Force on a Frictionless Surface

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SUMMARY

The discussion centers on calculating the forces acting on a crate of mass 111 kg being pushed up a frictionless ramp at a 30° angle. The horizontal force required to maintain constant speed is determined to be 628.67 N. Additionally, the normal force acting on the crate is calculated to be approximately 1257.36 N. Participants emphasize the importance of free body diagrams in visualizing the forces and confirm that the crate is not accelerating, leading to a net force of zero.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of free body diagrams
  • Familiarity with trigonometric functions in physics
  • Basic concepts of forces on inclined planes
NEXT STEPS
  • Study the application of Newton's second law in two dimensions
  • Learn how to resolve forces into components on inclined planes
  • Explore the concept of normal force in various scenarios
  • Review frictionless surface dynamics and their implications in physics problems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and force analysis, as well as educators seeking to enhance their understanding of inclined plane problems.

tjbateh
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Homework Statement


In the figure, a crate of mass m = 111 kg is pushed at a constant speed up a frictionless ramp (θ = 30°) by a horizontal force F . The positive direction of an x-axis is up the ramp, and the positive direction of a y-axis is perpendicular to the ramp. (a) What is the magnitude of F ? (b) What is the magnitude of the normal force on the crate?


Homework Equations





The Attempt at a Solution



For part A, I got 628.67 N which is correct.

I do not have part B, but I do have some other information that I found, which is correct.

Gravitational Force along x-axis is -544.455 N

Fx component of the applied force is 544.45 N

Fy component of the applied force is -314.341 N

Y component of the gravitational force is -943.023 N

Acceleration components are zero.

And the normal force of the crate is in the positive direction of the y-axis.

Anybody know how to get part B?
 
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tjbateh said:

Homework Statement


In the figure, a crate of mass m = 111 kg is pushed at a constant speed up a frictionless ramp (θ = 30°) by a horizontal force F . The positive direction of an x-axis is up the ramp, and the positive direction of a y-axis is perpendicular to the ramp. (a) What is the magnitude of F ? (b) What is the magnitude of the normal force on the crate?Anybody know how to get part B?
Do a free body diagram for the crate. Is the crate accelerating? What does that tell you about the net force (the sum of all forces) acting on the crate? You know the gravitational force and horizontal force F. Is there any other force besides the normal force of the ramp on the crate?

AM
 
No, there is just the normal force. I got the normal force to be 1257.36 I believe.
 

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