Compare Mass-Pulley Frictionless Slope

In summary, the question involves finding the appropriate masses for objects on frictionless slopes with given angles. The solution requires drawing free body diagrams and rewriting forces in terms of their components parallel and perpendicular to the slope.
  • #1
warnexus
90
0

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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  • #2
Draw a free body diagram for each block.
 
  • #3
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?
 
  • #4
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.
 
  • #5
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!
 
  • #6
You're welcome.
 

Related to Compare Mass-Pulley Frictionless Slope

1. What is the concept of a Mass-Pulley Frictionless Slope?

The Mass-Pulley Frictionless Slope is a physical system consisting of a mass attached to a pulley, which is connected to a slope with no friction. The system is used to study the effects of gravity and mass on an inclined surface.

2. How is the mass of the object related to the acceleration of the system?

According to Newton's Second Law, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. In the case of a Mass-Pulley Frictionless Slope, the mass of the object affects the acceleration of the system as it moves down the slope due to the force of gravity.

3. What is the significance of having a frictionless slope in this system?

A frictionless slope eliminates the force of friction, allowing the system to only be affected by the force of gravity. This simplifies the analysis and calculations of the system and allows for a more accurate study of the effects of mass and gravity on an inclined surface.

4. How does the angle of the slope affect the acceleration of the system?

The angle of the slope has a direct impact on the acceleration of the system. As the slope becomes steeper, the acceleration increases due to the increased force of gravity acting on the mass. As the slope becomes less steep, the acceleration decreases accordingly.

5. Can the Mass-Pulley Frictionless Slope be used to determine the coefficient of friction?

No, the Mass-Pulley Frictionless Slope does not account for the force of friction, so it cannot be used to determine the coefficient of friction. A system with friction, such as a block sliding down a rough incline, would be needed to determine the coefficient of friction.

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