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qUESTIONS

1.Rotational Dynamics

When the bob of mass M moves in a horizontal circle of radius R with uniform speed v, having length of string L describes a cone of semi vertical angle Theta. The centripetal force acting on the bob is given by

1.Rotational Dynamics

A solid sphere of mass ‘M’ and radius ‘R’ is rotating about its diameter. A solid cylinder of same mass and same radius is also rotating about its geometrical axis with an angular speed twice that of the sphere. The ratio of their kinetic energies of rotation ( K sphere to K cylinder ) will be:

1.Rotational Dynamics

A solid sphere of radius R has mass M, the moment of inertia of a solid sphere about an axis at a distance R/2 from the centre is

1.Rotational Dynamics

An iron rod of mass M and length L is cut into n equal parts by cutting it perpendicular to its length. If I is the M.I. of the rod, about an axis passing through its centre and perpendicular to its axis, then the moment of inertia of each part about the similar axis is

1.Rotational Dynamics

A particle performing UCM of radius pi/2 m, makes x revolutions in time t, it’s tangential velocity is

1.Rotational Dynamics

A string of length L is fixed at one end and carries a mass M at the other end. The string makes 2/π revolution per second around the vertical axis through the fixed end as shown in the figure, then tension in the string is.

1.Rotational Dynamics

The moment of inertia of a thin uniform rod rotating about the perpendicular axis passing through one end is ‘I’. The same rod is bent into a ring and its moment of inertia about the diameter is I1. The ratio I:I1 is

1.Rotational Dynamics

A solid sphere P and a thin walled hollow sphere q have same mass and same radius. If the moment of inertia about the diameters are IP and IQ respectively, then,

1.Rotational Dynamics

A disc has mass ‘M’ and radius ‘R’. How much tangential force should be applied to the rim of the disc, so as to rotate with angular velocity ‘ω’ in time ‘t’ ?

1.Rotational Dynamics

A ring of moment of inertia 4.9/(pi)^2 kgm^2 is rotating with 300 rpm. If the frequency of rotation is reduced by 120 rpm, then the work done is

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