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In the figure shown the relation between the accelerations of A, B & C is (here a = acceleration of A relative to C)

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a = b + c

a + b + c = 0

None of these

2a + b = c

answer is B.

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Detailed Solution

l = x_{A} + x_{B}

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

$\vec{a_{A}} = \vec{a_{C}} - \vec{a_{B}}$

$= a_{C} - (- a_{B})$

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

$a = b + c$

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