HW $7\mathrm{.}3$: In the pulley system shown, the $8-$pound box is traveling at a rate of $10f\frac{t}{sec},$ the cable is steel and has an effective diameter of $\frac{3}{16}$ inch, and dimension $A$ is $10$ ft $.$ If the pulley stops instantly, determine the deflection and stress in the cable. Assume $E=12{10}^{6}I\frac{b}{i}{n}^2$

As velocity but not height is known, use K$.$E$.$ methods:

Stress in the cable