Question

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

• A. $\sqrt{2}mg$
• B. $mg$
• C. $\frac{mg}{\sqrt{2}}$
• D. $2mg$

Answer 1

Answer: (C)

$Tsin45^{\circ }=ma$ (for A) .....(i)

$Mg-Tsin45^{\circ }=ma$ (for B) .....(ii)

From (i) and (ii), $T=\frac{mg}{2sin45^{\circ }}$

$=\frac{mg}{\sqrt{2}}$