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A uniform circular disc of radius r plac...

A uniform circular disc of radius r placed on a rough horizontal plane has initial velocity `v_(0)` and angular `omega_(0)` as shown. The disc comes to rest after moving some distance in the direction of motion. Then

A

The friction force acts in the forward direction

B

The point of contact of disc with ground has zero velocity

C

`v_(0)` must be equal to `(romega_(0))/(2)` in magnitude

D

`v_(0)` must be equal to `2romega_(0)` in magnitude

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • A uniform circular disc of radius r . 1placed on a rough horizontal plane has initial velocity v_(0) and an angular velocity omega_(0) as shown. The disc comes to rest after moving some distance in the direction of motion. Then

    A
    the friction force acts in the backwards direction
    B
    the point of contact of disc with ground has zero velocity
    C
    `v_(0)` must be equal to `(romega_(0))/2` in magnitude
    D
    `v_(0)` must be equal to `2romega_(0)` in magnitude

  • a uniform circular disc of radiu8s r placed on a roughn horizontal plane has initial velocity v_(0) and an angul,ar velocity omega_(0) has shown The disc comes to rest after moving some distance in the direction of motion. Then

    A
    the friction force acting in the towards direction
    B
    the point of contact of disc with ground has initially zero velocity
    C
    `v_(0)` must be equal to `romega_(0)//2` in magnitude
    D
    `v_(0)` must be equal to `2romega_(0)` in magnitude

  • A uniform circular disc of radius r is placed on a rough horizontal surface and given a linear velocity v_(0) and angular velocity omega_(0) as shown. The disc comes to rest after moving some distance to the right. It follows that

    A
    `3v_(0)=2omega_(0)r`
    B
    `2v_(0)=omega_(0)r`
    C
    `v_(0)=omega_(0)r`
    D
    `2v_(0)=3omega_(0)r`

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