Vectors and Motion
Vectors and Motion
Vectors and Motion
Scalars
A scalar quantity is a quantity that has magnitude only and
has no direction in space
Examples of Scalar Quantities:
Length
Area
Volume
Time
Mass
Vectors
A vector quantity is a quantity that has both
magnitude and a direction in space
Examples of Vector Quantities:
Displacement
Velocity
Acceleration
Force
PHYSICAL QUANTITIES DESCRIPTION
A.Scalars (Magnitude/unit)
1. Mass 10 kg
2. Time 2s
3. Speed 5 miles per hour
4. Energy 8J
B.Vectors (magnitude/unit/direction)
1. Displacement 5 m to the right
2. Velocity 5 kph, 30⁰ N of E
3. Acceleration 9.8 m/s2 downward
4. Force 18 N, 10⁰ from the X-axis
Determining Direction
N
B A
N of E
N of W
W E
S of E
C
S of W D
S
Addition of Collinear Vectors
Resultant Vector
represents the total of two or more vectors
drawn from the tail of the 1st vector to the
head of the last vector.
tail head
Resultant of Two Vectors
The resultant is the sum or the combined effect of two vector quantities
Vectors in the same direction
6m 4m 10 m
=
6m 10 m
=
4m
B = 70 m, 40 N of W
0
C = 180 m, 60 S of W
0
D = 150 m, 200 S of E
Find the resultant R of vector A, B, C, D
whose magnitudes and directions are given
below:
(scale 1cm:10m)
A = 40 m, 25 N of W
0
B = 60 m, 50 N of E
0
C = 80 m, 10 S of E
0
D = 70 m, 600 S of W
Equilibrium
When the net force is zero, the object is in
equilibrium. An equilibrant force can be
applied to produce equilibrium.
The same magnitude as the resultant vector
but in an opposite direction.
Force Table
Find the equilibrant in the
force below
B = 6N
A = 8N
Seatwork
From the given vector quantities below, determine:
a. Magnitude and direction of the resultant vector
b. Determine the magnitude and direction of the equilibrant
force
A = 50 N @ 30o N of E
B = 110 N @ 40o N of W
C = 75 N @ 60o S of W
D = 130 N @ 20o S of E