Rotational Motion
A particle performing uniform circular motion has angular momentum
A particle performing uniform circular motion has angular momentum L. If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum is
- L/4
- 4L
- L/2
- 2L
Moment of inertia of a circular wire of mass M and radius R
Moment of inertia of a circular wire of mass M and radius R about its diameter is
- (MR2)/2
- MR2
- (MR2)/4
- 2MR2
A thin uniform rod of length l and mass m is swinging
A thin uniform rod of length l and mass m is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is ω. Its centre of mass rises to a maximum height of
- ωl/(6g)
- ω2l2/(2g)
- ω2l2/(6g)
- ω2l2/(3g)
A mass ‘m’ is supported by a massless string wound around a uniform
A mass ‘m’ is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall on release?
- g
- 5g/6
- g/2
- 2g/3
A uniform solid cylindrical roller of mass m is being pulled on a horizontal surface with force
A uniform solid cylindrical roller of mass m is being pulled on a horizontal surface with force F parallel to the surface and applied at its centre. If the acceleration of the cylinder is a and it is rolling without slipping then the value of F is:
- ma
- 2 ma
- 3/2 ma
- 5/3 ma