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PhysicsNLMSimple Application of NLMMedium2 minQB

PhysicsMediuminteger

In the figure shown, pulleys are ideal and strings are inextensible. Find acceleration (in $m / s^{2}$ ) of the block on right hand side.

$m / s^{2}$ )

Answer:

Solution:

Let the $m$ block accelerate down at $a_{1}$ and the $2 m$ block at $a_{2}$

Movable-pulley constraint: $a_{1} + 2 a_{2} = 0$

Equations: $m g - T = m a_{1}$ and $2 m g - 2 T = 2 m a_{2}$

These give $g - \frac{T}{m} = - 2 a_{2}$ and $g - \frac{T}{m} = a_{2}$ , so $a_{2} = - 2 a_{2}$

$a_{2} = 0$ m/s $^{2}$

Subject:PhysicsTopic:NLMSubtopic:Simple Application of NLM

⏱ 2mℹ️ Source: QB

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