2 masses on an inclined plane, one unknown mass needs to be found

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SUMMARY

The discussion focuses on solving a physics problem involving two masses on an inclined plane, where one mass is known (10 kg) and the other is unknown. The friction coefficient (μ) is set at 0.25 for both masses. The user seeks to determine the magnitude of the unknown mass (M) under two scenarios: when the 10 kg mass slides down and when it slides up the plane. Key calculations involve the gravitational force components, specifically mgsin(θ) and mgcos(θ), which need to be accurately computed to progress in the solution.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of inclined plane physics
  • Familiarity with friction coefficients and their implications
  • Ability to perform vector decomposition of forces
NEXT STEPS
  • Review the principles of inclined plane dynamics
  • Learn how to apply Newton's second law to systems with multiple masses
  • Study the effects of friction on motion in physics
  • Explore problem-solving techniques for connected mass systems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and inclined planes, as well as educators looking for examples of mass interaction problems.

oconnc59
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Homework Statement


see attached diagram, one mass is given at 10 kg while the other is unknown. The friction is given an (mu)=0.25 for both masses


Homework Equations


i need to find Magnitude of M for when the 10KG Mass slides down the plane and again for when the 10KG mass slides up the plane



The Attempt at a Solution


on the 10kg mass
mgsin(thetha)=49.05
mgcos(thetha)=84.96

I don't know where to go from here, I am really stuck with this can anyone help please?

On the Unknown Mass
mgsin(thetha)=8.5m
mgcos(thetha)=4.905m
 

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It would be appreciated if you didn't post diagrams as MS Word files. There's a whole list of image formats which are much better for this sort of thing.

From your diagram (at least, as well as I can make out - it came through rather distorted), I can't see what the unknown mass M has to do with anything. Is there some information in the problem you're not telling us? Are the two masses connected by a string, perhaps?

Also, when you calculate the components of the gravitational force, make sure you have the correct units. (You don't in the post above)
 

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