Application of vectors in physics

Example: A 35-N weight is suspended by two wires. Find the forces [b]F1[/b] and [b]F2[/b] acting in both wires.
Application of vectors in physics
Solution: The force vectors [b]F1[/b] and [b]F2[/b] have magnitudes |[b]F1[/b]| and |[b]F2[/b]| and components that are measured in Newtons. The resultant force is the sum [b]F1[/b] + [b]F2[/b] and must be equal in magnitude and acting in the opposite (or upward) direction to the weight vector [b]w[/b].[br]It follows from the figure (see Geogebra file) that:[br][br][b]F1[/b] = <-|[b]F1[/b]| cos 40, |[b]F1[/b]| sin 40> and [b]F2[/b] = <|[b]F2[/b]| cos 50, |[b]F2[/b]| sin 50>[br][br]Note: You can change the values for the weight by moving the slider [b]w[/b], and the value of the angles is changed by moving the sliders [b]alpha[/b] and [b]beta[/b].

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