Force vectors
question
How can I use free body diagrams to solve force vectors that occur on an object?
formulas
Soh-Cah-Toa
Soh= Sin = Opposite side divided by hypotenuse side
Cah= Cos = Adjacent side divided by hypotenuse side
Toa= Tan = Opposite side divided by adjacent
Soh= Sin = Opposite side divided by hypotenuse side
Cah= Cos = Adjacent side divided by hypotenuse side
Toa= Tan = Opposite side divided by adjacent
what is the goal
EFX= The sum of the forces in the x direction
EFY= The sum of the forces in the y direction
EFY= The sum of the forces in the y direction
proof
It is very simple to use free body diagrams to solve force vectors on an object. Mainly by using simple algebra and know your sine, cosine, and tangent ratios. If I know what the variable "F" is and the angle between "F" and "Fx" then I can solve the force vector of the free body diagram. Say the variable "F" has a force of 75.0 lbs. and the angle below "F" is 35 degrees. I can use the cosine ratio (adjacent side divided by hypotenuse side) to solve for Fx. When i solve for that then I just do the same thing for Fy.