Application of Vector Addition
Application of Vector Addition
Application of Vector Addition
Scalars Vectors
Examples: Mass, Volume Force, Velocity
Characteristics: It has a magnitude It has a magnitude
(positive or negative) and direction
Scalar Multiplication
and Division
VECTOR ADDITION USING EITHER THE
PARALLELOGRAM LAW OR TRIANGLE
Parallelogram Law:
Triangle method
(always „tip to tail‟):
Plan:
a) Resolve the forces into their x-y components.
b) Add the respective components to get the resultant vector.
c) Find magnitude and angle from the resultant components.
EXAMPLE (continued)
F1 = {0 i + 300 j } N
Plan:
a) Resolve the forces into their x and y components.
b) Add the respective components to get the resultant vector.
c) Find magnitude and angle from the resultant components.
GROUP PROBLEM SOLVING (continued)
y
Now find the magnitude and angle, FR
FR = ((972.7)2 + (102.7)2) ½ = 978.1 N
= tan–1( 102.7 / 972.7 ) = 6.03°
x
From Positive x axis, = 6.03°
ATTENTION QUIZ
1. Resolve F along x and y axes and write it in
vector form. F = { ___________ } N
y
A) 80 cos (30°) i – 80 sin (30°) j x
B) 80 sin (30°) i + 80 cos (30°) j
C) 80 sin (30°) i – 80 cos (30°) j 30°
F = 80 N
D) 80 cos (30°) i + 80 sin (30°) j