Frictionless Multiple Body Problem with Inclined planes

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SUMMARY

The discussion focuses on solving the Frictionless Multiple Body Problem involving two blocks, m1 = 7.6 kg and m2 = 10.7 kg, connected by a rope over a frictionless peg. The primary goal is to determine the acceleration of the blocks and the tension in the rope. Key concepts include the application of Newton's second law (F=ma) and the understanding of tension as a force acting equally on both ends of the rope, assuming the rope's mass is negligible.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Knowledge of free-body diagrams (FBDs)
  • Concept of tension in ropes and pulleys
  • Basic principles of inclined plane physics
NEXT STEPS
  • Calculate the acceleration of the blocks using F=ma with the resolved forces from the FBDs.
  • Explore the concept of tension in detail, particularly in systems with pulleys.
  • Review inclined plane physics and how to resolve forces on an incline.
  • Practice similar problems involving multiple bodies and frictionless surfaces.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone studying mechanics, particularly those focusing on dynamics involving multiple bodies and inclined planes.

jennak314
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Homework Statement


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An m1 = 7.6 kg block and an m2 = 10.7 kg block, connected by a rope that passes over a frictionless peg, slide on frictionless incline. Find acceleration of boxes and tension of the rope.

Homework Equations


F=ma
I'm not sure what else

The Attempt at a Solution


I'm really not sure where to start... I drew a free-body diagram and resolved the perpendicular/parallel components of each weight vector. Do I find the net of those two forces? How does tension work? (that concept still confuses me in general)
 
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jennak314 said:
How does tension work?
Tension acts as a force pulling the block towards the rope and, equally, the string towards the block.
You are not given a mass for the rope, so assume it is negligible. This means that despite the rope's accelerating the net force on it is effectively zero. This means you can assume the tension is the same at both ends of the rope.
Please post the equations you have from your FBDs. Try to assign unique symbols to each different force etc.
 

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