Question

Two masses M₁ and M₂ are tied together at the two ends of a light inextensible string that passes over a frictionless pulley. When the mass M₂ is twice that of M₁. the acceleration of the system is a₁. When the mass M₂ is thrice that of M₁. The acceleration of The system is a₂. The ratio \(\frac{a_1}{a_2}\) will be:

(A) \(\frac13\)

(B) \(\frac 23\)

(C) \(\frac32\)

(D) \(\frac 12\)

Answer 1

Correct option is (B) \(\frac 23\) 

\(a = \frac{m_2g - m_1g}{m_1 + m_2}\)

Case 1

Case -2