First slide

Rolling motion

Question

If a disc is rolling without slipping ( centre of mass is moving rightward and the body is rotating about the centre of mass clockwise), then the ratio of speeds of point C to that of B is

Moderate

A

2 : 1
B

$\sqrt{2} : 1$
C

1 : 1
D

4 : 1

Solution

$V_{B} = 2 V \cos \frac{120^{0}}{2} = V$
velocity at C $\begin{array}{l} V_{C} = 2 V \cos \frac{90^{o}}{2} = \sqrt{2} V \end{array}$
$V_{C} : V_{B} = \sqrt{2} : 1$

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