1.
A disc of moment of inertia 5 kg- is acted upon by a constant torque of 40 Nm. Starting from rest the time taken by it to acquire an angular velocity of 24 is
2.
A round disc of moment of inertia about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia rotating with an angular velocity about the same axis. The final angular velocity of the combination of discs is
3.
The radius of a rotating disc is suddenly reduced to half without any change in its mass. Then its angular velocity will be
4.
A non-uniform thin rod of length is placed along -axis as such its one of ends is at the origin. The linear mass density of rod is . The distance of centre of mass of rod from the origin is
5.
In the given figure four identical spheres of equal mass are suspended by wires of equal length , so that all spheres are almost touching to each other. If the sphere 1 is released from the horizontal position and all collisions are elastic, the velocity of sphere 4 just after collision is
6.
A circular turn table has a block of ice placed at its centre. The system rotates with an angular speed about an axis passing through the centre of the table. If the ice melts on its own without any evaporation, the speed of rotation of the system
7.
A loded spring gun of mass fires a shot of mass with a velocity at an angle of elevation . The gun was initially at rest on a horizontal frictionless surface. After firing, the centre of mass of gun-shot system
8.
is a triangular plate of uniform thickness. The sides are in the ratio shown in the figure. are the moments of inertia of the plate about respectively. Which one of the following relations is correct
9.
A long rod has a mass of . What is the moment of inertia about an axis passing through the centre and perpendicular to the length of rod
10.
Two rigid bodies and rotate with rotational kinetic energies and respectively. The moments of inertia of and about the axis of rotation are and respectively. If and the ratio of angular momentum of to the angular momentum of is