FIGURE 2 shows that a solid, frictionless cylindrical pulley with the radius 0.33 m is used to draw water from a well. A bucket of mass 1.53 kg is attached to a cord that is wrapped around the cylinder. We assume the cord has negligible mass and does not stretch or slip the pulley. Given that the moment of inertia of the pulley is 0.385 kg m².

(a) Calculate the angular acceleration a of the pulley and the linear acceleration a of the bucket.

(b)Determine the tension in the cord.​