Double Pulley Mechanics Problem

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SUMMARY

The double pulley mechanics problem involves two pulleys with masses of 4.1 kg and 6.9 kg, and a crate weighing 57.2 kg. The system is frictionless, and the rope is pulled at a 45-degree angle. To determine the minimum tension required to slowly raise the crate, one must consider the forces acting on both the crate and pulley 2, while ignoring pulley 1. The solution does not require torque calculations, only the application of Newton's second law to analyze the forces involved.

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  • Understanding of Newton's second law of motion
  • Basic knowledge of forces and tension in pulley systems
  • Familiarity with vector components of forces
  • Ability to create free-body diagrams
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  • Study the application of Newton's second law in multi-body systems
  • Learn how to resolve forces into their vertical and horizontal components
  • Explore free-body diagram techniques for analyzing pulley systems
  • Review introductory physics concepts related to tension in ropes
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the mechanics of pulley systems and force analysis in introductory physics contexts.

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Homework Statement


it is a double pulley problem, mass of pulley 1 is 4.1kg, mass of pulley 2 is 6.9kg and mass of crate is 57.2kg.
both pulleys are frictionless. the angle at which the rope is pulled is 45deg. What is the minimum tension with which the operator must pull on the cable (negligible mass) in order to slowly raise the crate?

Homework Equations


i was wondering if this was a torque problem of simply a one dimensional problem involving pulleys? also do we need to use Newtons second law?

The Attempt at a Solution


I tried ignoring the masses of the pulleys since we have not yet learn torque but the answer was wrong. however the radius of the pulleys are not given so i am not sure i can use torque for this problem?

Here is the image : https://s.yimg.com/hd/answers/i/ff7b49a654fb4768a4d9902f8dc5ac60_A.png?a=answers&mr=0&x=1413224583&s=0388b130543c86fed3259f977c0872ce
 
Last edited by a moderator:
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MissBisson said:

Homework Statement


it is a double pulley problem, mass of pulley 1 is 4.1kg, mass of pulley 2 is 6.9kg and mass of crate is 57.2kg.
both pulleys are frictionless. the angle at which the rope is pulled is 45deg. What is the minimum tension with which the operator must pull on the cable (negligible mass) in order to slowly raise the crate?

Homework Equations


i was wondering if this was a torque problem of simply a one dimensional problem involving pulleys? also do we need to use Newtons second law?

The Attempt at a Solution


I tried ignoring the masses of the pulleys since we have not yet learn torque but the answer was wrong. however the radius of the pulleys are not given so i am not sure i can use torque for this problem?

Here is the image : https://s.yimg.com/hd/answers/i/ff7b49a654fb4768a4d9902f8dc5ac60_A.png?a=answers&mr=0&x=1413224583&s=0388b130543c86fed3259f977c0872ce
I believe you can ignore pulley 1, as it is not being lifted, but you have to include pulley 2. Pulling on the cable lifts both the crate and pulley 2. The vertical component of the tension will be equal in magnitude to the downward force that comes from the crate and pulley 2. You need to figure out what the tension T is.

BTW, this is not an advanced physics problem, so I moved it to the Intro Physics section.
 
Last edited by a moderator:
No need for torques, just forces is enough.
Make a drawing with the forces working on the masses. Which ones have to be dealt with by the rope ?
 

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