Solving Force & Mass Problem on an Inclined Plane

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SUMMARY

The discussion centers on calculating the force exerted on a 3.0 kg block by a 1.8 kg block on a frictionless inclined plane, with an external force of 29 N applied. Participants clarify that the force vectors must originate from the object they act upon, emphasizing the need to consider gravitational components and the system's acceleration. The conclusion is that the net force on the 3.0 kg block can be determined by accounting for the gravitational force and the interaction with the 1.8 kg block, leading to a clear understanding of the dynamics involved.

PREREQUISITES
  • Understanding of Newton's Second Law (F=MA)
  • Knowledge of force vector representation
  • Familiarity with gravitational force components on inclined planes
  • Basic principles of system acceleration in multi-block scenarios
NEXT STEPS
  • Study the dynamics of inclined planes in physics
  • Learn about force vector decomposition in two dimensions
  • Explore the concept of net force in multi-body systems
  • Review examples of frictionless motion and its implications
USEFUL FOR

Students studying physics, particularly those tackling problems involving forces on inclined planes, as well as educators looking for clear explanations of force interactions in multi-block systems.

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Homework Statement


Diagram.png


The surface of an inclined plane shown below is frictionless. if F= 29N, what is the magnitude of the force exrted on the 3.0-kg by the 1.8kg block?


Homework Equations


I suppose F=MA



The Attempt at a Solution


I'm utterly confused here. The equation I have for force doesn't factor in angles, there may be a variation of the force equation that I do not know of. I don't have the acceleration of block 3.0kg needed to find the force using the information given. I'm assuming it'd be acceleration due to gravity at an angle perpendicular to the inclined plane but I'm not sure.
 
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Where did you get that problem from?

There is a misconception in it I think... if I try and figure out what it is supposed to be, there is like 5 different possibilities.

The problem is that force vectors are supposed to be drawn like this:
http://dev.physicslab.org/img/cade9de5-204f-483b-aece-44f2b017eda3.gif

see how all of the force vectors originate AT the object the force is applied to and move out? You don't just have naked force vectors like the one in your diagram.

I don't know if it's the net force or an external, and in both cases we still don't know if the force is applied to the 4.8kg block system, or the 1.8kg block.I am guessing that the most likely case is that it is an external force being applied to the 1.8kg block only. which should instead be drawn such that the beginning of the vector is in the center of the 1.8kg block.

Then you will have the 29N force on the 1.8kg block along with the component of the gravitational force on the 1.8kg block plus the force of the 3kg block pushing it down.

Then just exploit the fact that all blocks will have the same acceleration (the 3kg block, the 1.8kg block, and the 4.8kg block system) to find the net force on the 3kg block. but that includes gravity, so subtract the force of gravity that was acting on it and what you are left with is the force of the 1.8kg block acting on the 3kg block.
 
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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