On Slightly disturbing a body which is in an unstable equilibrium, its centre of gravity
rises
falls
remains constant
first rises then falls
The dimensional representation of moment of inertia is
[ML 2T0]
[ML -2T0]
[ML 2T-2]
[ML 0T0]
A man is sitting on a rotating table with his arms stretched outwards. When he suddenly folds his arms, his
angular velocity decreases
moment of inertia decreases
angular velocity remains constant
angular momentum increases
The total kinetic energy of a rolling solid sphere is (symbols have their usual meanings)
The moment of inertia of a hoop of radius R and mass M, about any tangent will be
3/2 MR2
1/2 MR2
MR2
1/4 MR2
When an explosive shell travelling along a parabolic path under gravity explodes, the centre of mass of the fragments will move
along a hyperbolic path
along the original parabolic path
vertically upwards and then vertically downwards
horizontally and then follows the parabolic path
O is the centre of an equilateral triangle ABC. F1, F2 and F3 are three forces actng along the sides AB, BC and AC as shown in figure. What should be the magnitude of F3, so that the total torque about O is zero?
(F1 - F2)
(F1 + F2)
2(F1 - F2)
A solid homogeneous sphere of mass M and radius R is moving on a rough horizontal surface, partly rolling and partly sliding. During this kind of motion of the sphere
total kinetic energy is conserved
the angular momentum of the sphere about the point of contact with the plane is conserved
only the rotational kinetic energy about the centre of mass is conserved.
angular momentum about the centre of mass is conserved
A mass M is moving with a constant velocity parallel to the x-axis. Its angular momentum with respect to the origin
is zero
goes on increasing
goes on decreasing
A hollow Cylinder and a solid Cylinder having the same mass and the same diameter are released simultaneously from rest from the top of an inclined plane. Which of them will reach the bottom first?
The solid Cylinder
The hollow Cylinder
Both will reach the bottom together
The one having the greater density
