Question

A particle p is moving in a circle of radius 'd' 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

Answer 1

The correct option is B

1 : 2

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,
${\omega }_C=\frac{v}{r_{BC}}=\frac{v}{r}Ratio=\frac{{\omega }_A}{{\omega }_C}=\frac{\frac{v}{2r}}{\frac{v}{r}}=\frac{1}{2}$