Compare Mass-Pulley Frictionless Slope

AI Thread Summary
To determine the mass comparison for objects on frictionless slopes at 60 and 30 degrees, it is essential to analyze the forces acting on each mass using free body diagrams. The forces should be resolved into components parallel and perpendicular to the slopes, allowing for a clearer understanding of the tension and normal forces involved. By rewriting the forces in this manner, the relationship between the masses can be established without sliding. The discussion emphasizes the importance of correctly identifying and calculating these forces to solve the problem. Understanding these dynamics is crucial for finding the solution.
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Homework Statement


If the left-hand slope in the figure makes a 60 degree angle with the horizontal, and the right-hand slope makes a 30 degree angle, how should the masses compare if the objects are not to slide along the frictionless slopes?

Express your answer using two significant figures.

Homework Equations



besides degrees of the angles, I am stuck on how to go about the problem. Any hints is appreciated. =]

The Attempt at a Solution



physics-2.png


Added both F.B.D:
tension-1.png


tension1.png
 
Last edited:
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Draw a free body diagram for each block.
 
frogjg2003 said:
Draw a free body diagram for each block.

Okay They are added. May you take a look and see if I am in the right direction?
 
Close, rewrite the forces in terms of their components parallel to and perpendicular to the slope. This leaves the normal forces only in the perpendicular directions, and the tension only in the parallel direction.
 
frogjg2003 said:
Close, rewrite the forces in terms of their components parallel to and perpendicular to the slope. This leaves the normal forces only in the perpendicular directions, and the tension only in the parallel direction.

oh okay I think I know what to fix. Thanks!
 
You're welcome.
 

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