In the fig, find the acceleration of `m_(1) and m_(2)`

In the fig, find the acceleration of mass m_(2) .

Three blocks arranged with pullwy and spring as shown in fig. If the string connecting blocks m_(2) and m_(3) is cut at point A, find the acceleration of masses m_(1), m_(2) and m_(3) . Just after the string is cut at point A.

A situation is shown in figure-2.15, Find the acceleration of masses m_(1) abd m_(2) mass of pulley is m_(P) . Consider the string going over the pulley is massless and frictionless.

If the pulley is massles and moves with an upward acceleration a_(0) . Find the acceleration of (m_1)and (m_2) w.r.t to elevator.

Find the acceleration of masses m_(1) and m_(2) moving down the smooth incline plane. The string and the pulley are masseless and frictionless.

Two blocks of masses m_(1) and m_(2) are connected by massless threads. The pulleys are massless and smooth if a_(1) is the magnitude value of acceleration of m_(1) and a_(2) is the magnitude value of acceleration of m_(2) find the ratio of a_(1)/a_(2)

Find the acceleration of masses m_(1) and m_(2) connected by an inextensible string, shown in figure-2.13(a). The string and pulley are assumed to be massless and frictionless.

In the system shown in fig., all pulleys are mass less and the string is inextensible and light. (a) After the system is released, find the acceleration of mass m_(1) (b) If m_(1) = 1 kg, m_(2) = 2 kg "and" m_(3) = 3 kg then what must be value of mass m_(4) so that it accelerates downwards?

A pulley-rope-mass arrangement is shown in fig. Find the acceleration of block m_(1) when the masses are set free to move. Assume that the pulley and the ropes are ideal.