A mass of 4 kg rests on a horizontal plane. The plane is gradually inclined at an angle `theta = 15^@` with the horizontal, the mass just begins to slide. What is the coefficient of static friction between the block and the surface?

Figure 5.18 shows a man standing stationary with respect to a horizontal conveyor belt that is accelerating with 1 m s^-2 . What is the net force on the man? If the coefficient of static friction between the man’s shoes and the belt is 0.2, up to what acceleration of the belt can the man continue to be stationary relative to the belt ? (Mass of the man = 65 kg.)

Mass m_1 moves on a slope making an angle theta with the horizontal and is attached to mass m_2 by a string passing over a frictionless pulley as shown in the figre. The co-efficient of frition between m_1 and the slopping surfaace is mu . Which of the following statements are true?

When a body slides down from rest along a smooth inclined plane making anangle of 45^@ with the horizontal, it takes time T. when the same body slides down from rest along a rough inclined plane making the same angle and through the same distance, it is seen to take time pT, where p is some number greater than 1. Calculate the co-efficient of friction between the body and the rough plane.

In the figure, a body A of mass m slides on plane inclined at angle theta_1 to the horizontal and mu_1 is the coefficient of friction between A and the plane. A is connected by a light string passing over a fictionless pulley to another body B, also of mass m, sliding on a frictionless plane inclined at angle theta_2 to the horizontal which of the following statements are true ?

A block of mass 1 kg is pushed up a surface inclined to horizontal at ang angle of 30^@ by a force of 10 N parallel to the inclined surface in the figure. shows . The coefficient of friction between bock and the incline is 0.1. If the block is pushed up by 10 m along the incline, calculate work done against force of friction

A block of mass 1 kg is pushed up a surface inclined to horizontal at ang angle of 30^@ by a force of 10 N parallel to the inclined surface in the figure. shows . The coefficient of friction between bock and the incline is 0.1. If the block is pushed up by 10 m along the incline, calculate increase in potential energy

A block of mass 1 kg is pushed up a surface inclined to horizontal at ang angle of 30^@ by a force of 10 N parallel to the inclined surface in the figure. shows . The coefficient of friction between bock and the incline is 0.1. If the block is pushed up by 10 m along the incline, calculate work done by applied force.

A block of mass 1 kg is pushed up a surface inclined to horizontal at ang angle of 30^@ by a force of 10 N parallel to the inclined surface in the figure. shows . The coefficient of friction between bock and the incline is 0.1. If the block is pushed up by 10 m along the incline, calculate work done against gravity

The triangular block is moving on a frictionless surface with 3 m//s^2 towards right such that the mass m does not slide on the tiangular block.Find the coefficient of friction between mass m and the block. .

A 1 kg block situated on a rough incline is connected to a spring of spring constant 100N m^-1 as shown in Fig. 6.17. The block is released from rest with the spring in the unstretched position. The block moves 10 cm down the incline before coming to rest. Find the coefficient of friction between the block and the incline. Assume that the spring has a negligible mass and the pulley is frictionless.