Need help with mechanics statics; finding resultant force

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SUMMARY

The discussion focuses on resolving forces in mechanics statics using vector algebra. The user is attempting to find the resultant force by drawing a parallelogram and is struggling with the angles involved. Two equations are provided to solve for the unknown force F, utilizing horizontal and vertical components. The discussion emphasizes the importance of understanding sine and cosine functions, specifically sin15° and cos15°.

PREREQUISITES
  • Understanding of vector algebra
  • Knowledge of trigonometric functions, specifically sine and cosine
  • Familiarity with mechanics statics concepts
  • Ability to solve simultaneous equations
NEXT STEPS
  • Study the principles of vector resolution in mechanics
  • Learn how to apply trigonometric functions in physics problems
  • Practice solving simultaneous equations in mechanics contexts
  • Explore graphical methods for vector addition and resultant forces
USEFUL FOR

Students studying physics, particularly those focusing on mechanics statics, as well as educators and tutors looking to reinforce concepts of vector resolution and force analysis.

byakkoshe
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Hi! Can anyone help me with these problems? When I try to draw a parallelogram, I couldn't find the angles. Please help.

http://imageshack.com/a/img673/8733/GsXt9f.jpg
http://imageshack.com/a/img910/1949/1AB7iB.jpg
 
Last edited by a moderator:
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For 2-3
Take horizontal or vertical components. There are two variables.
Along horizontal
Fcosø- 700 cos15°=0
and along vertical
700 sin15° - F sinø= 500
2 variables , 2 equations. Hope you can solve.
Hope you know sin15° and cos15°. May have learned in Maths classes.
Why you removed the template? Violating rule of PF.
Guess you are new, so may not have read rules but take care in future
 
It is vector algebra. You can do ordinary addition to vectors of same direction. So try to resolve the vectors into x and y components and do ordinary math on them.
 

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