Hint: After impact, the energy of the pendulum and lodged projectile is conserved. To solve for the maximum angle the pendulum will swing, use conservation of energy: T1 + V1 = T2 + V2 where T1 is the initial kinetic energy, V1 is the initial potential energy, T2 is the final kinetic energy, and V2 is the final potential energy of the system. In this situation, the initial conditions are immediately after impact, and the final conditions are at the maximum angle. Set the initial potential energy of the system to zero and express the final potential energy term as a function of the maximum angle θ, and solve for θ. Conservation of Momentum Learning Goal: To be able to describe the motion of rigid bodies by applying the conservation of linear and angular momenta. If the sum of all the linear impulses acting on a system of connected rigid bodies is zero, the linear momentum of the system is conserved. Mathematically, this relationship is expressed as the conservation of linear momentum. If the sum of all the angular impulses (created by the external forces that act on the system) is negligible or zero, then the angular momentum of a system of connected rigid bodies is conserved about the system's center of mass or about a fixed point. Part B: A pendulum consists of a slender rod, AB, of weight Wr = 8.10 lb and a wooden sphere of weight Ws = 22.4 lb. (Figure 1) The length of the rod is d1 = 7.50 ft and the radius of the sphere is R = 0.300 ft. A projectile of weight Wp = 0.200 lb strikes the center of the sphere at a velocity of v1 = 912 ft/s and becomes embedded in the center of the sphere. What is ω, the angular velocity of the pendulum, immediately after the projectile strikes the sphere? Express your answer numerically in radians per second to three significant figures. ω = 0.931 rad/s Part C What is θ, the maximum angle measured from the vertical that the pendulum will swing, after the projectile impacts the pendulum? θ = 57.3 degrees