A mass M is dropped from a height H onto one end of a stick of mass M, length L, pivoted about the opposite end. Ăssume the moment of inertia of the stick about the pivot is ML. Upon collision, the mass adheres to the stick. Respond to the following in terms of M, L, H, and g. (a) Find the speed of the mass just before impact. (b) Find the angular speed of the system immediately after impact. (c) Find the linear speed of the mass M at its lowest point. (d) Determine the mechanical energy lost as a result of the collision.

A mass M is dropped from a height H onto one end of a stick of mass M, length L, pivoted about the opposite end. Ăssume the moment of inertia of the stick about the pivot is ML. Upon collision, the mass adheres to the stick. Respond to the following in terms of M, L, H, and g. (a) Find the speed of the mass just before impact. (b) Find the angular speed of the system immediately after impact. (c) Find the linear speed of the mass M at its lowest point. (d) Determine the mechanical energy lost as a result of the collision.