Resultant Forces: F1 & F2 Expression Calculation

[mahtab]

Two forces F1 and F2 are acting at ringht angle to each other.Find the expressions for resultant forces?

 

[berkeman]

Show us your attempt at an answer, and then we can help you.

 

[baba89]

To find the expressions for the resultant forces, we can use the Pythagorean theorem. According to this theorem, the square of the hypotenuse (resultant force) is equal to the sum of the squares of the other two sides (F1 and F2). Therefore, the expression for the resultant force can be written as:

R = √(F1^2 + F2^2)

Additionally, we can use trigonometric functions to find the magnitude and direction of the resultant force. The magnitude can be calculated using the equation:

R = √(F1^2 + F2^2 + 2F1F2cosθ)

where θ is the angle between the two forces. To find the direction of the resultant force, we can use the tangent function:

tanθ = F2/F1

This will give us the angle at which the resultant force acts with respect to one of the original forces. By combining these equations, we can determine the magnitude and direction of the resultant force acting at a right angle to F1 and F2.