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Pulley System with Rotational Inertia PHY 2048C Cumulative F…

Posted byAnonymous July 22, 2026July 22, 2026

Questions

Pulley System with Rоtаtiоnаl Inertiа PHY 2048C Cumulative Final Examinatiоn Points: 10 Suggested Time: 20–25 minutes Instructions: Show all work. Begin each derivation with an appropriate physics principle. Clearly define any additional symbols you introduce. Block 1 of mass m1 rests on a frictionless incline of angle θ. It is connected by a light cord over a pulley to a hanging block of mass m2. The pulley has radius R and moment of inertia I. The cord does not slip on the pulley. Assume block 2 moves downward and block 1 moves up the incline. Tasks Part A. Write Newton's second-law equation for each block and the rotational equation for the pulley.Part B. Derive the magnitude of the acceleration a of the system.Part C. Determine the two cord tensions T1 and T2.Part D. Starting from rest, determine the speed v of the blocks after block 2 descends a distance s. You may use either Newton's laws or conservation of energy.

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