1. Dynamics
Scalars and Vectors

3. How can a boat navigate pass the canal without knocking onto the sides?

4. Locomotives on both sides pulls the ship so they eventually move forward

5. Scalars and Vectors Objectives:
state what is meant by scalar and vector quantities and give common examples of each
add two vectors to determine a resultant by a graphical method
solve problems for a static point mass under the action of 3 forces for 2-dimensional cases (a graphical method would suffice)

6. Scalars and Vectors Vector quantities have magnitude and direction.
Scalar quantities only have magnitude.
Vectors
Scalars
Weight
Mass
Velocity
Speed
Displacement
Distance

7. Scalars and Vectors
Adding Vectors to find Resultant Vectors (One Dimension):
Car travels 3m right and 1m left 3m 2m 1m
0.5m

8. Scalars and Vectors
Adding Vectors to find Resultant Vectors (Two Dimension):
Rocket travelling up at 3ms-1 and right at 4ms-1
4ms-1
3ms-1
5ms-1
1ms-1

9. Scalars and Vectors Example
Find the resultant force on the object below 5N 3N 3N 2N 5N
4.2N 1N 2N

10. Vectors must retain direction and magnitude
Scalars and Vectors
Example (Parallelogram Rule)
Find the resultant force of the two forces given below. 1N 2N
object
Vectors must retain direction and magnitude 3N

11. Scalars and Vectors Example
In which direction should a force be added to the diagram below so that the object will not move. 1N 1N
1.41N
0.5N 1N

12. Scalars and Vectors Conclusion
Vector quantities have magnitude and direction.
Resultant vector is found by adding component vectors one after another or by a parallelogram method in a scale diagram.