How Do You Calculate Tension in a Rope Pulling Gliders?

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SUMMARY

The discussion focuses on calculating the tension in ropes pulling two gliders (310 kg and 260 kg) by a plane weighing 2200 kg, accelerating at 1.9 m/s². The user attempts to determine the tension forces in the ropes by analyzing the net forces acting on the system. They suggest using Free Body Diagrams (FBDs) for each glider and the plane to visualize the forces involved. The proposed diagram accurately represents the system, indicating the direction of motion and the connections between the gliders and the plane.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Familiarity with Free Body Diagrams (FBDs)
  • Basic knowledge of force calculations and net force
  • Concept of tension in ropes and pulleys
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  • Study the application of Newton's Second Law in multi-body systems
  • Learn how to construct and analyze Free Body Diagrams (FBDs)
  • Research tension calculations in rope systems with multiple masses
  • Explore dynamics of systems involving pulleys and connected bodies
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Physics students, engineering students, and anyone interested in understanding dynamics and tension calculations in mechanical systems involving multiple objects.

bobber205
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There's a plane pulling two gliders. The first glider is 310 kg while the second glider is 260 kg. The place itself it 2200 kg and is pulling at 1.9 m/s squared.
I need to figure out the tension of the first rope and the second rope. I found the net force on the first plane by taking the total Newton value for both the first glider and the plane and subtracting the mass of the second glider times 1.9

I Thought this would give the tension force of the rope.


Homework Equations





The Attempt at a Solution



What's a good FBD for this?
Here's what I thought it was

<--------- ---> ---->
gliders rope plane

Any help? :)
 
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Is this a correct diagram:

G1-----G2-----P →

where
G1 and G2 are the gliders
P is the plane
----- are the ropes
everything is moving to the right (shown by arrow to right of P)


If that diagram is correct, I would draw 3 separate FBD's for each glider and plane and take it from there.
 

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