vector Mechanics for Engineers : Statics and Dynamics (7th Edition)

A 30-lb cylinder of diameter b 5 8 in. and height h 5 6 in. is placed
on a 10-lb platform CD that is held in the position shown by three cables.
It is desired to determine the minimum value of mu_s between the cylinder
and the platform for which the cylinder does not slip on the platform, immediately
after cable AB is cut. calculate and plot the minimum allowable value of mu_s for values of theta from 0 to 30

the answer attached and the matlab code attached also