A door rotates about a vertical -axis passing through its hinges

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

Problem

A door rotates about a vertical zz-axis passing through its hinges. At one instant the net torque acting on the door is τ=4 ı^+3 ȷ^+0 k^  N⋅m\boldsymbol{\tau} = 4\,\hat\imath + 3\,\hat\jmath + 0\,\hat k\;\text{N}\cdot\text{m}. If the door turns through 90∘90^{\circ} about the zz-axis during this interval, determine the work done on the door by the torque.

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