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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A force acts at the origin of a coordinate system in a direction defined by the angles a = 113.2° and Øß = 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
consider this as "given" information.)
%3D
may not
Transcribed Image Text:A force acts at the origin of a coordinate system in a direction defined by the angles a = 113.2° and Øß = 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 consider this as "given" information.) %3D may not
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Step 1`

Part a:

The addition of square of direction cosines is one.

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Substitute the required values and solve.

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