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Find the position of instantaneous centr...

Find the position of instantaneous centre of rotation and angular velocity of the disc in the following cases as shown. Radius of disc is `R` in each case.

Text Solution

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a. `(v_(P))/(v_(Q))=(2R+x)/x`
`=(2v)/v=(2R+x)/x x x`
`implies2x=2R+x:. x=2R`
`:. Omega=v_Q/x=v/(2R)`
`b. v_P/v_Q=(2R-x)/x`
`(2v)/v=(2R-x)/x`
`:. x=2R//3` and `omega=(v_(Q))/x=(3v)/(2R)`

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Knowledge Check

  • When a disc rotates with uniform angular velocity, which of the following is not true?

    A
    Some of rotation remains same
    B
    Orientation of the axis of rotation remains same.
    C
    The speed of rotation is non-zero and remains same
    D
    The angular acceleration is non-zero and remains same.

  • When a disc rotates with uniform angular velocity , which of the following is not true ?

    A
    The sense of rotation remains same
    B
    The orientation of the axes of rotation remains the same
    C
    The speed of rotation is non-zero and remains same
    D
    The angular acceleration is non-zero and remains same

  • When a disc rotates with uniform angular velocity, which of the following is not true ?

    A
    The sense of rotation remains same.
    B
    The orientation of the axis of rotation remains same.
    C
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    D
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