A light unstretchable string passing over a smooth light pulley connects two blocks of masses m₁ and m₂. If the acceleration of the system is g/8, then the ratio of the masses (m₂)/(m₁) is: (a) 5: 3 (b) 8: 1 (c) 9: 7 (d) 4: 3

Answer: (c). (m₂ - m₁)/(m₂ + m₁) = 1/8 8m₂ - 8m₁ = m₂ + m₁ ⇒ 7m₂ = 9m₁ (m₂)/(m₁) = 9/7, so the answer is (c) 9: 7.

A light unstretchable string passing over a smooth light pulley… | JEE Main 2024 (9 Apr, Shift 1)

Q13JEE Main 2024 · 9 APR · SHIFT 1Easy

Connected Bodies & Pulleys

A light unstretchable string passing over a smooth light pulley connects two blocks of masses $m_1$ and $m_2$ . If the acceleration of the system is $\frac{g}{8}$ , then the ratio of the masses $\frac{m_2}{m_1}$ is:

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Answer: (c)

$\dfrac{m_2 - m_1}{m_2 + m_1} = \dfrac{1}{8}$
$8m_2 - 8m_1 = m_2 + m_1 \Rightarrow 7m_2 = 9m_1$
$\dfrac{m_2}{m_1} = \dfrac{9}{7}$ , so the answer is (c) $9 : 7$ .

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