Question

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. Then

• A. acceleration of 2 kg mass is $15\, m / s ^{2}$
• B. acceleration of 4 kg mass is $2.5\, m / s ^{2}$
• C. acceleration of both the masses is same
• D. acceleration of both the masses is upward

Answer 1

Answer: (A), (B), (D)

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