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Rotation of a rigid body about a fixed axis Video Lecture | Basic Physics for IIT JAM
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FAQs on Rotation of a rigid body about a fixed axis Video Lecture - Basic Physics for IIT JAM
| 1. What is rotation of a rigid body about a fixed axis? |  |
Ans. Rotation of a rigid body about a fixed axis refers to the movement of the body in a circular path around an axis that remains fixed in space. The body rotates about this axis, with all points on the body moving in circles parallel to the axis.
| 2. How is angular velocity defined in the context of a rotating rigid body? | |
Ans. Angular velocity is a measure of how quickly a rotating rigid body is changing its angular position. It is defined as the change in angular displacement per unit of time. Mathematically, angular velocity (ω) can be calculated as the ratio of the change in angular displacement (Δθ) to the change in time (Δt), expressed as ω = Δθ/Δt.
| 3. What is the relationship between angular velocity and linear velocity in a rotating rigid body? | |
Ans. In a rotating rigid body, the linear velocity of any point on the body is directly proportional to the distance of that point from the axis of rotation and the angular velocity of the body. This relationship is given by the equation v = rω, where v is the linear velocity, r is the distance from the axis of rotation, and ω is the angular velocity.
| 4. How does the moment of inertia affect the rotation of a rigid body? | |
Ans. The moment of inertia of a rigid body is a measure of its resistance to changes in rotation. It depends on both the mass distribution of the body and the axis of rotation. A larger moment of inertia means that more torque is required to produce the same angular acceleration. Therefore, a higher moment of inertia leads to slower rotation, while a lower moment of inertia allows for faster rotation.
| 5. Can the rotation of a rigid body about a fixed axis change its angular momentum? | |
Ans. No, the rotation of a rigid body about a fixed axis does not change its angular momentum. According to the law of conservation of angular momentum, the total angular momentum of a system remains constant if no external torques act on it. Therefore, the angular momentum of a rotating rigid body about a fixed axis remains constant unless an external torque is applied.
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Dec 22, 2024 Last updated |
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