Mechanics - massive pulley, Atwood machine or similar

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SUMMARY

The discussion focuses on the mechanics of a massive pulley system, specifically in relation to the Atwood machine. It establishes that differences in tension within the cable occur due to the mass of the pulley and the effects of friction, particularly in scenarios involving acceleration and jerk. The tension is highest at the end being pulled and decreases towards the free end of the cable, emphasizing the importance of considering the mass of the cable in these calculations.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with tension in cables and pulleys
  • Basic knowledge of friction and its effects on motion
  • Concept of acceleration and its impact on force distribution
NEXT STEPS
  • Study the mechanics of the Atwood machine in detail
  • Learn about the role of friction in pulley systems
  • Explore mathematical modeling of tension in cables
  • Investigate the effects of acceleration on force distribution in mechanical systems
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Physics students, mechanical engineers, and anyone interested in understanding the dynamics of pulley systems and tension in cables.

iloveannaw
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hi,

why does a massive pulley cause different tensions in a length of cable? I've looked for answers but got only that "the pulley needs to be lifted". Couldn't really picture it. Some maths would be nice :smile:

cheers!
 
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It would seem that differences in tension would require friction in the wheels in a constant velocity situation. You could also have differences in tension during periods of jerk where the rate of force change travels as the speed of sound through the cable.

In the case of acceleration, imagine that the cable is a single length of cable in space, and being pulled at one end to accelerate it. The amount of tension will be highest at the pulled end and lowest at the free end. If you ignore the mass of the cable, then this effect does not exist.
 

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