Arod of length l is pivoted about its left end and has a force f applied perpendicular to the other end. the force f is now removed and another force f' is applied at the midpoint of the rod. if f' is at an angle of 30° with respect to the rod, what is its magnitude of the resultant torque is the same as when f was applied

Explanation:

When force applied to the end of the rod in perpendicular direction then net torque on the rod is given as

Now another force is applied at mid point of the rod at an angle of 30 degree with the rod

so new value of torque is given as

so we have

the answer would be 32*f

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