Race of Rollers
Trending Questions
Q. A thin uniform circular ring is rolling down an inclined plane of inclination 30∘ without slipping. Its linear acceleration along the inclined plane will be
- g2
- g3
- g4
- g5
Q. The figure shows a system consisting of (i) a ring of outer radius 3R rolling clockwise without slipping on a horizontal surface with angular speed ω and (ii) an inner disc of radius 2R rotating anti-clockwise with angular speed ω/2. The ring and disc are separated by frictionless ball bearings. The system is in the x-z plane. The point P on the inner disc is at distance R from the origin, where OP makes an angle of 30o with the horizontal. Then with respect to the horizontal surface,
- The point O has a linear velocity 3Rω^i
- The point P has a linear velocity 114Rω^i+√34Rω^k
- The point P has a linear velocity 134Rω^i+√34Rω^k
- The point P has a linear velocity (3−√34)Rω^i+14Rω^k
Q. A sphere of mall 5 kg rolls without slipping on an inclined plane of inclination 30∘. Choose the correct statement(s).
- Force of friction acting on sphere is 5g7.
- Linear acceleration of sphere down the plane is 5g14.
- For pure rolling, μ>0.165.
- None of these
Q. When a uniform solid sphere and a disc of the same mass and of the same radius rolls down without slipping on an inclined plane from rest to the same distance along the inclined plane, then the ratio of the time taken by solid sphere and the disc to cover the distance is
- 15:14
- 152:142
- √14:√15
- 14:15
Q. A hollow metal sphere of radius 5 cm is charged such that the potential on the surface is 10 V. The potential at the centre of the sphere is
- 0 V
- −5 V
- 10 V
- 10 V5 V