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23 April, 05:50

Does a rigid object in uniform rotation about a fixed axis satisfy the first and second conditions for equilibrium?

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  1. 23 April, 06:23
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    a rigid object in uniform rotation about a fixed axis does not satisfy both the condition of equilibrium.

    First condition of equilibrium is that net force on the body should be zero.

    or F net = 0

    A body under uniform rotation is experiencing a centripetal force all the time so F net ≠ 0

    So first condition of equilibrium is not satisfied.

    Second condition is that, net torque acting on the body must be zero.

    In case of a rigid object in uniform rotation, centripetal force is applied towards the centre ie towards the line joining the body under rotation with the axis.

    F is along r

    torque = r x F

    = r F sinθ

    θ = 0 degree

    torque = 0

    Hence 2nd condition is fulfilled.
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