Two objects A and B each of mass m are connected by a light inext… - Vidyadip

MCQ

Two objects $A$ and $B$ each of mass $m$ are connected by a light inextensible string. They are restricted to move on a frictionless ring of radius $R$ in a vertical plane (as shown in fig). The objects are released from rest at the position shown. Then, the tension in the cord just after release is

A
Zero
B
$mg$
C
$\sqrt 2\,mg$
✓
$mg/ \sqrt 2$

✓

Answer

Correct option: D.

$mg/ \sqrt 2$

d
$\frac{\mathrm{T}}{\sqrt{2}}=\mathrm{ma}$ ......$(1)$

$m g-\frac{T}{\sqrt{2}}=m a$ .......$(2)$

on solving: $T=\frac{m g}{\sqrt{2}}$

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