Find the man's tension pulling the rope

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SUMMARY

The discussion centers on calculating the tension in a rope under specific conditions, with the total elastic force equating to 1000N and kinetic friction calculated at 200N. The tension in the rope is confirmed to be 200N, equal to the friction force. Additionally, the conversation touches on the concept of mechanical advantage, highlighting that it can be derived from both levers and pulley systems, emphasizing the importance of understanding these principles in physics.

PREREQUISITES
  • Understanding of basic physics concepts, specifically tension and friction.
  • Familiarity with mechanical advantage and its applications in levers and pulleys.
  • Knowledge of force diagrams and how to represent forces visually.
  • Basic grasp of angular momentum and its relation to mechanical systems.
NEXT STEPS
  • Study the principles of mechanical advantage in detail, focusing on levers and pulley systems.
  • Learn how to create and interpret free body diagrams to visualize forces.
  • Explore the calculations involved in angular momentum and its applications in mechanics.
  • Investigate the relationship between tension, friction, and force in various mechanical systems.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the mechanics of tension and mechanical advantage in systems involving ropes, levers, and pulleys.

Adam Hanns F A Cong
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Homework Statement
Ignore the mass of the rope and the pulley,frictional force between the man and the board, the board and ground. Now the man is pulling the rope in order to make him and the board move to the right uniformly. Find the man's tension of pulling the rope.
I got a wrong answer.
Could you please explain the pulley's principle in moment of the force or (angular) momentum?
Relevant Equations
The gravity G_1 of the man is 600N,the gravity G_2 of the board is 400N. The coefficient of the kinetic friction μ both between the man and the board,the board and ground is 0.2.
The elastic force of the board,N=G_1+G_2=1000N.
The kinetic friction f=μN=200N.
The tension T=f=200N.
IMG_20240207_220031.jpg
 
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You need to show the forces on your diagram.

PS have you heard the term mechanical advantage?
 
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You mean like it? Forgive my ignorance,please. I may not know term mechanical advantage. Do you mean the next fig.2? I learnd that it comes from the level principle,and the level seems that it comes from the moment force or (angular) momentum,but I don't know how to find the momentum or radius vector.
IMG_20240208_001356.jpg
view.jpeg
 
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Tension is a two-way force in a rope.

A lever is not the only example of mechanical advantage. Sometimes you can use a pulley system!
 
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Thank you.😊
I learned pulley system two years ago at junior high,but I am not good analyse it.
All in all, thanks for your help!😸
 

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