Questions in rotational-motion

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A uniform solid cylinder of mass M and radius R rotates about a frictionless horizontal axle. Two similar masses suspended with the help two ropes wrapped around the cylinder. If the system is released from rest then the acceleration of each mass will be
In the above problem the angular velocity of the cylinder, after the masses fall down through distance h, will be
A metre scale is suspended vertically from a horizontal axis passing through one end of it. Its time period would be
A disc of radius R is made to oscillate about a horizontal axis passing through its periphery. Its time period would be
A solid cube of side l is made to oscillate about a horizontal axis passing through one of its edges. Its time period will be
The string of a simple pendulum is replaced by a uniform rod of length L and mass M. If the mass of the bob of the pendulum is m, then for small oscillations its time period would be (assume radius of bob r << L)

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