Problem $1$: The $200$ kg spool has a radius of gyration about its mass center of $k_G=300mm.$ If the couple moment is applied to the spool and the coefficient of kinetic and static friction between the spool and the ground is ${}_k={}_s=0\mathrm{.}2,$ determine the angular acceleration of the spool, the acceleration of $G$ and the tension in the cable. Hint: There is slipping between the spool and ground, but not between the spool and the rope.

Ans: $=1\mathrm{.}15ra\frac{d}{s^2},T=485N$