Scalar and Vector Parallelogram Method

1. PriyaRajkumar and Christina Ramrup Scalar and Vector Parallelogram Method

2. DEFINE

3. 5 meters 5 meters East

4. How can we add vectors using the parallelogram method? • draw vector 1 using appropriate scale and in the direction of its action • from the tail of vector 1 draw vector 2 using the same scale in the direction of its action • complete the parallelogram by using vector 1 and 2 as sides of the parallelogram • the resulting vector is represented in both magnitude and direction by the diagonal of the parallelogram

5. Parallelogram • If two vectors are represented by two adjacent sides of a parallelogram, then the diagonal of parallelogram through the common point represents the sum of the two vectors in both magnitude and direction.

6. Components of a Vector • THE VERTICAL AND HORIZONTAL COMPONENTS MAKE A TRIANGLE AND SO WE CAN USE SINE AND COSINE TO CALCULATE A MISSING COMPONENT R Vertical Component Ry θ Rx Horizontal Component

7. How can we define and calculate components of resultant vector? Rx =R cosθ Ry =R sinθ

8. Fx With the given information we can use COSINE!!! Rx =R cosRy OR Fx = F cosθ Fx= 100N x cos(30°) Fx = 100N x (√3)/2 Fx= [C] 86.6 N

9. Answer: D) an unlimited number because there is no finite amount of forces and you can have them acting at various magnitudes from various directions Answer: A) distance This question is comparing a vector quantity velocity to a scalar quantity speed. Displacement is a vector quantity that relates to distance a scalar quantity in the same way.