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Assertion: A disc rolls without slipping...

Assertion: A disc rolls without slipping on a horizontal surface and the linear speed of its centre of mass is v. The rotational speed of the particles on its rim at the top of the disc will be 2v.
Reason: The disc rolls as if it is rotating about the point of contact with the horizontal surface.

A

Assertion is True, Reason is True, Reason is a correct explanation for Assertion

B

Assertion is True, Reason is True, Reason is not a correct explanation for Assertion

C

Assertion is False but, Reason is True.

D

Assertion is True, Reason is False

Text Solution

Verified by Experts

The correct Answer is:
A
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Knowledge Check

  • A symmetrical body of mass M and radius R is rolling without slipping on a horizontal surface with linear speed v. Then its angular speed is

    A
    v/R
    B
    Continuously increasing
    C
    Dependent on mass M
    D
    Independent of radius (R)

  • A disc is rolling without sliding on a horizontal surface. Velocity of the centre of the disc is V . Then the maximum relative sped of any point on the circumference of the disc with respect to point P is.

    A
    `V`
    B
    `2V`
    C
    `3V`
    D
    `(2V)/(3)`

  • A disc of radius 0.2 m is rolling with slipping on a flat horizontal surface, as shown in Fig. The instantaneous centre of rotation is (the lowest contact point is O and centre of disc is C )

    A
    zero
    B
    `0.1 m` above `O` on line `OC`
    C
    `0.2 m` below `O` on line `OC`
    D
    `0.2 m` above `O` on line `OC`

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