If a body completes a vertical circle, then (a) total energy of body remains constant (b) angula

step 1 In this question it is given that a body completes a vertical circle then we have to tell that w

If a body completes a vertical circle, then (a) total energy...

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Key Concepts

Conservation of Mechanical Energy

This concept means that the total mechanical energy (the sum of kinetic and potential energy) remains constant in a system when only conservative forces are doing work. In vertical circular motion, even though the kinetic and potential energy components vary as the body moves through different heights, their sum remains unchanged provided there is no energy loss due to non-conservative forces like friction.

Angular Momentum Conservation

Angular momentum conservation refers to the idea that if no external torque is acting on a system, its angular momentum will remain constant over time. However, in vertical circular motion, external forces such as gravity can produce a net torque about a chosen axis, meaning that angular momentum with respect to that axis typically varies during the motion.

Angular Velocity Variability

Angular velocity describes how quickly an object rotates or changes its angular position. In scenarios like vertical circular motion, the angular speed is not constant because gravitational forces influence the tangential velocity of the object at different points along the path, causing it to speed up or slow down.

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