Question

# The uniform thin rod in the figure below has mass M = 2.00 kg and length...

The uniform thin rod in the figure below has mass M = 2.00 kg and length L = 2.87 m and is free to rotate on a frictionless pin. At the instant the rod is released from rest in the horizontal position, find the magnitude of the rod's angular acceleration, the tangential acceleration of the rod's center of mass, and the tangential acceleration of the rod's free end.

HINT

An illustration shows the horizontal initial position and vertical final position of a uniform rod free to rotate in a vertical plane around a pin passing through its left end. The rod has mass M, length L, and its pivot point is labeled "O." Another point, at the center of the rod, is labeled "CG" and shown to be a distance L/2 from pivot point O.

(a)

the rod's angular acceleration (in rad/s2)

(b)

the tangential acceleration of the rod's center of mass (in m/s2)

m/s2

(c)

the tangential acceleration of the rod's free end (in m/s2)

m/s2