Two masses $m$ and $M$ are attached to the strings as shown in the figure. If the system is in equilibrium, then 

37-497

  • A

    $tan\theta = 1 +\frac{{2M}}{m}$

  • B

    $cot\theta = 1 + \frac{{2M}}{m}$

  • C

    $tan\theta = 1 + \frac{{2M}}{m}$

  • D

    $cot\theta = 1 + \frac{{2M}}{m}$

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  • [AIIMS 2018]

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Three blocks of masses ${m_1},\,{m_2}$ and ${m_3}$ are connected by massless strings as shown on a frictionless table. They are pulled with a force ${T_3} = 40\,N$. If ${m_1} = 10\,kg,\,{m_2} = 6\,kg$ and ${m_3} = 4\,kg$, the tension ${T_2}$ will be ........ $N$