A boy suddenly comes and sits on a circular rotating table. What will ...
As net torque applied is zero. Hence,


, L = constant.
L (angular momentum) remains conserved.
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A boy suddenly comes and sits on a circular rotating table. What will ...
Angular Momentum Conservation:
Angular momentum is a vector quantity defined as the product of an object's moment of inertia and its angular velocity. When the boy sits on the rotating table, the total angular momentum of the system remains conserved.
Explanation:
- Initial State: Before the boy sits on the table, the system consists of the table rotating at a certain angular velocity.
- Final State: When the boy sits on the table, the moment of inertia of the system changes due to the redistribution of mass. As a result, the angular velocity of the system changes to conserve the total angular momentum.
- Conservation of Angular Momentum: According to the law of conservation of angular momentum, the total angular momentum of an isolated system remains constant if no external torque acts on it. In this case, the external torque acting on the system is negligible, so the total angular momentum remains conserved.
Conclusion:
In this scenario, the angular momentum of the system remains conserved when the boy suddenly sits on the rotating table. This conservation principle helps us understand the behavior of rotating systems and the interactions between different components in such systems.