Strings and Pulleys - Find the energy

AI Thread Summary
The discussion revolves around a physics problem involving three masses connected by strings over frictionless pulleys, focusing on calculating the speed of the lowest mass after it descends 2.0 meters. Participants are encouraged to consider the initial mechanical energy of the system and how it changes over time, using conservation of energy principles. The relationship between the speeds of the masses is emphasized, highlighting the importance of understanding how the taut and inextensible strings affect their motion. The conversation suggests a need for a clear setup of the problem, particularly in defining potential energy levels. This analysis ultimately aims to find the speed of m3 using energy concepts.
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Three objects with masses m1 = 7.0 kg, m2 = 10.0 kg, and m3 = 14.0 kg, respectively, are attached by strings over frictionless pulleys, as indicated in Figure P5.32. The horizontal surface is frictionless and the system is released from rest. Using energy concepts, find the speed of m3 after it moves down a distance of 2.0 m.
 
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Interesting problem!
Does it interest you sufficiently to do some work on your own?
 
I don't understand how to set it up.
 
Let for example the floor be the level of zero potential energy.
What is then the mechanical energy of the system initially, and how does that quantity develop over the time?

Since the strings are taut and inextensible, how must the speeds be related to each other?
 
hmm...consider COE
 
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