Q. Two blocks of masses $m_{1}=2\, kg$ and $m_{2}=4\, kg$ hang over a massless pulley as shown in the figure. A force $F_{0}=100\, N$ acting at the axis of the pulley accelerates the system upwards. ThenPhysics Question Image

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Solution:

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Acceleration of $2 kg$ block
$\left(a_{2}\right)=\frac{50-20}{2}=15\, m / s ^{2} \uparrow$
Acceleration of $4\, kg$ block
$\left(a_{4}\right)=\frac{50-40}{4}=2.5\, m / s ^{2} \uparrow$