The mechanism drawn consists of a point mass m connected to a hinge in a fixed point A by means of an ideal rod of length L. This point mass also simultaneously slides in a vertical slot A of a block M, which in turn can slide in a horizontal guide. If m has an absolute velocity Um with the rod turning clockwise, calculate, as a function of the three parameters L, M and a: Part A. The angle between Um and the z-axis (taken counterclockwise as positive) 0- 8 sin (a) C Part B The velocity M of M (taken positive to the right) "M= E m M L