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A rigid body is rotating about an axis. ...

A rigid body is rotating about an axis. The best way to stop it is applying

A

pressure at the turning point.

B

upward force at the turning point.

C

downward force at the free end.

D

torque in opposite direction.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of stopping a rigid body that is rotating about an axis, we need to understand the concept of torque and how it affects rotational motion. Here’s a step-by-step solution: ### Step 1: Understand the Motion of the Rigid Body The rigid body is rotating about a fixed axis. This means that all points in the body are moving in circular paths around that axis. **Hint:** Identify the direction of rotation to understand how to counteract it. ### Step 2: Identify the Forces Acting on the Body When a rigid body is rotating, it experiences angular momentum. To stop the rotation, we need to apply a force that can change this angular momentum. **Hint:** Consider how forces can create torque, which is necessary to change the rotational motion. ### Step 3: Apply Torque in the Opposite Direction To effectively stop the rotation, we need to apply a torque in the opposite direction of the rotation. This means if the body is rotating clockwise, we should apply a torque that rotates it counterclockwise. **Hint:** Remember that torque is the product of force and the distance from the axis of rotation. ### Step 4: Determine the Best Application of Force Applying a force at the turning point or free end may not effectively stop the rotation because it does not create sufficient torque to counteract the existing rotational motion. Instead, applying a torque directly opposite to the direction of rotation is the most effective method. **Hint:** Think about how the application of torque can be maximized by considering the point of application and the direction of the force. ### Step 5: Conclusion The best way to stop a rigid body that is rotating about an axis is to apply torque in the opposite direction of its rotation. **Final Answer:** The best way to stop it is by applying torque in the opposite direction.
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Knowledge Check

  • A rigid body is rotating about a vertical axis. In t second, the axis gradually becomes horizontal. But the rigid body continues to make v rotations per second throughout the time interval of 1 second. If the moment of inertia I of the body about the axis of rotation can he taken as constant, then the torque acting on the body is

    A
    `2piv`
    B
    `2sqrt(2)piv`
    C
    `(2sqrt2piv)/t`
    D
    `(2sqrt(2)pivl)/t`
  • Consider the following two statements A and B and identify the correct choice A) When a rigid body is rotating about its own axis, at a given instant all particles of body posses same angular velocity. B) When a rigid body is rotating about its own axis, the linear velocity of a particle is directly proportional to its perpendicular distance from axis

    A
    `A` is true but `B` is false
    B
    `A` is false but `B` is true
    C
    Both `A` and `B` are true
    D
    Both `A` and `B` are false
  • A rigid body is rotating about a vertical axis at n rotations per minute, If the axis slowly becomes horizontal in t seconds and the body keeps on rotating at n rotations per minute then the torque acting on the body will be, if the moment of inertia of the body about axis of rotation is I.

    A
    zero
    B
    `(2pi nI)/(60t)`
    C
    `(2sqrt(2)pi nI)/(60t)`
    D
    `(4pi n I)/(60t)`
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