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 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 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.

Find the acceleration of the prism of mass M and that of the bar of mass m shown in figure.

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.

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 accelerations of rod A and wedge B in the arrangement shown in figure if the ratio of the mass of the wedge to that of the rod equals eta , and the friction between all contact surfaces is negligible.

In the arrangement shown in figure the masses m of the bar and M of the wedge, as well as the wedge angle alpha , are known. The masses of the pulley and the thread are negligible. The friction is absent. Find the acceleration of the wedge M.

In the arrangement shown in the figure, the blocks have masses 3m,m and 2m , the friction is absent, the masses of the pulleys and the threads are negligible. Find the acceleration of mass 3m .

In terms of masses m_(1),m_(2) and g, find the acceleration of both the blocks shown in Fig. Neglect all friction and masses of the pulley.

In the arrangement shown in fig the bodies have masses m_(0), m_(1) and m_(2) the friction is absent the masses of pulleys and the threads are negligible find the acceleration of the body m_(1)