How Is Force Calculated in Trigonometric Free Body Diagrams?

AI Thread Summary
To calculate the perpendicular component of a 300 Newton force exerted at a 60-degree angle, trigonometric functions are used. The force forms a right triangle where the 300N force is the hypotenuse. The vertical component can be found using the sine function, specifically 300N * sin(60°). This results in a perpendicular force of approximately 260N. Understanding these trigonometric relationships is crucial for solving free body diagrams effectively.
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Homework Statement


a person is exerting 300 Newton force on the handle of a shovel that makes an angle of 60 deg with the horizontal ground. the component of the 300 newtion force that acts perpendicular to the ground is apporximately what?
possible answers+ 350N 150N 260N 300N

Homework Equations



??

The Attempt at a Solution


not really an attempt but 260N because the resultant would be longer than the component if you can give the Equation i could probly figure it out.
thanks
 
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It's just setting up trigonometric relations between the parallel/perpendicular components. The 300N force will form the "hypotenuse" of this right triangle.
 

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