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Answer :
Final answer:
The equilibrium of the pole is maintained by the interplay of tension in the rope, torque, gravity, and friction at the support, and is achieved when net force and net torque are zero.
Explanation:
The equilibrium of the uniform pole is controlled by a combination of factors, including tension in the rope, torque, gravity, and friction at the support. The tension in the rope creates an upward force that helps to support the weight of the pole. Torque arises due to forces applied at a distance from the pivot point, and for equilibrium, the net torque must be zero. Gravity acts downwards through the center of gravity of the pole and tries to rotate it about the support point. Friction at the support point prevents sliding and contributes to the pole's stability. The pole remains in equilibrium only when the net force and net torque on it are zero, as in the example where the forces exerted by the pole vaulter's hands are symmetrical about the pole's center of gravity.
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