Question

In the pulley system shown, if radii of the bigger and smaller pulley are 2m and 1m respectively and acceleration of block A is $5m/s^2$ then the acceleration of block B will be:

• A. $0m/s^2$
• B. $5m/s^2$
• C. $10m/s^2$
• D. $\frac{5}{2}m/s^2$

Answer 1

The correct option is D

$\frac{5}{2}m/s^2$

$a_A=2\alpha =5\alpha =\frac{5}{2}rad/s^2{a}_B=\alpha \left(1\right)=\frac{5}{2}m/s^2$