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

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SUMMARY

The discussion focuses on solving a physics problem involving a box on an incline, utilizing trigonometry, geometry, and Newton's Laws. The participant correctly identifies that the normal force is perpendicular to the incline and that gravitational force must be resolved into its x and y components. They emphasize the application of Newton's Third Law, stating that the force exerted by gravity and the person on the incline equals the normal force experienced by the box. A critical error noted was the incorrect calculation of the normal component, which is not 110/tan(64°).

PREREQUISITES
  • Understanding of trigonometric functions and their applications in physics.
  • Familiarity with Newton's Laws of Motion, particularly the Third Law.
  • Basic knowledge of geometry, specifically regarding intersections on a line.
  • Ability to resolve forces into components in a Cartesian coordinate system.
NEXT STEPS
  • Study the application of trigonometric functions in physics problems, focusing on inclined planes.
  • Learn how to resolve forces into their x and y components effectively.
  • Review Newton's Laws of Motion with practical examples involving inclined surfaces.
  • Explore geometric principles related to intersections and their relevance in physics.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone involved in solving mechanics problems, particularly those related to inclined planes and force analysis.

Ainulph
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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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