Home
Class 11
PHYSICS
The centre of a wheel rolling on a plaen...

The centre of a wheel rolling on a plaen surface moves with a speed `v_0`. A particle on the rim of the wheel at the same level as the centre will be moving at speed

A

`sqrt(2)upsilon_(0)`

B

`2 upsilon_(0)`

C

`upsilon_(0)`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
A
In Fig.

`upsilon_(0) = R omega`
At `P, upsilon = r omega = sqrt(R^(2) + R^(2)) (omega)`
`= sqrt(2) R omega = sqrt(2) upsilon_(0)`
Promotional Banner

Similar Questions

Explore conceptually related problems

The centre of a wheel rolling on a plane surface moves with a speed v_0 . A particle on the rim of the wheel at the same level as the centre will be moving at a speed sqrt(x) v_0 . Then the value of x is ______ .

The centre of a wheel rolling without slipping on a plane surface moves with a speed v_(0) . A particle on the rim of the wheel at the same level as the centre of wheel will be moving with speed

The centre of the wheel rolling on a plane surface moves with velocity v_0 . A particle on the rim of the wheel at same level as the centre will be sqrt(x)v_0 . Find x

The locus of the centre of a wheel rolling on a straight road is a ______

Consider a wheel of a bicycle rolling on a level road at a liner speed v_0 figure.

Two thin rings of slightly different radii are joined together to make a wheel (see figure) of radius R. There is a very small smooth gap between the two ring. The wheel has a mass M and its centre of mass is at its geometrical centre. The wheel stands on a smooth surface and a small particle of mass m lies at the top (A) in the gap between the rings. The system is released and the particle begins to slide down along the gap. Assume that the ring does not lose contact with the surface. (a) As the particle slides down from top point A to the bottom point B, in which direction does the centre of the wheel move? (b) Find the speed of centre of the wheel when the particle just reaches the bottom point B. How much force the particle is exerting on the wheel at this instant? (c) Find the speed of the centre of the wheel at the moment the position vector of the particle with respect to the centre of the wheel makes an angle q with the vertical. Do this calculation assuming that the particle is in contact with the inner ring at desired value of theta