STATICS: Applying Force Equilibrium

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SUMMARY

The discussion focuses on solving a static equilibrium problem involving a ball of weight W, an inclined surface, and a compressed spring. Participants emphasize the importance of constructing a Free Body Diagram (FBD) to analyze the forces acting on the ball. The solution involves applying the equilibrium condition where the sum of forces in both the x and y directions equals zero, utilizing trigonometric functions to express the normal force and spring force in terms of the weight W. The initial confusion was resolved through community guidance, leading to a successful understanding of the problem.

PREREQUISITES
  • Understanding of Free Body Diagrams (FBD)
  • Knowledge of static equilibrium principles
  • Familiarity with trigonometric functions (sine and cosine)
  • Basic concepts of forces and weight in physics
NEXT STEPS
  • Study the principles of static equilibrium in physics
  • Learn how to construct and analyze Free Body Diagrams (FBD)
  • Explore applications of trigonometric functions in physics problems
  • Review examples of inclined planes and spring forces in mechanics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, engineers dealing with static systems, and educators teaching force equilibrium concepts.

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The ball of weight W is held in place as shown in the left figure by the inclined surface and the compressed spring. The FBD of the ball is shown in the right figure.
Determine the force exerted by the spring on the ball, and the force exerted by the inclined surface on the ball in terms of the weight, W, of the ball.

How would this problem be solved?
I have the FBD, I'm just unsure of the first step!
 

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The sum of the forces in x and y=0. So for example w is only affecting the sum in y, and s only in x. You would have to find the angle of the normal force and then you can express everything with cosines and sines. Give it a try, and if you don't have a clue just yet, post another message here with what you have done so far.
 
I was thinking about the problem wrong. Thank you for your guidance! I was able to figure it out.
 

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