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

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

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

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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