cepheid said:Do you understand how to calculate a vector sum graphically? That's all this question is really about...
Crusaderking1 said:Oh wait, like draw a straight line with 8 and 6 for 14, while drawing lines with arrows towards each other for 2?
cepheid said:Well, you've found two combinations that work. If the forces are in the same direction, the magnitude of the resultant is just the sum of the magnitudes of the two vectors. Likewise if they're in the exact opposite direction, the magnitude of the resultant is just the difference of their magnitudes. But the more general case is when they are not co-linear, meaning along the same line. I.e. the angle between them is something other than 0 or 180 degrees. How do you find the resultant in this case? In other words, how do vectors sum together? You should know this.
Crusaderking1 said:Well, I can add vectors(of force) by finding components, graphing them, or using a force table.
I don't really know how to add vectors that well, but wouldn't there be a 90 degree angle between 6 and 8 to give me 10, since 8^2+6^2 square root= 10.
cepheid said:Yeah. So you figured out the answer to all three cases by trial and error or "guess and check." But the general method for finding the resultant is either to resolve each vector into components and add them component-wise, or to do it graphically by using the "parallelogram rule" for vector sums (which I can only assume you must have learned):
http://en.wikipedia.org/wiki/Euclidean_vector#Addition_and_subtraction
Force combinations refer to the combination of multiple forces acting on an object. These forces can be of different magnitudes and directions, and their combined effect determines the overall motion of the object.
To solve force combinations, you must first identify all the forces acting on the object and their magnitudes and directions. Then, use vector addition to find the resultant force, which is the combination of all the individual forces.
The equation for solving force combinations is F = m x a, where F is the resultant force, m is the mass of the object, and a is the acceleration. This equation is based on Newton's Second Law of Motion.
To solve for the resultant force using the given forces, you can use the Pythagorean theorem or the head-to-tail method of vector addition. The Pythagorean theorem is used when the forces are acting at right angles to each other, while the head-to-tail method is used for forces acting at any angle.
The units of force, such as N (Newton) or kgm/s^2, are important in force combinations as they represent the magnitude of the force. When adding forces together, the units must also be added to ensure consistency and accuracy in the calculations.