A uniform thin rod having a mass of 4kg is standing vertically, balanced at rest as shown. A horizontal force F is applied to the rod at a height h above the floor from t=0 to t-T sec (T is not given) Note: The floor is rough but the coefficient of friction is unknown. Find (2pt each) a) the inertia of the rod at its mass center (half-way up), G, I(=), and at the bottom A, I b) the linear impulse of F experienced by the rod, and the angular impulse at A by F at h, c) the linear momentum and angular momentum of the rod at time T. d) the horizontal linear speed, v(=V) and the angular speed of the rod, @ at time T, and e) the height h of the applied force so that the rod will not slip 0.8 m