It disk with a mass M. a radius R. and a rotational inertia of l = x; MR2 is attached to a horizontal spring which has a spring constant of k. When the spring is stretched by a distance xancl then released from rest. the disk rolls without slipping while the spring is attached to the frictionless axle within the center of the disk. a. Calculate the maximum translational velocity of the disk in terms of M, R. x. k. [3 marks] is. What would happen to the period of this motion if the spring constant of the spring increased? Justify your answer. {2 marks] c. What would happen to the period of this motion if the surface was not frictionless and the disk was not allowed to roll? Justify your answer. [2 marks]