Two masses M and m are attached to a verti

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Two masses $M$ and $m$ are attached to a vertical axis by weightless threads of combined length $l$. They are set in rotational motion in a horizontal plane about this axis with constant angular velocity $\omega $. If the tensions in the threads are the same during motion, the distance of $M$ from the axis is

A

$\frac{{Ml}}{{M + m}}$

B

$\frac{{ml}}{{M + m}}$

C

$\frac{{M + m}}{M}l$

D

$\frac{{M + m}}{m}l$

Two masses $M$ and $m$ are attached to a vertical axis by weightless threads of combined length $l$. They are set in rotational motion in a horizontal plane about this axis with constant angular velocity $\omega $. If the tensions in the threads are the same during motion, the distance of $M$ from the axis is

(b )If the both mass are revolving about the axis $yy'$ and tension in both the threads are equal then

$M{\omega ^2}x = m{\omega ^2}(l - x)$

$⇒$ $Mx = m(l - x)$

$⇒$  $x = \frac{{ml}}{{M + m}}$