Question

Hello guys
Please solve this problem



A particle P is moving in a circle of radius r with
uniform speed v. C is the centre of the circle and
AB is diameter. The angular velocity of P about A
and C is in the ratio
(1) 4:1
(2) 2:1
(3) 1:2
(4) 1:1
Please give explanation also,
​

Answer 1

Let the angular velocity of the particle about centre c = ωc, and at point A on the circumference of circle = ωa

we know that angular velocity about centre of circle =2 times about angular velocity about any point on the circumference.

 ωc = 2 ωa

 ωa/ωc   =  1/2

hence 2 is correct option.

sea above picture

hope it's help you

Answer 2

2 : 1

i.e. option 2 .....