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A rod on a horizontal tabletop is pivoted at one end and is free to rotate without friction about a vertical axis, as shown. A force F is applied at the other end, at an angle θ to the rod. If F were to be applied perpendicular to the rod, at what distance from the axis should it be applied in order to produce the same torque?

(A) L sin θ

(B) L cos θ

(C) L

(D) L tan θ 

(E) √2 L

1 Answer

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Best answer

Correct option (A) L sinθ   

Finding the torque in the current configuration we have: 

(Fsinθ)(L) = FL sinθ. 

To get the same torque with F applied perpendicular we would have to change the L to get F (Lsinθ)

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