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Quantum Numbers

In the pulley...

Question

In the pulley-block arrangement shown in figure. Find relation between $a_{A}, a_{B}$ and $a_{C}$ .

A

a_{A} + 2 a_{B} + a_{C} = 0

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B

2 a_{A} + a_{B} + a_{C} = 0

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C

a_{A} + a_{B} + 2 a_{C} = 0

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D

a_{A} + a_{B} + a_{C} = 0

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Solution

The correct option is A $a_{A} + 2 a_{B} + a_{C} = 0$
$X_{A} + 2 X_{B} + X_{C} =$ constant
on double differentiating with respect to time, we get,
$a_{A} + 2 a_{B} + a_{C} = 0$

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