A uniform rod of mass M = 0.245kg and length L = 0.49m stands vertically on a horizontal table. It is released from rest to fall.

Question

(a) Calculate the angular speed of the rod, the vertical acceleration of the moving end of the rod, and the normal force exerted by the table on the rod as it makes an angle θ = 48.8° with respect to the vertical.

(b) If the rod falls onto the table without slipping, find the linear acceleration of the end point of the rod when it hits the table.

Please help, Thanks!

Answer 1

√3q/l