1
###
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

2
###
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

- (MR
^{2})/2 - MR
^{2} - (MR
^{2})/4 - 2MR
^{2}

3
###
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)
- ω
^{2}l^{2}/(2g) - ω
^{2}l^{2}/(6g) - ω
^{2}l^{2}/(3g)

4
###
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

5
###
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