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Grade 11Mechanics

calculate the acceleration of the block A and B in this case.. if A= 2M AND B=M

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Harsh Rai

9 Years agoGrade 11

1 Answer

Shaswata Biswas

9 Years ago

Let the tension in the string attached to B be T. Then the tendion in the string attached to A is 2T.

Let the acceleration of block A is a upwards, and that of block B is a/2 downwards.

For motion of block A :

$2Ma = 2T - 2Mgsin\theta$ ........ (1)

For motion of block B :

$Ma/2 = Mg - 2T$ ........ (2)

Now, (1) + (2)

$2Ma + Ma/2 = Mg - 2Mgsin\theta$

=> $5Ma/2 = Mg(1-2sin\theta)$

=> $\frac{a}{2} = \frac{g(1-2sin\theta)}{5}$

So, the acceleration of block B is $\frac{a}{2} = \frac{g(1-2sin\theta)}{5}$

And the acceleration of block A is $a = \frac{2g(1-2sin\theta)}{5}$ .

THANKS

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