A light string passing over a smooth light pulley connects two blocks of masses ${m_1}$ and ${m_2}$ (vertically). If the acceleration of the system is $\left( {\frac{g}{8}} \right)$ then the ratio of the masses is
A light string passing over a smooth light pulley connects two blocks of masses ${m_1}$ and ${m_2}$ (vertically). If the acceleration of the system is $\left( {\frac{g}{8}} \right)$ then the ratio of the masses is
$8:1$
$9:7$
$4:3$
$5:3$
A light string passing over a smooth light pulley connects two blocks of masses ${m_1}$ and ${m_2}$ (vertically). If the acceleration of the system is $\left( {\frac{g}{8}} \right)$ then the ratio of the masses is
$a = \left( {\frac{{{m_1} - {m_2}}}{{{m_1} + {m_2}}}} \right)\,g$
$⇒$ $\frac{g}{8} = \left( {\frac{{{m_1} - {m_2}}}{{{m_1} + {m_2}}}} \right)\,g$
$⇒$ $\frac{{{m_1}}}{{{m_2}}} = \frac{9}{7}$
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