Three identical particles are joined together by a thread as show… - Vidyadip

MCQ

Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a horizontal plane. If the velocity of the outermost particle is $v$, then the ratio of tensions in the three sections of the string is

A
$3: 5: 7$
B
$3: 4: 5$
C
$7: 11: 6$
✓
$3: 5: 6$

✓

Answer

Correct option: D.

$3: 5: 6$

(d) Let $\omega$ is the angular speed of revolution
$ T_3=m \omega^2 3 l T_2-T_3=m \omega^2 2 l$
$\Rightarrow T_2=m \omega^2 5 l T_1-T_2=m \omega^2 l$
$\Rightarrow T_1=m \omega^2 6 l$
$T_3: T_2: T_1=3: 5: 6$

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