Please help me with all parts of the question and show all of your work.

14. A student designs an experiment in which a mass (m) attached to a one-meter-long string is wrapped around a pulley of mass M2] kg and radius R=0.1 in and dropped. The pulley includes a sensor which measures and records its rotational velocity. The mass is dropped from rest and the nal rotational velocity of the pulley as Well as the time the mass is in the air is measured. Data is shown in the table below. mung) 0.2 ___ 0.4 __ __ ___ __ (a) Complete the table above by calculating the angular acceleration for each of the hanging masses. (b) Plot the angular acceleration vs. the hanging mass. Make sure to label all axes appropriately. (c) Using your plot, estimate the angular acceleration of the pulley for a hanging mass of 5003. (d) Assume the sensor which measures the rotational velocity of the pulley breaks. Explain how you could ac- complish this experiment without using the sensor. (e) Estimate the time it will take for a 500g mass attached to the string to fall all the way through the pulley. Show all work