# Application of vectors in physics

- Topic:
- Vectors

Example: A 35-N weight is suspended by two wires. Find the forces

**F1**and**F2**acting in both wires.Solution: The force vectors

**F1**and**F2**have magnitudes |**F1**| and |**F2**| and components that are measured in Newtons. The resultant force is the sum**F1**+**F2**and must be equal in magnitude and acting in the opposite (or upward) direction to the weight vector**w**. It follows from the figure (see Geogebra file) that:**F1**= <-|**F1**| cos 40, |**F1**| sin 40> and**F2**= <|**F2**| cos 50, |**F2**| sin 50> Note: You can change the values for the weight by moving the slider**w**, and the value of the angles is changed by moving the sliders**alpha**and**beta**.