In: Physics
A hollow sphere of mass M and radius R is hit by a pendulum of mass m and length L that is raised at an angle θ. After the collision the pendulum comes to a stop and the sphere rolls forward into a spring with stiffness k on an incline of ϕ. Find an expression for how far ∆x the spring compresses along the incline. Use only m, L, M, R, θ, ϕ, k and appropriate constants.