일반물리학 1 — Rolling, Torque, and Angular Momentum: Problem 33

33 In Fig. 11-35, 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 \(\tau = dL/dt\).