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>>Systems of Particles and Rotational Motion
>>Angular Velocity and its Relation with Linear Velocity
>> $Two particles having mass M and m are mo$

Question

Two particles having mass $M$ and $m$ are moving in a circular path having radius $R$ and $r$ . If their time period are same, then the ratio of their angular velocity will be :

A

$\frac{r}{R}$

B

$\frac{R}{r}$

C

$1$

D

$\frac{R}{r}$

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Updated on : 2022-09-05

Solution

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Correct option is C)

Time period of revolution $T = \frac{2 π}{w}$

As according to question, $T_{1} = T_{2}$

$∴$ $\frac{2 π}{w _{1}} = \frac{2 π}{w _{2}}$

$⟹ w_{1} = w_{2}$

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