Two masses $m_1=5 \mathrm{~kg}$ and $m_2=4.8 \mathrm{~kg}$ tied to a string are hanging over a light…

Two masses $m_1=5 \mathrm{~kg}$ and $m_2=4.8 \mathrm{~kg}$ tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when lift free to move $\left(\mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^2\right)$
  1. $0.2 \mathrm{~m} / \mathrm{s}^2$
  2. $9.8 \mathrm{~m} / \mathrm{s}^2$
  3. $5 \mathrm{~m} / \mathrm{s}^2$
  4. $4.8 \mathrm{~m} / \mathrm{s}^2$

Solution

$\mathrm{a}=\left(\frac{\mathrm{m}_1-\mathrm{m}_2}{\mathrm{~m}_1+\mathrm{m}_2}\right) \mathrm{g}=0.2 \mathrm{~m} / \mathrm{s}^2$

Asked in: JEE Main 2004

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