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1.
A block of mass 
is in contact with the cart 
as shown in the figure
The coefficient of static friction between the block and the cart is
. The acceleration 
of the cart that will prevent the block from falling satisfies
is in contact with the cart as shown in the figureThe coefficient of static friction between the block and the cart is
. The acceleration of the cart that will prevent the block from falling satisfies
2.
A block of mass 
kg resting on a horizontal surface. A force 
is applied on the block as shown in figure. If coefficient of friction between the block be 
, what can be the maximum value of force so that block does not start moving? (Take 
)
kg resting on a horizontal surface. A force is applied on the block as shown in figure. If coefficient of friction between the block be , what can be the maximum value of force so that block does not start moving? (Take )
3.
A pendulum bob of mass 
is suspended from the ceiling of an elevator. The tension in the string if the elevator goes up with uniform velocity is approximately
is suspended from the ceiling of an elevator. The tension in the string if the elevator goes up with uniform velocity is approximately
4.
The variation of momentum with time of one of the body in a two body collision is shown in fig. The instantaneous force is maximum corresponding to point
5.
A 
stone is suspended with a rope of breaking strength 
. The minimum time in which the stone can be raised through a height 
starting from rest is ( taking 
stone is suspended with a rope of breaking strength . The minimum time in which the stone can be raised through a height starting from rest is ( taking
6.
A man is standing on a balance and his weight is measured. If he takes a step in the left side, then weight
7.
A wagon weighing 
is moving with a velocity 
on smooth horizontal rails. A mass of 
is dropped into it. The velocity with which it moves now is
is moving with a velocity on smooth horizontal rails. A mass of is dropped into it. The velocity with which it moves now is
8.
Force required to move a mass of 1 kg at rest on a horizontal rough plane 
and 
is
and is
9.
A block of base 
and height 
is kept on an inclined plane. The coefficient of friction between them is . The inclination 
of this inclined plane from the horizontal plane is gradually increased from 
. Then
and height is kept on an inclined plane. The coefficient of friction between them is . The inclination of this inclined plane from the horizontal plane is gradually increased from . Then
10.
A particle moves in the X-Y plane under the influence of a force such that its linear momentum is 
where A and 
are constant. The angle between the force and the momentum is
where A and are constant. The angle between the force and the momentum is