Curious about Work done by Gravitational force

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SUMMARY

The discussion clarifies the relationship between gravitational force and the cosine function in the context of work done by gravity. The equation Wg = mgd cos(theta) is emphasized, highlighting that the angle's definition in relation to the right triangle's corners determines the use of cosine rather than sine. The participants agree that the reference frame does not dictate this relationship, but rather the specific configuration of the triangle in the free body diagram. This understanding resolves the initial confusion regarding the application of trigonometric functions in physics.

PREREQUISITES
  • Understanding of free body diagrams
  • Familiarity with the concept of work in physics
  • Knowledge of trigonometric functions, specifically sine and cosine
  • Basic grasp of gravitational force and its components
NEXT STEPS
  • Study the derivation of the work-energy principle in physics
  • Learn about the role of reference frames in physics problems
  • Explore advanced applications of trigonometry in physics
  • Investigate the implications of gravitational force in different contexts, such as inclined planes
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding the mathematical relationships in gravitational force applications.

Selectron09
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Homework Statement


I don’t understand why this would relate to cosine and not sine, if gravity is often assiciated in the up and down part of a free body diagram.

Homework Equations

Wg=mgdcos(theta)[/B]

The Attempt at a Solution


Is it because it would depend on your reference frame?
 
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Hi Selectron09,

Welcome to Physics Forums.

Selectron09 said:
Is it because it would depend on your reference frame?
Not really. It depends upon how the angle in question is defined; which "corner" of the right angle triangle is located with respect to the leg that represents your ##mgd##.

upload_2018-10-27_12-37-55.png
 

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Oh! Ok that clears things up a lot. Thankyou.
 

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