Circular Motion

Classical Mechanics Level 2

A particle P is moving in a circle of radius $a$ with a uniform speed $u$ . $C$ is the centre of the circle and $AB$ is the diameter. The angular velocities of P when at $B$ , about $A$ and $C$ are in the ratio $\text{\_\_\_\_\_\_}.$

1:2

1:3

1:1

2:1

1 solution

Tom Engelsman
Dec 12, 2016

The angular velocity of $P$ about $C$ computes as $\omega_C = \frac{u}{a}$ and about $A$ is $\omega_A = \frac{u}{2a}$ . Thus:

$\frac{\omega_A}{\omega_C} = \boxed{1 : 2}.$

Circular Motion

1 solution

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