Question

Please answer the questions ASAP

2. Consider a pulley of rotational inertial, and mass M with a cord wrapped around it attached to a mass m as shown in the figure. The pulley has outer radius R and the cord is wrapped around a spindle of radius r. a) Draw free-body diagrams for both the pulley and mass m, and establish a coordinate system for the mass m and a positive sense of rotation for the pulley. b) For each object write down equations which express Newton's second law. c) Assuming that m, M, and I are given, how many unknowns do the equations of part (b) involve? Can the accelerations be determined on the basis of these equations alone? d) How is the linear velocity of the descending mass related to the angular velocity of the pulley? Does a similar result hold for the respective linear and angular accelerations? e) Use the results of parts (d) and (b) to solve for the acceleration of the mass m.

Answer 1

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