Three identical particles are joined together by a thread as shown in figure.

Question

Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a horizontal plane in circular path with ‘O’ as center. If the velocity of the outermost particle is

v_{0}

, then the ratio of tensions in the three sections of the string is

Three Identical Particles Are Joined Together By A Thread As...

Options:

A . 3 : 5 : 7

B . 3 : 4 : 5

C . 7 : 11 : 6

D . 3 : 5 : 6

Answer: Option D
:
D

Let

ω

is the angular speed of revoultion

T_{3}

ω^{2}

T_{2}

T_{3}

ω^{2}

\Rightarrow

T_{2}

= m

ω^{2} 5 l

T_{1}

T_{2}

= m

ω^{2} l

\Rightarrow

T_{1}

= m

ω^{2} 6 l

T_{3}

T_{2}

T_{1}

= 3 : 5 : 6

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