Test: Force & Newton's Laws of Motion - 2 - ACT MCQ

In the adjoining figure, the tension in the string connecting A and B is

In the system shown in the adjoining figure, the acceleration of the 1 kg mass is 

Two masses M₁ and M₂ are attached to the ends of a string which passes over a pulley attached to the top of a double inclined plane of angles of inclination α and β If M₂ > M₁, the acceleration ‘a’ of the system is given by 

Three masses of 1 kg, 6 kg and 3 kg are connected to each other with threads and are placed on a table a as shown in the figure. What is the acceleration with which the system is moving  (Take g = 10 m/s²)

The pulley arrangements shown in figure are identical, the mass of the rope being negligible. In case I, the mass m is lifted by attaching a mass 2m to the other end of the rope. In case II, the mass m is lifted by pulling the other end of the rope with a constant downward force, F = 2 mg, where g is acceleration due to gravity. The acceleration of mass m in case I is

In the pulley-block arrangement shown in figure. Find the relation between acceleration of block A and B. 

Two masses of 1 kg and 5 kg are attached to the ends of a massless string passing over a pulley of negligible weight. The pulley itself is attached to a light spring balance as shown in the figure. The masses start moving during this interval, the reading of spring balance will be 

Two bodies of mass 4 kg and 6 kg are attached to the ends of a string passing over a pulley. A 4 kg mass is attached to the table top by another string. The tension in this string T₁ is equal to (g = 10 m/s²)  

Two bodies of mass 6 kg and 4 kg are tied to a string as shown in the adjoining figure. If the table is smooth and pulley frictionless, then acceleration of mass 6 kg will be (g = 10 m/s²) 

Two masses of 8 kg and 4 kg are connected by a string as shown in the figure over a frictionless pulley. The acceleration of the system is

A trolley T of mass 5 kg on a horizontal smooth surface is pulled by a load of 2 kg through a uniform rope ABC of length 2 m and mass 1 kg. As the load falls from BC = 0 to BC = 2 m, its acceleration (in m/s²) changes from

Two wooden blocks are moving on a smooth horizontal surface such that the mass m remains stationary with respect to block of mass M as shown in figure. The magnitude of force P is 

A block sliding along inclined plane as shown in figure. If the acceleration of chamber is ‘a’ as shown in the figure. The time required to cover a distance L along inclined plane is 

A block of mass 4 kg is suspended through two light spring balances A and B. Then A and B will read respectively  

A light string fixed at one end to a clamp on ground passes over a fixed pulley and hangs at the other side. It makes an angle of 30^o with the ground. A monkey of mass 5 kg climbs up the rope. The clamp can tolerate a vertical force of 40 N only. The maximum acceleration in upward direction with which the monkey can climb safely is (neglect friction and take g = 10 m/s²)

If the normal reactional force is doubled, the coefficient of friction is  

The force acting on the block pushes it, then pushing of the block will be possible along the surface, if 

An object is placed on the surface of a smooth inclined plane of inclination θ It takes time ‘t’ to reach he bottom. If the same object is allowed to slide down a rough inclined plane of inclination θ it takes time nt to reach the bottom where n is a number greater than 1. The coefficient of friction μ  is given by

The frictional force between two surfaces is independent of

A body of mass 2 kg rests on a rough inclined plane making an angle 30^o with the horizontal. The coefficient of static friction between the block and the plane is 0.7. The frictional force on the block is

A man walks over a rough surface, the angle between the force of friction and the instantaneous velocity of the person is  

A heavy block of mass M is slowly placed on a conveyor belt moving with a speed v. The coefficient of friction between the block and the belt is μ. Through what distance will the block slide on the belt?

A uniform rope of length l lies on a table. If the coefficient of friction is m, then the maximum length l₁of the part of this rope which can overhang from the edge of the table without sliding down is 

A body is moving with uniform velocity of 2 m/s on a rough level surface. The frictional force on it is 10 N. If the body moves with velocity 4 m/s, the force of friction will be 

The coefficient of static friction μ  between block A of mass 2kg and the table as shown in the figure is 0.2. What would be the maximum mass value of block B so that the two blocks do not move? The string and the pulley are assumed to be smooth and massless (g = 10 m/s²) 

At any instant if the velocity of point A is 10 m/s then calculate the velocity of point B?

Frictional force acting on the block is