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Q.

Two blocks A and B of equal mass m are connected through a massless string and arranged as shown in figure. Friction is absent everywhere. When the system is released from rest:

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a

tension in string is

\frac{mg}{2}

b

acceleration of A is

\frac{3}{2} g

c

tension in string is

\frac{mg}{4}

d

acceleration of A is

\frac{g}{2}

answer is B, D.

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Detailed Solution

Question Image

$∵ m_{A} = m_{B} = m$

Question Image

$3mg = 4ma$

$a = \frac{3}{4} g$

$mg - T_{1} = m . \frac{3}{4} g$

$mg - \frac{3}{4} mg = T_{1}$

$T_{1} = \frac{mg}{4}$

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