Question

A particle of mass m1 lies on a smooth horizontal table and it is connected to a freely hanging particle of mass m2 by a large inextensible string passing over a smooth fixed pulley situated at the edge of the table. Initially the system is at rest with mass m1 at a distance D from the end of the table. Obtain the expression for the time taken to reach the end of the table

Answer 1

$$d=0.5at^2$$

$$m_2g=(m_1+m_2)a$$

$$t=\sqrt{\frac{2m_2d}{(m_1+m_2)g}}$$