Forces and Pulleys of two blocks

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SUMMARY

The discussion focuses on a physics problem involving two blocks connected by a rope over massless pulleys, with weights of 412N and 908N. The key questions involve calculating the acceleration of the lighter block and understanding the differences in acceleration when the heavier block is removed and a downward force of 908N is applied. The solution approach includes using force diagrams and applying Newton's second law (F = ma) to derive the equations for each block, ultimately leading to the determination of acceleration values.

PREREQUISITES
  • Understanding of Newton's second law (F = ma)
  • Basic knowledge of forces and weight calculations
  • Familiarity with force diagrams and free-body diagrams
  • Concept of tension in ropes and pulleys
NEXT STEPS
  • Learn how to draw and analyze free-body diagrams for complex systems
  • Study the principles of tension in ropes and its effects on acceleration
  • Explore the differences in dynamics when external forces are applied
  • Investigate the effects of friction in pulley systems and how it alters calculations
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of force and motion problems involving pulleys and blocks.

Cheddar
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Homework Statement


Two blocks are connected by a rope that passes over a set of pulleys. One block has a weight of 412N and the other has a weight of 908N. The rope and the pulleys are massless and there is no friction. (a) What is the acceleration of the lighter block? (b) Suppose that the heavier block is removed, and a downward force of 908N is provided by someone pulling on the rope. Find the acceleration of the remaining block. (c) Why are the answers in (a) and (b) different?

Homework Equations


weight = mass * acceleration(gravity)


The Attempt at a Solution


So mass = 42.0 kg for the smaller black and mass = 92.7 kg for the larger block.
This is as far as I get.
 
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If I were you, I would draw a force diagrams for each block. These kinds of problems can get really confusing if you don't sort out what forces are going where.
 
Cheddar said:
Two blocks are connected by a rope that passes over a set of pulleys. One block has a weight of 412N and the other has a weight of 908N. The rope and the pulleys are massless and there is no friction. (a) What is the acceleration of the lighter block?

Hi Cheddar! :smile:

Call the tension T, do two F = ma equations, one for each block, and then eliminate T. :wink:
 

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