Question

Two small beads P and Q of equal mass ( = m) are connected by a light inextensible string. They are constrained

to move on a frictionless ring in a vertical plane. The blocks are released from rest as

shown in the figure. The tension in the string just after release is

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

$\text{FBD's just after release are}mg-Tcos{45}^0=maTsin{45}^0=maT=\sqrt{2}ma........\left(1\right)mg-\sqrt{2}ma.\frac{1}{\sqrt{2}}=ma.......Fromeqn\left(1\right)mg=\sqrt{2}maora=\frac{g}{2}\therefore T=\sqrt{2}m.\frac{g}{2}=\frac{mg}{\sqrt{2}}$