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the pulley is massles and frictionless

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asked Sep 26, 2014 in AP Physics C by ang2014 (410 points)
reshown Sep 26, 2014 by PhysicsDude

1 Answer

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Question Body: The pulley is massless and frictionless attached to the ceiling. A massless inextensible string is attached to the masses Ma and Mb, where Ma > Mb . The tensions Ty, Tz, Tx, and the gravitational constant g are magnitudes.

First part: Ma>Mb so the system is going to accelerate counter-clock wise, Ma going down and Mb going up.

Therefore, ||T_y<M_ag|| and ||T_x>M_bg||.

With massless strings and pulley, the tension inside a single string is constant. ||Tx=T_y||.

Do a free body diagram of the top pulley. ||T_z=T_x+T_y||. Since the two blocks accelerate downward, ||T_x+T_y<M_ag+M_bg||.

The magnitude of acceleration along a single string is the same. So the two blocks will have the same acceleration in magnitude.
answered Sep 26, 2014 by PhysicsDude (21,750 points)
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