A particle B is moving in a circle of radius a with a uniform speed u . C is centre of circle and AB

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3-2.Motion in Plane

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A particle $B$ is moving in a circle of radius $a$ with a uniform speed $u$. $C$ is the centre of the circle and $AB$ is diameter. The angular velocity of $B$ about $A$ and $C$ are in the ratio

A

$1 : 1$

B

$1 : 2$

C

$2 : 1$

D

$4 : 1$

Solution

Angular velocity of $P$ about $A$

$\omega_{A}=\frac{V}{2 a}$

Angular velocity of $P$ about $C$

$\omega_{C}=\frac{v}{a}$

$\therefore \frac{\omega_{A}}{\omega_{C}}=1: 2$

Standard 11

Physics

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