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3-2.Motion in Plane
medium
A particle $P$ is moving in a circle of radius $'a'$ with a uniform speed $v$. $C$ is the centre of the circle and $AB$ is a diameter. When passing through $B$ the angular velocity of $P$ about $A$ and $C$ are in the ratio
A$1:1$
B$1:2$
C$2:1$
D$4:1$
Solution
(b)Angular velocity of particle $P$ about point $A$,${\omega _A} = \frac{v}{{{r_{AB}}}} = \frac{v}{{2r}}$
Angular velocity of particle $P$ about point $C$,
${\omega _C} = \frac{v}{{{r_{BC}}}} = \frac{v}{r}$
Ratio $\frac{{{\omega _A}}}{{{\omega _C}}} = \frac{{v/2r}}{{v/r}} = \frac{1}{2}.$
Standard 11
Physics
