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Relative Velocity in 2D

In the given ...

Question

In the given arrangement the system is initially at rest. The $5 k g$ block is now released. Assuming the pulleys and string to be massless and smooth. The acceleration of block C is (Take $g = 9.8 m / s^{2}$ )

0.5 m / s^{2}

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0.6 m / s^{2}

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0.7 m / s^{2}

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0.8 m / s^{2}

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Solution

The correct option is B $0.6 m / s^{2}$
$\begin{matrix} F o r 10 k g b l o c k, m a - m a_{o} = m g - T 10 (a + a_{o}) = 100 - T F o r 5 k g b l o c k, 5 (a - a_{o}) = T - 50 F o r 8 k g b l o c k, 3 a = 2 T - 80 O n s o l v i n g t h e a b o v e e q u a t i o n s, a = 0.6 m s^{- 2} \end{matrix}$

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Similar questions

g = 9.8 m / s^{2})

0.6

g = 10 m / s^{2}

5 kg

m_{A} = m_{B} = 3

m_{C} =

m_{D} =

s^{2}

A

2 {m/s}^{2}

B

1 {m/s}^{2}

C

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