Write equations of forces in terms of the relative acceleration for the blocks shown in and find the relation between m and M so that system remains at rest

Find the contact force between the block and acceleration of the blocks as shown in figure.

A block of mass m is placed on a smooth inclined wedge ABC of inclination theta as shown in the figure. The wedge is given an acceleration a towards the right. The relation between a and theta for the block to remain stationary on the wedge is.

A block of mass m is placed on a smooth inclined wedge ABC of inclination theta as shown in the figure. The wedge is given an acceleration a towards the right. The relation between a and theta for the block to remain stationary on the wedge is

Two blocks of equal mass, M each, are connected to two ends of a massless string passing over a massless pulley. On one side of the string there is a bead of mass (M)/(2) . (a) When the system is released from rest the bead continues to remain at rest while the two blocks accelerate. Find the acceleration of the blocks. (b) Find the acceleration of the two blocks if it was observed that the bead was sliding down with a constant velocity relative to the string.

Two blocks (m and M) are arranged as in figure Then is friction between ground and M only and other surface are frictionless between ground and M is mu = 0.25 The maximum ratio of m and M(m//M) so that the system remain is at rest

Two blocks (m and M) are arranged as in figure Then is friction between ground and M only and other surface are frictionless between ground and M is mu = 0.25 The maximum ratio of m and M(m//M) so that the system remain is at rest

The system shown in figure starts from rest, and each block moves with a constant acceleration. If the relative acceleration of block C with respect to block B is 6m//s^(2) upward and the relative acceleration of block D with respect to block C after 3s from starts.

Find the relation between acceleration of the two blocks m_(1) and m_(2) . Assume pulleys are massless and frictionless and the strings are inextensible .

Find the relation between acceleration of the two blocks m_(1) and m_(2) . Assume pulleys are massless and frictionless and the strings are inextensible .

The fricition coefficient between the table and block shown in fig. is 0.2 find the acceleration of the system (Take g=10 m//s^(2) )