Calculating Resultant Force from Two Forces at a Point

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SUMMARY

The discussion focuses on calculating the resultant force from two forces, F1 and F2, acting at a point. F1 has a magnitude of 9.80 N at an angle of 65.0 degrees above the x-axis, while F2 has a magnitude of 5.00 N at an angle of 52.3 degrees below the x-axis. The correct approach involves calculating both the x and y components of each force using the equations Fcos(θ) for the x-component and Fsin(θ) for the y-component. The resultant force's magnitude is determined using the formula √(X-comp² + Y-comp²).

PREREQUISITES
  • Understanding of vector components in physics
  • Familiarity with trigonometric functions (sine and cosine)
  • Knowledge of force vectors and resultant forces
  • Ability to perform calculations involving angles in different quadrants
NEXT STEPS
  • Calculate the x-component of F2 using F2cos(180 + 52.3)
  • Calculate the y-component of F2 using F2sin(180 + 52.3)
  • Sum the x-components of both forces to find the total x-component
  • Sum the y-components of both forces to find the total y-component
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Students studying physics, particularly those focusing on mechanics and vector analysis, as well as educators teaching force vector calculations.

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Homework Statement


Two forces, F1 and F2, act at a point. The magnitude of F1 is 9.80 , and its direction is an angle 65.0 above the x-axis in the second quadrant. The magnitude of F2 is 5.00 , and its direction is an angle 52.3 below the x-axis in the third quadrant.

What is the x-component of the resultant force?




What is the y-component of the resultant force?




What is the magnitude of the resultant force?

Homework Equations


Fcos(\vartheta) for X-component

Fsin(\vartheta) for y-component

\sqrt{X-comp^{}2/y-comp^{}2}

The Attempt at a Solution



I take
9.8*Cos(180-65) for X-component but that's wrong

what else should I try.
Thanks a lot.
 
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there's 2 forces, why did you only calculate the x-component of the one force. It wants the sum of the x components of both forces.
 
This is just what I started on. If I don't get this part right then I won't be able to get the rest right.
 

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