Find the forces if given resultant.

[williamx11373]

Find the forces...if given resultant.

the problem is in the link below...

http://i44.photobucket.com/albums/f46/maximus11373/353.jpg


i fully understand how to find the resultant when given the forces but do not know how to find the forces when given the resultant.

my question is...what are the forces and how do i find them.

 

[rock.freak667]

F₁ and F₂ are the forces and R is the resultant.

The easiest thing to do is to put $\Sigma F_x =R_x \ and \ \Sigma F_y = R_y$

 

[kerimek]

I would approach this problem by first understanding the concept of resultant forces. Resultant force is the single force that has the same effect as all the individual forces acting on an object. In other words, it is the net force that is responsible for the motion of an object.

To find the forces when given the resultant, we need to reverse the process of finding the resultant. This can be done by using vector addition and trigonometric functions.

First, we need to break down the resultant force into its components. This can be done by drawing a right triangle with the resultant force as the hypotenuse and using the trigonometric functions (sine, cosine, tangent) to find the individual forces.

Next, we need to determine the direction of the individual forces. This can be done by using the inverse trigonometric functions (arcsine, arccosine, arctangent) and taking into account the quadrant in which the force is acting.

Once we have the magnitude and direction of the individual forces, we can use vector addition to check if the resultant force is indeed the sum of these forces.

In summary, to find the forces when given the resultant, we need to use vector addition, trigonometric functions, and inverse trigonometric functions. It is important to note that there may be multiple combinations of forces that can result in the same resultant force, so it is crucial to carefully consider the direction and magnitude of the individual forces.