Question

A rod is pivoted about one end. Two forces →Fand−→F are applied to it. Under what circumstances will the rod not rotate?

a) Equal magnitudes, opposite directions.
b) Equal magnitudes, same direction.
c) Different magnitudes, opposite directions.
d) Different magnitudes, same direction.

Answer 1

A rod pivoted at one end remains stationary when two forces of equal magnitude but opposite direction are applied to it, balancing the torques and creating no net rotation.

Step-by-step explanation:

When a rod is pivoted about one end and exposed to two opposing forces, it will not rotate under the circumstance where the forces have equal magnitudes but opposite directions. This represents a state of equilibrium, where the torques exerted by the forces counterbalance each other. If the magnitudes of the forces are equal and their directions are opposite, their torques will be equal and opposite as well, resulting in no net torque and therefore no rotation of the rod.