Find the acceleration of the block of mass `m` in the arrangement shown in the following figures. The masses of the pulleys and the threads, as well as the friction are assumed to be negligible.

Find the acceleration of the body of mass m_(2) in the arrangement shown in figure. If the mass m_(2) is eta time the mass m_(1) and the angle that the inclined plane forms with the horizontal is equal to theta . The masses of the pulley and threads, as well as the friction, are assumed to be negligible.

find the acceleration of the block of mass M in the situation shown in figure. All the surfaces are frictionless and the pulleys and the string are light.

find the acceleration of the block of mass M in the situation shown in figure. All the surfaces are frictionless and the pulleys and the string are light.

find the acceleration of the block of mass M in the situation shown in figure. All the surfaces are frictionless and the pulleys and the string are light.

Find the acceleration of the body of mass m_(2) in the arrangement shown in figure. If the mass m_(2) is eta time great as the mass m_(1) and the angle that the inclined plane forms with the horizontal is equal to theta . The masses of the pulley and threads, as well as the friction, are accumed to be negligible.

In the arrangement shown in the figure, the acceleration of the pulley is, (Ignore friction)

In the arrangement shown in the figure, the acceleration of the pulley is, (Ignore friction)

A pulley fixed to the ceiling of an elevator car carries a thread whose ends are attached to the loads of masses 3m and m . The car starts gong up with acceleration g//s . Assuming the masses of the pulley and the thread, as well as friction, to be negligible, find the force exerted by the pulley on the ceiling of car.

The following parameters of the arrangement of figure are available: the angle alpha which the inclined plane forms with the horizontal, and the coefficient of friction k between the body m_1 and the inclined plane. The masses of the pulley and the threads, as well as the friction in the pulley, are negligible. Assuming both bodies to be motionless at the initial moment, find the mass ratio m_2//m_1 at which the body m_2 (a) starts coming down, (b) starts going up, (c) is at rest.

Find the acceleration of the block of mass m. Assume pulleys are massless and frictionless.