A force acts at the origin of a coordinate system in a direction defined by the angles a = 113.2° and ß = 78.4°. Knowing that the z component of the force is -35 lb, determine (a) the angle y, (b) the other components and the magnitude of the force. At the end of your solution, draw a 3D sketch showing F and its components – similar to the first 3D example we did in class. (Hint: for this problem only you do not need to start your solution with a FBD. Do not include a sketch in the "Problem" section as you were not given a picture.) (Partial answer hint: F = 39.0 lb. Note: this partial answer hint is like checking the back of the book. You may not consider this as “given" information.)
A force acts at the origin of a coordinate system in a direction defined by the angles a = 113.2° and ß = 78.4°. Knowing that the z component of the force is -35 lb, determine (a) the angle y, (b) the other components and the magnitude of the force. At the end of your solution, draw a 3D sketch showing F and its components – similar to the first 3D example we did in class. (Hint: for this problem only you do not need to start your solution with a FBD. Do not include a sketch in the "Problem" section as you were not given a picture.) (Partial answer hint: F = 39.0 lb. Note: this partial answer hint is like checking the back of the book. You may not consider this as “given" information.)
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The addition of square of direction cosines is one.
Substitute the required values and solve.
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