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23 Nov 2019

Two crates of mass m1=15kg. and m2=25 kg. are connected by a cablethat is strung over a pulley of mass m(pulley)=20 kg. Crate m1 issituated initially at rest on the end of a table. The pulley issecured on the edge of the table and crate m2 is hanging freely fomthe cable over the pulley secured to m1.
a). Express Newton's second law for the crates (translationalmotion) and for the pulley (rotational motion)?
b). The linear acceleration, a, of the crates, and the angularacceleration, alpha, of the pulley, and the tensions in the rightand left portions of the rope are unknowns. What is the relationbetween a and alpha?
c). Find the accelation of the crates?
d). Find the tensions in the right and left portions of the cable?

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