The speed of a homogeneous solid aphere after rolling down an inclined plane of vertical height h from rest without sliding is
A mass M is moving with a constant velocity parallel to the x-axis. Its angular momentum with respect to the origin
is zero
remains constant
goes on increasing
goes on decreasing
A turn -table of mass 1 kg and 34 cm in diameter is rotating about an axis passing through its centre and perpendicular to its plane and is making 45 r.p.m. what is its K.E.?
3.21 J
0.32J
0.61 J
None of these
In a rectangle ABCD (BC = 2AB). The moment of inertia is minimum alog axis through
BC
BD
HF
EG
A stone attached to one end of a string is revolved around a stick so that string winds on the stick and gets shortened what is conserved?
Angular momentum
Kinetic energy
Linear momentum
None of the above
At any instant, a rolling body may be considered to be in pure rotation about an axis through the point of contact. This axis is translating forward with speed
equal to centre of mass
zero
twice of centre of mass
Data is insufficient
The moment of inertia of a straight thin rod of mass M and length L about an axis perpendicular to its length and passing through its end is
ML2
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 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
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
