Block A of wiehgt 100 N resta on a frictionless inclined plane of slope angle `30^@. A flexible cod attached to A passes over a frictionless pulley and is connected to block B of weight W. Find the weight W for which the system is in equilibrium.

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?

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 wire of mass 9.8*10^(-3) kg per metre passes over a friction less pulley fixed on the top of an inclined friction less plane which makes an angle of 30^@ with the horizontal. Masses M_(1) and M_(2) are tied at the two end of the wire. The mass M_(1) rests on the plane and the mass M_(2) hangs vertically downward. The whole system is in equilibrium. Now a transverse wave propagates along the wire with a velocity of 100ms^(-1) . Find the values of masses M_(1) and M_(2) . Take g= 9.8ms^(-2) .

A metal block of area 0.10 m^2 is connected to a 0.010 kg mass via a string that passes over an ideal pulley (considered massless and frictionless) as in fig.A liquid with a film thickness of 0.30 mm is placed between the block and the table.When released,the block moves ot the right with a constant speed of 00.085 m s^(-1) .Find the coefficient of viscosity of the liquid.

Two bodies of masses m_1 and m_2 are connected byh a ight string passing over a smooth light pulley fixed at the end of an inclined plane.the mass m_1 lies on the inclined plne nd m_2 bags vertically.The system is at rest.Find the angle of the inclination of the inclined plane and the force exerted by the inclined plane on the body of mass m_1 .

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.