You're missing a force in Σ FxB, namely the component of weight in the x direction.Blockade said:Can someone check if my Sum of All Forces is setup correctly?
Problem:
[ IMG]http://puu.sh/o6pGI/7b189141b5.jpg[/PLAIN]
Diagram:
[ IMG]http://puu.sh/o6pLY/285d7b12c1.jpg [/PLAIN]
Sum of all Forces:
SammyS said:
The sum of all forces is the total vector sum of all the individual forces acting on an object in a given system. It takes into account both the magnitude and direction of each force.
To determine if the sum of all forces is written correctly for a system, we must first identify all the forces acting on the object and then use vector addition to calculate the total sum. The sum of all forces must also satisfy Newton's Second Law of Motion, which states that the net force on an object is equal to its mass multiplied by its acceleration.
If the sum of all forces is not written correctly for a system, then the calculated net force may be inaccurate and the object's motion may not be accurately predicted. This could lead to incorrect conclusions about the behavior of the system.
Yes, the sum of all forces can be negative if the forces acting on the object are in opposite directions and have different magnitudes. The negative sign indicates that the forces are acting in opposite directions and will result in a net force in that direction.
One limitation of using the sum of all forces is that it assumes the object is in a state of equilibrium, meaning that the net force acting on the object is equal to zero. This may not always be the case in real-world situations, and other factors such as friction and air resistance may need to be considered.