The three small spheres are welded to the light rigid frame which is rotating in a horizontal plane about a vertical axis through O with an

Question

The three small spheres are welded to the light rigid frame which is rotating in a horizontal plane about a vertical axis through O with an angular velocity w= 20 rad/s. If a couple MO= 30 N.m is applied to the frame for 5 seconds, compute the new angular velocity.

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Amity 4 years 2021-07-18T21:45:43+00:00 1 Answers 133 views 0

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  1. taiduc
    1
    2021-07-18T21:47:12+00:00
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    Answer:

    The new angular velocity will be “80.73 rad/sec“.

    Explanation:

    The given values are:

    Angular velocity, W = 20 rad/s

    M = 30 N

    Time, t = 5 seconds

    As we know,

    Wf=Wi+\frac{Mt}{I}

    On putting the values in the above formula, we get

    Wf=20+\frac{30\times 5}{m1L1^2+m2L2^2+m3L3^2}

    Wf=20+\frac{150}{m1L1^2+m2L2^2+m3L3^2}

    Wf=80.73 \ rad/sec

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