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A rigid body is free to rotate about an ...

A rigid body is free to rotate about an axis. Can the body have non-zero angulalr acceleration of an instant when its angular velocity is zero?

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To solve the question, we need to analyze the relationship between angular velocity and angular acceleration for a rigid body that is free to rotate about an axis. ### Step-by-Step Solution: 1. **Understanding Angular Velocity and Angular Acceleration**: - Angular velocity (ω) is the rate of change of angular displacement and indicates how fast an object is rotating. - Angular acceleration (α) is the rate of change of angular velocity and indicates how quickly the angular velocity is changing. ...
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Knowledge Check

  • 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.

  • A body rotates about a fixed axis with an angular acceleration of 3 rad//s^(2) The angle rotated by it during the time when its angular velocity increases frm 10 rad/s to 20 rad/s (in radian) is

    A
    50
    B
    100
    C
    150
    D
    200

  • If P is the power supplied to a rotating body, having moment of inertia I and angular acceleration alpha , then its instantaneous angular velocity is given by

    A
    `omega=(PI)/(alpha)`
    B
    `omega=(P)/(Ialpha)`
    C
    `omega=Pialpha`
    D
    `omega=(I)/(Palpha)`

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    If a body is rotating such that its angle from a fixed location is given by theta=t^(3)-3t^(2)-6t+3 . Find its angular velocity, angular acceleration, and the time at which its angular velocity is zero.

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