How Does Horizontal Force Balance with Friction on an Inclined Plane?

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Homework Help Overview

The discussion revolves around a physics problem involving a block on an inclined plane, where a horizontal force is applied to maintain equilibrium. The subject area includes concepts of forces, friction, and equilibrium conditions in mechanics.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to identify the initial equations needed to analyze the forces acting on the block. Some participants suggest starting with a free-body diagram and breaking down gravitational force into components. Others question the approach to solving for the forces in both the x and y directions.

Discussion Status

The discussion is active, with participants providing guidance on the importance of free-body diagrams and equilibrium conditions. There is an ongoing exploration of how to set up the problem and what to solve for first, indicating a productive direction without reaching a consensus.

Contextual Notes

The original poster expresses uncertainty about the initial steps and equations, highlighting a need for clarification on the setup of the problem and the relationships between the forces involved.

ngorecki
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A 2.00 kg block is held in equilibrium on an incline of angle θ = 55° by a horizontal force, F. If the coefficient of static friction between block and incline is µ s = 0.300, determine
(a) the minimum value of F and
(b) the normal force of the incline on the block.

F = ma
Mu = Ff/Fn

I am having trouble starting out. I don't know what the initial equation should be. Could i get some hints?
 
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Always, always, always start with a free-body diagram. Have you done that yet?
 
I have done that.
And i changed gravity into the x and y components.
I am not sure what to solve for first/how to solve for it
 
The object is in equilibrium, so the net force in the x direction equals zero and the net force in the y direction equals 0. Now solve for that force F in the x and y direction to find its components.
 

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