The figure shows an overhead view of two assemblies: assembly A and assembly B.

Question

The figure shows an overhead view of two assemblies: assembly A and assembly B. Each assembly consists of a rod with two particles attached to it- Each rod has the same length and negligible mass A net force F_A and F_B is applied to assembles A and B. respectively. As a result, each assembly rotates about a perpendicular axis through the left end of the rod. The net torque on each assembly is the same. Which force has a greater magnitude? a. Force F_A b. Force F_B c. Both forces have the same magnitude

Explanation / Answer

Torque due to a force = magnitude of force × perpendicular distance of force from axis of rotation

Now in the question as the torque in both the cases is same but distance from axis of rotation is different, so the force which is applied at a smaller distance from axis of rotation will have greater magnitude. Thus force FA will have greater magnitude. So option will be (a).

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