problems. We recommend you to first go through these solved illustrations before proceeding to solve the current set.- Kinematics of Circular Motion : Solved Illustrations
- Dynamics of Circular Motion : Solved illustrations

2. A wheel is initially at rest. Its angular velocity increases uniformly and reaches 80 rad/s in 5 seconds. The net angular displacement will be:

3. The second's hand of a watch is 6 cm long. The speed of end point and magnitude of difference of velocities at two perpendicular positions would be:

4. The magnitude of displacement of a particle moving along the circumference of a circle of radius r with constant angular velocity Ï‰ will vary with time t as

5. A particle moves in a circle of radius (20/Ï€)m with a constant tangential acceleration. If the particle is found to move with 80 m/s speed at the end of second revolution after motion has begun, the magnitude of tangential acceleration is:

6. If angular speed of a disc depends on angle rotated Î¸ as Ï‰ = Î¸² + 2Î¸, then the angular acceleration Î± at Î¸ = 1 rad is:

7. A particle moving with a constant speed of 5 m/s in a circle of radius 2m. The acceleration of the particle is:

8. The velocity of a body moving along a circle in the radial direction is

9. A particle is moving in a circular track. If the angular velocity, linear velocity, angular acceleration and normal acceleration of the particle at any instant, respectively, are

**Ï‰**,

**v**,

**Î±**and

**aâ‚™**then which of the following relation is NOT correct?

**Ï‰**⊥

**v**

**Ï‰**⊥

**Î±**

**Ï‰**⊥

**aâ‚™**

**v**⊥

**aâ‚™**

10. A particle is moving in a circular path with a speed of 1 m/s. This speed increases at a constant rate of 2 m/s every second. Assuming the radius of the circle described to be 25m, find total acceleration of the particle after 2 seconds.

11. A body moves along a circular track due to a centripetal force having constant magnitude is an example of motion with

12. If the radii of circular tracks of two bodies of same masses are in the ratio 1:2, then in order to have same radial force (or centripetal force), their speeds should be in the ratio of:

13. A particle is moving along a circular path:

14. The ratio of time period of oscillations of a conical pendulum to that of a simple pendulum is (assume the threads are of the same length in the two cases and Î¸ is the angle made by the thread with vertical in case of conical pendulum)

15. A uniform circular ring of linear mass density Î» and radius R is rotating with constant angular velocity Ï‰ about its own axis in a gravity free space. Tension in the rotating ring is:

16. A road is banked at an angle of 30Âº (from horizontal) for negotiating a curve of radius 10√3 m. At what velocity will a vehicle experience no friction while negotiating the curve.

17. A man stands on a rough (Î¼ = 0.5) horizontal disc rotating with angular velocity of 5 rad/s. At what distance from centre should he stand so that he does not slip?

18. Water in a bucket is whirled in a vertical circle with a thread attached to it. The water doesn't fall down even at the instant the bucket is inverted at the top of its trajectory. We conclude that:

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Problems in JEE Physics