1. Applications of Vectors

2. Definition: Resultant: The result of two vectors acting on a point at the same time. Equilibrant: The opposite vector of the resultant. Find the resultant by ADDING vectors.

3. Two Methods to solve Application Problems. A). Resolve the vectors into component form. Then add. Two forces act on a point. Vector A has direction angle = 30 o and magnitude = 50 Vector B has direction angle = 135 o and magnitude = 20 1. Write each vector in Component form – start with trig form 2.Add the components to find the Resultant Vector 3.Find the magnitude and Amplitude of the Resultant

4. Two forces act on a point. Vector A has direction angle = 30 o and magnitude = 50 Vector B has direction angle = 135 o and magnitude = 20 Mag= amp = resultant

5. Two Methods to solve Application Problems. A). Resolve the vectors into component form. Then add. Two forces act on a point. Given the angle between the angles Vector A has magnitude = 15 Vector B has magnitude = 23 The angle between the two angles is 70 o. Make one the x-axis Resultant has a magnitude of and amplitude of

6. Two Method to solve Application Problems. B). Parallelogram Method - Law of Cosines. Two forces act on a point. Given the angle between the angles Vector A has magnitude = 15 Vector B has magnitude = 22 The angle between the two angles is 100 o. 1)Draw a Parallelogram. 2)Find the angle opposite the resultant – using the Law of Cosines 3)Use the Law of Sines to find the angles.

7. Two forces act on a point. Given the angle between the angles Vector A has magnitude = 15 Vector B has magnitude = 22 The angle between the two angles is 100 o. 100 ⁰ 1)Draw a Parallelogram. 2)Find the angle opposite the resultant – using the Law of Cosines 3)Use the Law of Sines to find the angles. x

8. Two Method to solve Application Problems. B). Parallelogram Method - Law of Cosines. Two forces at on a point. Vector A has direction angle = 75 o and magnitude = 45 Vector B has direction angle = 310 o and magnitude = 27

9. Two forces act on a point. Vector A has direction angle = 75 o and magnitude = 45 Vector B has direction angle = 310 o and magnitude = 27 x y

11. Assignment: Applications 1: Methods