MCQ
Two particles each of mass $m$ are moving in horizontal circle with same angular speed. If both string are of same length then the ratio of tension in string $\frac{T_1}{T_2}$ is .........
  • $\frac{3}{2}$
  • B
    $3$
  • C
    $2$
  • D
    $\frac{1}{3}$

Answer

Correct option: A.
$\frac{3}{2}$
a
(a)

$t _2= m (21) w ^2 \quad \dots (1)$

$t _1- t _2= ml ^2 \quad \dots (2)$

Ratio of both equation $(1)$ and $(2)$

$\frac{ t _1- t _2}{ t _2}=\frac{1}{2}$

$2\left(t_1-t_2\right)=t_2$

$2 t _1-2 t _2= t _2$

$2 t _1= t _2+2 t _2$

$2 t _1=3 t _2$

$\frac{ t _1}{ t _2}=\frac{3}{2}$

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