A block (mass = 2.0 kg) is hanging from a massless cord that…
A block (mass = 2.0 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = 1.1 × kg · m^2), as the drawing shows. Initially, the pulley is prevented from rotating, and the block is stationary. Then, the pulley is allowed to rotate as the block falls. The cord does not slip relative to the pulley as the block falls. Assume that the radius of the cord around the pulley remains constant at a value of 0.040 m during the block’s descent. (a) Draw the free-body diagram showing the forces that act on the pulley. (6 points) (b) Draw the free-body diagram showing the forces that act on the block. (5 points) (c) Find the angular acceleration of the pulley. (7 points) (d) Find the tension in the cord. (7 points) Show all work and write your answer on your paper and upload it to Gradescope at the end of the exam.