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Dec 2, 2008

Lecture Example P. 75

For the problem on page 75 in our lecture notes, what is the numerical value for delta s that is used when computing the work for the system? I think its either the ten inches the drum drops or its the amount of cord that gets wrapped around the drum as it drops. Thanks

2 comments:

812rbruins said...

Shouldn't they be equal to eachother? The change in distance it rolls should also be the change in rope length.

CMK said...

Note that the point of contact of the drum with the incline (call it C) is a no-slip point; therefore C is the IC for the drum. Since the point where the cord comes of the drum (call this point D) is twice as far from point C as is point O, D moves twice as fast as point O. Therefore, D moves twice as far as O over any given period of time.

Summary: If point O moves 10 inches down the incline, then the end of the cord moves 20 inches down the incline. The work done by P is NEGATIVE.