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Q.

Two weight W₁ and W₂ are suspended as shown in figure. When the pulley is pulled up with an
acceleration g, then the tension in the string is

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a

$\frac{{4w}_{1} w_{2}}{w_{1} + w_{2}}$

b

$\frac{w_{1} w_{2}}{w_{1} + w_{2}}$

c

$\frac{{2w}_{1} w_{2}}{w_{1} + w_{2}}$

d

$\frac{w_{1} + w_{2}}{2}$

answer is A.

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Detailed Solution

$T = \frac{{2m}_{1} m_{2}}{m_{1} + m_{2}} (g + a) = \frac{4 W_{1} W_{2}}{W_{1} + W_{2}}$

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