Vectors and Scalars

Addition §

• Vectors can be represented geometrically.
• To find the resulting vector, use the “head to tail method”

Subtraction §

• Vectors can be subtracted by adding the negative of one of the vectors, and then using the addition method.

Vector Components §

• As Shown with concurrent Vectors, two vectors can be summed together to make a resultant vector.

example: A rocket is launched from ground level at an angle of $60°$ to the horizontal. If the rocket has a velocity of $20m{s}^{-1}$, calculate:

1. the initial horizontal velocity.
2. the initial vertical velocity

Similar Triangles §

• some triangles are similar idk

Inclined planes. §

• Label all forces are acting on the ball:
  • Rolling motion of the ball down the incline is the result of the sum of these two vectors, so we do not draw the rolling force
  • 

Boom arms §

• a boom is a type of crane which uses the tension in a rope combined with thrust provided by an arm to lift objects.
• boom diagram
• $F_{\text{tension}}=F_{\text{against gravity}}+F_{\text{into arms}}$
• a crane holds 20kg mass suspended above the ground 20degree between boom.
  • calculate vertical tension on the rope:
  • calculate the tension on the rope:
  • calculate the thrust on the boom:
• 
• consistently practicing with examples and applying different formulas is the biggest difference with year 11 and 12 based on teacher’s observation!