C: Finding Resultant Forces at an Angle

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To solve this problem, you can use the formula c2 = a2 + b2 - 2ab cosC to find the resultant of the two forces, which is the magnitude of the combined force. Next, you can draw a vector diagram and use trigonometric functions to find the components of the second vector in the y and x direction. Adding the x components will give you the x component of the resultant, and the y component of the resultant can be found by using the Pythagorean theorem.
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coolone_888
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Forces of 67.2lb and 57.3lb are exerted at an angle of 47 degrees. What is their resultant?
 
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coolone_888 said:
Forces of 67.2lb and 57.3lb are exerted at an angle of 47 degrees. What is their resultant?
Show us what you have done first. How do you add these forces?

AM
 
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well i know you use c2=a2+b2-2ab cos C. but then I am not sure what to do next.
 
  • #4
coolone_888 said:
well i know you use c2=a2+b2-2ab cos C. but then I am not sure what to do next.
Draw a vector diagram. Place one vector along the x axis. The other 47 degrees from the axis with its tail on the head of the first. Draw the resultant. What is the component of the second vector in the y direction? What is its component in the x direction? Add the x components to get the x component of the resultant. What is the y component of the resultant?

AM
 

FAQ: C: Finding Resultant Forces at an Angle

What is the definition of resultant?

The resultant is the overall or net effect of two or more forces acting on an object. It is the vector sum of all the forces.

How do I find the resultant using vectors?

To find the resultant using vectors, you will need to first determine the magnitude and direction of each individual force. Then, add all the forces together using vector addition. The resulting vector will be the resultant.

Can I use trigonometry to find the resultant?

Yes, trigonometry can be used to find the resultant. You will need to break down each force into its x and y components, and then use sine and cosine to find the resulting x and y components of the resultant. Finally, use the Pythagorean theorem and inverse trigonometric functions to find the magnitude and direction of the resultant.

Is the resultant always in the same direction as the largest force?

No, the resultant can be in any direction depending on the magnitude and direction of the individual forces. It is not always in the same direction as the largest force.

Can the resultant be zero?

Yes, the resultant can be zero if the forces acting on an object are equal and opposite. This is known as equilibrium, where the net force on the object is zero and it remains at rest or moves with constant velocity.

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