Problem 4 (20 pts) A marble, mass M, rolls around the inside of a cone with a constant speed vo. The marble stays a distance L from the apex of the cone; in other words, the marbles stays at a constant height relative to the floor. This isn't entirely realistic, but would happen without friction. L a) (5 pts) Draw a free-body diagram of the marble when it is on the left side of the cone. All forces must be labeled (e.g. w ) and you must show the net force vector. b) (10 pts) Write out Newton's 2nd law in component form using the symbols you defined in your free-body diagram. Don't solve the equations. c) (5 pts) Determine the acceleration of the marble. Express your answer as a vector that is some combination of M, vo, 0, and L (you do not need to use all symbols in your answer). Note: you do not need to solve equations in part b) to find your