Question

A small, light pulley is attached with a block C of mass $4kg$ as shown in $Fig.6.294$. Block B of mass $1.5kg$ is placed on the top horizontal surface of C. Another block A of mass $2kg$ is hanging from a string, attached with B and passing over the pulley. Taking $g=10m{s}^{-2}$ and neglecting friction, calculate the acceleration of each block when the system is released from rest.

Answer 1

Vertical acceleration of $A=a=6.25m{s}^{-2}$ (downward); Horizontal acceleration of $A=c=1.25m{s}^{-2}$ (rightward); Acceleration of $B=(a-c)=5.00m{s}^{-2}$ (leftward); Acceleration of $C=c=1.25m{s}^{-2}$ (rightward)