Work Done by Torque from a Central Force
A particle of mass m moves in a circular path of radius r under the influence of a central force. As the particle moves through an angle φ, the magnitude of the force changes from F₁ to F₂. What is the work done by the torque exerted by this force during this angular displacement?
A
0
B
r(F₂-F₁)φ
C
½r(F₂+F₁)φ
D
mr²ω²φ/2
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