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Applying NLM along 3 Axis

See the arran...

Question

See the arrangement shown in figure. If the acceleration of block B is a , then the acceleration of block A in magnitude will be:

5 a

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2 a

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3 a

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4 a

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Solution

The correct option is D $3 a$
Total temsion on M block $= 3 T$
Total thrsion on block $A = T$
We know
$T \propto \frac{1}{a}$

$\frac{T_{a}}{T_{b}} = \frac{a_{b}}{a_{a}}$

$\frac{T}{3 T} = \frac{a}{a_{a}}$

$a_{a} = 3 a$

$[c] 3 a$

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