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Two forces f1and f2 of magnitude of 5N each inclined to each other at 60*,act on a body. Find the resultant force acting on the body?
Most Upvoted Answer
Two forces f1and f2 of magnitude of 5N each inclined to each other at ...
Given:
- Magnitude of force f1 = 5N
- Magnitude of force f2 = 5N
- Angle between the forces = 60°

To find:
- Resultant force acting on the body

Step 1: Resolving the forces
The two forces f1 and f2 can be resolved into their components along the x-axis and y-axis. Let's assume f1 is along the positive x-axis and f2 is inclined at an angle of 60° with respect to f1.

The x-component of f1 (f1x) can be calculated using the formula:
f1x = f1 * cosθ
where θ is the angle between f1 and the x-axis.
In this case, θ = 0°, so cosθ = 1.
Therefore, f1x = f1 * cos0° = f1 = 5N.

The y-component of f1 (f1y) can be calculated using the formula:
f1y = f1 * sinθ
where θ is the angle between f1 and the x-axis.
In this case, θ = 0°, so sinθ = 0.
Therefore, f1y = f1 * sin0° = 0N.

The x-component of f2 (f2x) can be calculated using the formula:
f2x = f2 * cosθ
where θ is the angle between f2 and the x-axis.
In this case, θ = 60°.
Therefore, f2x = f2 * cos60° = f2 * 0.5 = 5N * 0.5 = 2.5N.

The y-component of f2 (f2y) can be calculated using the formula:
f2y = f2 * sinθ
where θ is the angle between f2 and the x-axis.
In this case, θ = 60°.
Therefore, f2y = f2 * sin60° = f2 * 0.866 = 5N * 0.866 = 4.33N.

Step 2: Finding the resultant force
The resultant force can be calculated by adding the x-components and y-components of the forces.

The x-component of the resultant force (Rx) is the sum of f1x and f2x:
Rx = f1x + f2x = 5N + 2.5N = 7.5N.

The y-component of the resultant force (Ry) is the sum of f1y and f2y:
Ry = f1y + f2y = 0N + 4.33N = 4.33N.

The magnitude of the resultant force (R) can be calculated using the Pythagorean theorem:
R = √(Rx² + Ry²)
R = √((7.5N)² + (4.33N)²)
R = √(56.25N² + 18.76N²)
R = √(75.01N²)
R = 8.66N (approximately)

Step 3: Finding the direction of the resultant force
The direction of the resultant force can be found using the tangent
Community Answer
Two forces f1and f2 of magnitude of 5N each inclined to each other at ...
Use the method of vector form |F|=|F1 vector| + | F2 vector| solve by this method u get the answer as 8.66N ..!!👍👍
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Two forces f1and f2 of magnitude of 5N each inclined to each other at 60*,act on a body. Find the resultant force acting on the body?
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