Finding X and Y components of forces

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SUMMARY

The discussion focuses on calculating the X and Y components of forces in an equilibrium experiment involving pulleys and weights. Participants clarify that the components can be derived using trigonometric functions based on the angle of application. Specifically, the X component is calculated as F*cos(θ) and the Y component as F*sin(θ), where F is the magnitude of the force in Newtons and θ is the angle. The example given uses a force of 2.25 N at an angle of 50 degrees to illustrate these calculations.

PREREQUISITES
  • Understanding of basic trigonometry, specifically sine and cosine functions.
  • Familiarity with Newton's laws of motion and force concepts.
  • Knowledge of equilibrium conditions in physics.
  • Experience with vector decomposition in physics.
NEXT STEPS
  • Study vector decomposition techniques in physics.
  • Learn about equilibrium conditions and their applications in mechanics.
  • Explore advanced trigonometric applications in force analysis.
  • Review practical experiments involving pulleys and weights to reinforce concepts.
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Students in physics courses, educators teaching mechanics, and anyone involved in experimental physics or engineering who needs to understand force components in equilibrium systems.

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So I did an equilibrium experiment using pulleys and weights, where we set up different weights at different angles and had to get the right angle and weight to make the ring in the middle be centered. I am suppose to find the X and Y components of the forces. I am sort of confused on which components are the X and Y. The magnitude is in Newtons so I think I have to use that magnitude to find the X and Y components? I also have an angle so would my components be something like 2.25Nxcos(50.0°)=x and 2.25Nxsin(50°)=y?
 
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azn4lyf89 said:
So I did an equilibrium experiment using pulleys and weights, where we set up different weights at different angles and had to get the right angle and weight to make the ring in the middle be centered. I am suppose to find the X and Y components of the forces. I am sort of confused on which components are the X and Y. The magnitude is in Newtons so I think I have to use that magnitude to find the X and Y components? I also have an angle so would my components be something like 2.25Nxcos(50.0°)=x and 2.25Nxsin(50°)=y?

The angle is taken relative to an axis. If you are choosing the x-axis and your angle is at the origin, and positive angle is in the first quadrant ... then the x component is F*cosθ - adjacent/hippopotamus and the rise in y will be given by F*Sineθ - opposite/hippo.
 

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