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Angular Analogue of Linear Momentum

A ring and a ...

Question

A ring and a disc of same radius and mass are lying on a frictionless surface at rest. The torque of equal magnitude is applied on both for same amount of time. Both the objects are free to rotate about their axis passing through their respective centres and perpendicular to the plane containing them. Which of the following quantities will remain unchanged for both objects?

A

Angular velocity

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B

Angular momentum

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C

Moment of Inertia

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D

Angular acceleration

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Solution

The correct option is B Angular momentum
When you apply same force for same duration on two different objects, the change in linear momentum is the same. Similar is the case with torque and angular momentum. The basic law i.e., Newton's second law is in action for both the cases.
If you are not able to connect to this idea fully, I'd suggest you to go through the last video again!

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Similar questions

Q. A ring and a disc of same radius and mass are lying on a frictionless surface at rest. The torque of equal magnitude is applied on both for same amount of time. Both the objects are free to rotate about their axis passing through their respective centres and perpendicular to the plane containing them. will be equal for both objects.

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Q. Find the ratio of moment of inertia of a ring and a disc about an axis passing through their center and perpendicular to their plane. Both ring and disc have the same mass and same radius.

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