Two forces 10N and 20N are inclined at 60 degree to each other find the direction
To find the direction of the resultant force, you can use the concept of vector addition. Here's how you can do it step by step:
1. Draw a diagram: Draw the two forces as arrows. The 10N force is inclined at an angle of 60 degrees and the 20N force is inclined at the same angle but in the opposite direction. Label the forces as F1 and F2.
2. Resolve the forces into components: Resolve each force into horizontal and vertical components. Since the forces are at an angle of 60 degrees, the horizontal components can be found using the cosine function and the vertical components can be found using the sine function:
F1x = 10N * cos(60°)
F1y = 10N * sin(60°)
F2x = 20N * cos(60°)
F2y = 20N * sin(60°)
3. Add the horizontal and vertical components: Add the horizontal components together and add the vertical components together:
Fx = F1x + F2x
Fy = F1y + F2y
4. Calculate the magnitude of the resultant force: Use the Pythagorean theorem to calculate the magnitude of the resultant force:
Fr = sqrt(Fx^2 + Fy^2)
5. Calculate the direction of the resultant force: Use the inverse tangent function to calculate the angle of the resultant force:
θ = atan(Fy / Fx)
Given the values of the forces, you can plug them into the formulas to calculate the components and magnitude of the resultant force, as well as its direction.