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Incline With Mass And Pulley - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

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  • 10 Questions around this concept.

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Two bodies of masses $\mathrm{m}_1=5 \mathrm{~kg}$ and $\mathrm{m}_2=3 \mathrm{~kg}$ are connected by a light string going over a smooth light pulley on a smooth inclined plane as shown in the figure. The system is at rest. The force exerted by the inclined plane on the body of mass $\mathrm{m}_1$ will be : [Take $\mathrm{g}=10 \mathrm{~ms}^{-2}$ ]

Assertion: One mass of 10 kg is there in an inclined plane of 30 degrees and is attached with a vertically hanging mass of 20 kg by a string; which passes over a smooth pulley; acceleration of the system is 5ms^{-2}

Reason: acceleration of the system is \frac{m_{2}g-m_{1}gsin\theta }{m_{1}+m_{2}}

Concepts Covered - 1

When Block is hanging from Incline

When Block is hanging from Incline

  1. When one Block is hanging, other is on the Incline plane.

$\begin{aligned} & a=\frac{\left[m_2-m_1 \sin \theta\right] g}{m_1+m_2} \\ & T=\frac{m_1 m_2(1+\sin \theta) g}{m_1+m_2}\end{aligned}$

 

  1. Double inclined plane with different angles

 

$\begin{aligned} & a=\frac{\left(m_2 \sin \theta_2-m_1 \sin \theta_1\right) g}{m_1+m_2} \\ & T=\frac{m_1 m_2\left(\sin \theta_1+\sin \theta_2\right) g}{m_1+m_2}\end{aligned}$

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When Block is hanging from Incline

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