# Calculating Force F3: Magnitude & Direction

• teh81
In summary, three concurrent forces, F1, F2, and F3, act on a block on a horizontal surface. The resultant force is 20.0 N at 0°. F1 is 10.0 N at 40° and F2 is 20.0 N at 180°. To find the magnitude and direction of F3, a vector diagram was sketched and F1 was broken down into its x and y components. F1x is 7.67 N and F1y is 6.43 N. The sum of all forces equals 20 N. F2 is pushing the block to the left. To find F3's x and y components, the equation F3
teh81

## Homework Statement

Three concurrent forces, F1, F2 and F3, act on a block that is placed on a
horizontal surface. The resultant force on the block is 20.0 N at 0°. If F1 = 10.0 N
at 40° and F2 = 20.0 N at 180°, calculate the magnitude and direction of the force
F3. Sketch a vector diagram (not to scale) illustrating your solution.

What have you tried so far?

i drew the forces on the block.
then i found the f1 on x and y component ..
f1x= 10cos40 = 7.67N
f1y= 10sin40 = 6.43N
i know that the sum of all forces will give me 20n, is that right?
and .. the f2 is pushing the block in side < ----
but I am not sure how find the f3 on x and y component..
if i found it,
i know that i have to plug in
f3=sqrt(f3x^2+f3y^2)

## 1. How do you calculate the magnitude of force F3?

The magnitude of force F3 can be calculated using the formula F3 = F1 + F2, where F1 and F2 are the magnitudes of the other two forces acting on the object.

## 2. How do you determine the direction of force F3?

The direction of force F3 can be determined using the formula tanθ = F2/F1, where θ is the angle between F3 and F1, and F2 is the magnitude of force F2.

## 3. What is the unit of measurement for force F3?

The unit of measurement for force F3 depends on the units used for the other two forces. If the other forces are in Newtons (N), then F3 will also be in Newtons. If the other forces are in pounds (lbs), then F3 will also be in pounds.

## 4. Can force F3 have a negative magnitude?

Yes, force F3 can have a negative magnitude. This indicates that the force is acting in the opposite direction as the other two forces.

## 5. How does the point of application affect force F3?

The point of application does not affect the magnitude or direction of force F3. However, it may affect the resulting motion of the object as it can change the moment arm and torque.

Replies
17
Views
2K
Replies
7
Views
2K
Replies
6
Views
384
Replies
2
Views
1K
Replies
5
Views
2K
Replies
6
Views
1K
Replies
7
Views
7K
Replies
28
Views
3K
Replies
3
Views
3K
Replies
30
Views
1K