Question

A loop of light inextensible string passes over smooth small pulleys A and B. Two masses m and M are attached to the points O and C respectively. Then the condition that m and M will cross each other is: [Take: AB = 2l and AC = AB = ηl]

• A.

  2 -1

• B.

  2 -1

• C.
  M η+3
• D. none of these

Answer 1

Answer: (B)

(B)

Answer 2

The condition for the masses to cross each other is related to the stability of the system and can be derived by analyzing the potential energy. The correct condition is:

$\frac{m}{M} > 2\sqrt{\frac{\eta+3}{\eta+1}}-1$