Which expression gives the total work done on a rigid body when three constant torques ,

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems

Problem

Which expression gives the total work done on a rigid body when three constant torques

\tau_1

\tau_2

, and

\tau_3

act simultaneously while the body undergoes an angular displacement

\Delta\theta

? (a)

W = \dfrac{\tau_1 + \tau_2 + \tau_3}{3}\,\Delta\theta

(b)

W = \sqrt{\tau_1^{2}+\tau_2^{2}+\tau_3^{2}}\,\Delta\theta

(c)

W = (\tau_1 + \tau_2 + \tau_3)\,\Delta\theta

(d)

W = \tau_1\,\Delta\theta + \tau_2\,\Delta\theta