Meriam, Kraige & Bolton — Plane Kinematics of Rigid Bodies: Problem 5_42

5/42 A variable-speed belt drive consists of the two pulleys, each of which is constructed of two cones which turn as a unit but are capable of being drawn together or separated so as to change the effective radius of the pulley. If the angular velocity \(\omega_1\) of pulley 1 is constant, determine the expression for the angular acceleration \(\alpha_2 = \dot{\omega}_2\) of pulley 2 in terms of the rates of change \(\dot{r}_1\) and \(\dot{r}_2\) of the effective radii.