A rigid body experiences a torque such that for every angular position

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

Problem

A rigid body experiences a torque τ(θ)\tau(\theta) such that τ(−θ)=−τ(θ)\tau(-\theta)=-\tau(\theta) for every angular position θ\theta. The body is rotated quasistatically from θ=−0.80 rad\theta=-0.80\,\text{rad} to θ=+0.80 rad\theta=+0.80\,\text{rad}. Describe whether the net work done by the torque during this motion is positive, negative, or zero, and briefly explain your reasoning.

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