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1.
A mass of 6 kg is suspended by a rope of length 2 m from a ceiling. A force of 50 N is applied in the horizontal direction at the mid-point of the rope. The angel made by the rope, with the vertical, in equilibrium position will be (take 
neglect the mass of the rope)
neglect the mass of the rope)
2.
The average force necessary to stop a bullet of mass 
moving with a speed of 
, as it penetrates into the wood for a distance of 
is
moving with a speed of , as it penetrates into the wood for a distance of is
3.
A block 
is pushed momentarily along a horizontal surface with an initial velocity 
. If 
is the coefficient of sliding friction between and the surface, block will come to rest after a time
is pushed momentarily along a horizontal surface with an initial velocity . If is the coefficient of sliding friction between and the surface, block will come to rest after a time
4.
A body is coming with a velocity of 
on a rough horizontal surface of coefficient of friction 0.5. If the acceleration due to gravity is 
, find the minimum distance it can be stopped
on a rough horizontal surface of coefficient of friction 0.5. If the acceleration due to gravity is , find the minimum distance it can be stopped
5.
A vessel containing water is given a constant acceleration 
towards the right, along a straight horizontal path. Which of the following diagram represents the surface of the liquid
towards the right, along a straight horizontal path. Which of the following diagram represents the surface of the liquid
6.
Two masses 
and 
are connected by a light inextensible string and suspended by means of a weightless pulley as shown in figure.
Assuming that both the masses start from rest, the distance travelled by the centre of mass in 2 s is
and are connected by a light inextensible string and suspended by means of a weightless pulley as shown in figure.Assuming that both the masses start from rest, the distance travelled by the centre of mass in 2 s is
7.
In the arrangement shown in figure, if a force 
is applied at the free end of the rope, the mass 
will ascend with an acceleration of
is applied at the free end of the rope, the mass will ascend with an acceleration of
8.
The coefficient of kinetic friction between a 20 kg box and the floor is 0.40. How much work does a pulling force do on the box in pulling it 8.0 m across the floor at constant speed? The pulling force is directed 37
above the horizontal
above the horizontal
9.
A man weighs 
. He stands on a weighing scale in a lift which is moving upwards with a uniform acceleration of 
. What would be the reading on the scale. 
. He stands on a weighing scale in a lift which is moving upwards with a uniform acceleration of . What would be the reading on the scale.
10.
A lift is moving down with acceleration
. A man in the lift drops a ball inside the lift. The acceleration of the ball as observed by the man in the lift and a man standing stationary on the ground are respectively
. A man in the lift drops a ball inside the lift. The acceleration of the ball as observed by the man in the lift and a man standing stationary on the ground are respectively