1. A cylinder with radius r and moment of inertia I about its central axis is mounted on a frictionless bearing and wrapped with a massless string. The string leads over a massless, frictionless pulley to a mass m hanging in the air. The cylinder starts from rest and begins to rotate as the mass accelerates downward. I a) (2 pts.) Find the tension in the string in terms of the hanging mass m and its acceleration a. b) (3 pts.) Find the rotational inertia I by measuring the hanging mass m, its acceleration a, and radius r. Express I in terms of m, a, and r.