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Question

Question: A particle P is moving in a circle of radius ‘a’ with a uniform speed v. C is the centre of the circ...

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

Answer

1 : 2

Explanation

Solution

Angular velocity of P about A

ωA=v2a\omega_{A} = \frac{v}{2a}

Angular velocity of P about C

ωC=va\omega_{C} = \frac{v}{a}

ωAωC=1:2\frac{\omega_{A}}{\omega_{C}} = 1:2