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A special pulley has two hubs where two different strings wrap around either hub. The pulley has total moment of inertia...

A special pulley has two hubs where two different strings wrap around either hub. The pulley has total moment of inertia I= 1.6 kg m^2. The smaller hub has radius r1=8cm, and the string wrapped around this hub connects to the mass m1= 200kg. This mass rests on a frictionless plane incline at angle 0=30. The second string wraps around the larger hub with radius r2=25cm and connects to a freely hanging mass m2=25 kg.

Determine the angular acceleration of the pulley and sense of rotation once the system is allowed to move freely. The string do not slip on their respective hubs.

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