Calculating Resultant Force from Two Forces at a Point

In summary, The problem involves two forces, F1 and F2, acting at a point. F1 has a magnitude of 9.80 and is at an angle of 65.0 degrees above the x-axis in the second quadrant. F2 has a magnitude of 5.00 and is at an angle of 52.3 degrees below the x-axis in the third quadrant. The x-component of the resultant force is the sum of the x-components of both forces, which can be calculated using the formula Fcos(\vartheta). The y-component of the resultant force can be calculated using the formula Fsin(\vartheta). The magnitude of the resultant force can be found by taking the square root of the sum of the squares
  • #1
treverd
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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([tex]\vartheta[/tex]) for X-component

Fsin([tex]\vartheta[/tex]) for y-component

[tex]\sqrt{X-comp^{}2/y-comp^{}2}[/tex]

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 alot.
 
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  • #2
Theres 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.
 
  • #3
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.
 

1. What is the concept of "Two Forces on Single Point"?

The concept of "Two Forces on Single Point" refers to the situation where a single point or object is being acted upon by two or more forces. These forces can be either in the same direction, causing the point to accelerate in that direction, or in opposite directions, resulting in a net force and a change in the point's motion.

2. How do you calculate the net force on a point when there are two forces acting on it?

To calculate the net force on a point, you need to find the vector sum of the forces. This can be done by adding the x-components and y-components of each force separately. The resulting vector will be the net force on the point.

3. Can the two forces on a single point cancel each other out?

Yes, if the two forces are equal in magnitude and opposite in direction, they will cancel each other out and the point will experience no net force. This is known as equilibrium.

4. What are some real-life examples of "Two Forces on Single Point"?

Some real-life examples of "Two Forces on Single Point" include a tug-of-war, where two teams pull on a rope in opposite directions, causing a net force on the middle point; a person pushing a door open, where the force of the person's hand and the force of friction from the door act on the same point; and a car driving up a hill, where the force of gravity pulling the car down and the force of the engine pushing the car up both act on the car's center of mass.

5. How does the direction of the net force on a point affect its motion?

The direction of the net force on a point determines the direction of its acceleration. If the net force is in the same direction as the point's current motion, it will accelerate in that direction. If the net force is in the opposite direction, it will decelerate or change direction. If there is no net force, the point will continue to move at a constant velocity or remain at rest.

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