Atwood machine

# Atwood machine - For A For B Solve for T But A and B travel...

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Atwood’s Machine Atwood’s Machine consist of a pulley, rope, and two bodies, A and B with weights W and W + w respectively. To analyze the motion, draw a FBD for each body and find the forces and accelerations. Assume that the x direction is positive upwards. The displacements of the two bodies are x A and x B . Note that the masses are m A = W/g , m B = (W + w)/g where g is the magnitude of the gravitational constant.

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Unformatted text preview: For A) For B) Solve for T: But A and B travel in opposite directions, so => Correspondingly, This system has constant magnitude acceleration, which is much less than g. Body A is accelerating upward, body B is accelerating downwards. Atwood (1746-1807) used this for illustrating slowed down free fall. See, for example: http://hyperphysics.phy-astr.gsu.edu/hbase/Atwd.html...
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## This note was uploaded on 03/27/2012 for the course MIE 310 taught by Professor Corradopoli during the Spring '08 term at UMass (Amherst).

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Atwood machine - For A For B Solve for T But A and B travel...

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