(Solved): The mass \( m \) is at rest at the beginning of the motion when it is \( h \) above the surface of ...

The mass \( m \) is at rest at the beginning of the motion when it is \( h \) above the surface of \( M \). The friction in all of the surfaces and the weight of pulleys will be neglected in this question. (Two pulleys at the right hand side are fixed and the pulley at left hand side is moving with M during the motion.) Express the \( y \)-component of the acceleration of \( m a_{m y} \) in terms of \( m, M \) and \( g \). (a) \( 4 m g /(5 m+M) \) (b) \( 5 m g /(3 m+2 M) \) (c) \( 5 m g /(4 m+M) \) (d) \( 2 m g /(5 m+M) \) (e) \( 4 m g /(3 m+M) \)