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Physics - NLM Question with Solution | TestHub

PhysicsNLMChallenging application of NLMHard2 minPYQ_2021

PhysicsHardsingle choice

A block of mass $m$ slides on the wooden wedge, which in turn slides backward on the horizontal surface. The acceleration of the block with respect to the wedge is:
Given $m = 8 kg, M = 16 kg$
Assume all the surfaces shown in the figure to be frictionless.

Options:

Answer:

Solution:

$N \cos 60 ° = M a_{1} = 16 a_{1}$
$\Rightarrow N = 32 a_{1}$
$⊥$ to incline

$N = 8 gcos 30 ° - 8 a_{1} \sin 30 ° \Rightarrow 32 a_{1} = 44 \sqrt{3} g - 4 a_{1}$

$\Rightarrow a_{2} = \frac{\sqrt{3}}{9} g$

Along incline

$8 gsin 30 ° + 8 a_{1} \cos 30 ° = m a_{2} = 8 a_{2}$

$a_{2} = g \times \frac{1}{2} + \frac{\sqrt{3}}{9} g \cdot \frac{\sqrt{3}}{2} = \frac{2 g}{3}$

Stream:JEESubject:PhysicsTopic:NLMSubtopic:Challenging application of NLM

⏱ 2mℹ️ Source: PYQ_2021

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