An arrangement of spring, strings, pulley and masses is shown in the figure below. The pulley and the strings are massless and M m . The spring is light with spring constant k . If the string connecting m to the ground is detached, then immediately after detachment

Question

An arrangement of spring, strings, pulley and masses is shown in the figure below. The pulley and the strings are massless and M > m . The spring is light with spring constant k . If the string connecting m to the ground is detached, then immediately after detachment, the magnitude of the acceleration of m is zero and that of M is g, the magnitude of the acceleration of m is M - m g / m and that of M is zero, the accelerations of both masses are same, the elongation in the spring is M - m g / k

MARKS App · Accepted Answer

At t = 0 , T = m g When string is cut, mass M remains static and spring snaps. For mass m at the instant string is cut, forces on m are Acceleration of m is upwards as spring snaps, a m = F net m = M g - m g m = M - m m g

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