Frictionless Multiple Body Problem with Inclined planes

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The discussion focuses on solving a physics problem involving two blocks on frictionless inclined planes connected by a rope over a frictionless peg. The goal is to determine the acceleration of the blocks and the tension in the rope. Participants emphasize the importance of drawing free-body diagrams and resolving the forces acting on each block. Tension is clarified as a force that pulls the block towards the rope and vice versa, with the assumption that the rope's mass is negligible. The conversation encourages posting equations derived from the free-body diagrams for further assistance.
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.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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