Problem $6$:

Given: The spring with a spring constant, $\backslash (\backslash$mathrm$\{$K$\}=15\backslash$mathrm$\{$lb$\}./\backslash$mathrm$\{$in$\}\backslash ),$ is attached to the disk at point A and to the end fitting at point as shown. The spring is un$-$stretched when $\backslash (\backslash$Theta$\_\{\backslash$mathrm$\{$A$\}\}\backslash )$ and $\backslash (\backslash$Theta$\_\{\backslash$mathrm$\{$B$\}\}\backslash )$ are both equal to zero. Assume that the disk is rotated $15$ degrees clockwise and the end fitting is rotated $30$ degrees counterclockwise.

Find:

A$.$ Determine the stretch in the spring

B$.$ Determine a vector expression for the force, F $,$ which the spring exerts at point A in CVN

C$.$ Calculate the magnitude of F

D$.$ Calculate the direction coordinate angle associate with F