two forces one of 12N and another of 24N with angle of 90 what is resaltant?
Draw the triangle. You can see that you get
12√5 at an angle θ where tanθ = 24/12
To find the resultant force of two forces, you can use the laws of vector addition. Here's how you can determine the resultant force:
1. Set up a coordinate system: Choose a direction as positive (usually x-axis) and a perpendicular direction as negative (usually y-axis).
2. Break down the forces into their x and y components: Since the angle between the forces is 90 degrees, one force will act along the positive x-axis and the other along the positive y-axis.
- For the 12 N force: The x-component will be 12 N (cos 0°) = 12 N, and the y-component will be 12 N (sin 0°) = 0 N.
- For the 24 N force: The x-component will be 24 N (cos 90°) = 0 N, and the y-component will be 24 N (sin 90°) = 24 N.
3. Add up the x and y components: Add the x and y components separately to get the total x-component and the total y-component.
- Total x-component: 12 N + 0 N = 12 N
- Total y-component: 0 N + 24 N = 24 N
4. Find the magnitude of the resultant force: To find the magnitude of the resultant force, use the Pythagorean theorem.
- Magnitude of the resultant force (F) = √((Total x-component)^2 + (Total y-component)^2)
= √((12 N)^2 + (24 N)^2)
= √(144 N^2 + 576 N^2)
= √720 N^2
= 26.87 N (approx)
So, the magnitude of the resultant force is approximately 26.87 N.