Each problem requires a proper FBD and separate kinematic diagram. **Problem Statement:**The 100-kg spool has a radius of gyration about its center of mass is \(k_g = 0.3 \, \text{m}\). The coefficients of static and kinetic friction are \(\mu_s = 0.2\) and \(\mu_k = 0.15\). If the rope of negligible mass is pulled horizontally from the inner hub with a force of \(P = 50 \, \text{N}\), find the angular acceleration of the spool and the horizontal acceleration of point \(G\).**Diagram Description:**A diagram accompanies the problem showing a spool with an outer radius of 400 mm and an inner hub radius of 250 mm. The spool is on a surface, and a force \(P\) is applied horizontally to the right at the inner hub. Point \(G\) is marked at the center of the spool, where the mass is centered. The diagram aids in understanding the distribution of forces and the motion involved.

Concept: The schematic diagram of the system is given below,

The 100-kg spool has a radius of gyration about its center of mass is ko = 0.3 m. The coefficients of static and kinetic coefficients of friction are - 0.2 and 4-0.15. If The rope of negligible mass is pulled horizontally from the inner hub with a force of P-50 N, find the angular acceleration of the spool and the horizontal acceleration of point G. 250m

The 100-kg spool has a radius of gyration about its center of mass is ko = 0.3 m. The coefficients of static and kinetic coefficients of friction are - 0.2 and 4-0.15. If The rope of negligible mass is pulled horizontally from the inner hub with a force of P-50 N, find the angular acceleration of the spool and the horizontal acceleration of point G. 250m