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qUESTIONS

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

1.Rotational Dynamics

Four identical solid spheres each of mass and radius are placed with their centers on the four corners of a square of side. The moment of inertia of the system about one side of square where the axis of rotation is parallel to the plane of the square is:

1.Rotational Dynamics

A rope of negligible mass is wound round a hollow cylinder of mass 2kg and radius 20cm. What is the angular acceleration of the cylinder, if the rope is pulled with a force of 2N.

1.Rotational Dynamics

A stone of mass m is tied to a string and is moved in a vertical circle of radius r making n revolution per minute. The total tension in the string when the stone is its lowest point is.

1.Rotational Dynamics

Two bodies of masses m and 3m are rotating in horizontal circles of radius r and r/3 respectively. The tangential speed of body of mass m is n times that of the value of the heavier body; while the centripetal force is same for both. The value of n is

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