A uniform rod of length is hinged at one end

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A uniform rod of length LL is hinged at one end. A force FF is applied at the free end making an angle θ\theta with the rod. Which expression gives the magnitude of the lever arm of the force about the hinge? (a) Lsin⁡2θL \sin^{2}\theta (b) Lsin⁡θL \sin\theta (c) L2 sin⁡θ\dfrac{L}{2}\,\sin\theta (d) L (1−cos⁡θ)L\,(1-\cos\theta)

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