A mechanic uses a spanner of length to loosen a nut by applying a constant force of

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

A mechanic uses a spanner of length 0.25 m0.25\,\text{m} to loosen a nut by applying a constant force of 90 N90\,\text{N}. The direction of the force can be varied in the plane of the spanner. (a) Find the angle between the applied force and the spanner at which the torque on the nut becomes maximum. (b) Calculate the maximum torque obtained. (c) Determine the torque when the same force is applied at an angle of 60∘60^{\circ} to the spanner and express it as a percentage of the maximum value found in part (b).

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