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I missed ap physics this morning and i'm not sure how to do this problem, any help would be awesome.

A mass m1= 30kg slides without friction on the horizontal surface being pulled by m2=80kg with a string over a frictionless pulley. The pulley is a thin cylindrical shell of mass M=10kg and radius R. The string turns the pulley without slipping. Find a) acceleration of each mass, b) the angular acceleration of the pulley, C) the tension in each part of the string.

2007-03-27 13:56:32 · 1 answers · asked by lpfanz89 1 in Science & Mathematics Physics

1 answers

Since the pulley is not slipping, assuming the stretch of the string is negligible, then the tangential acceleration of the pulley must be the same as the acceleration of the string. (If this doesn't make sense, then consider in a system where the mass was not accelerating but instead moving at a constant velocity, then the tangential velocity--the speed the pulley is turning at its radius--must also equal the velocity the block/string is moving at.)

Now, to find the acceleration of the system, you must not only consider the acceleration due to the force of gravity acting on m2, but also the acceleration needed to get the pulley rotating. (Just as inertia is the tendency of an object to resist moving, the moment of inertia is the tendency of the pulley to resist spinning.)

For reference:
I_disk = ½*m*r²
Angular acceleration: a=rα

2007-03-27 14:39:24 · answer #1 · answered by Brian 3 · 0 0

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