Solve Box on an Incline with Trig, Geom & Newtons Laws

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The discussion focuses on solving a physics problem involving a box on an incline using trigonometry, geometry, and Newton's laws. The user expresses confusion about applying Cartesian coordinates to the incline and understanding the normal force in relation to gravity's components. They note the importance of dividing the applied force into its x and y components, specifically mentioning the normal force. A participant corrects a misunderstanding regarding the calculation of the normal component. The conversation highlights the complexities of analyzing forces on an inclined plane.
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Homework Statement


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Homework Equations


Trigonometry
Geometry - Intersection on a Line
Physics - Newtons Laws


The Attempt at a Solution


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I am just lost. I move the Cartesian coordinates to the incline of the free body diagram to begin.I know that the normal force is perpendicular to the surface and that the force of gravity must be divided into its x and y components. Considering Newton's Third Law, the force applied to the incline by the gravity and person should equal to normal force that box experiences.

Thanks for reading, hope to hear by you soon.
 
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Divide also the applied force into its x (parallel to the slope) and y (normal to the slope) components. The normal component is not 110/tan(64°).

ehild
 
Ah, thank you! I can't believe I made that mistake every time.
 

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