In Fig. 10-73, a particle of mass m is released from rest at point A, at distance b from the origin, and falls parallel to a vertical y axis. As a function of time t and with respect to the origin, find the magnitudes of (a) the torque `tau` on the particle due to the gravitational force and (b) the angular momentum L of the particle. ( c) From those results, verify that `tau=dL//dt`.

Explanation

(a) mgb, (b) mgbt, ( c) mgb = `tau`