@STUDYNOTESBYM
, A. KINEMATICS
1. VECTORS
VECTOR
A physical quantity that has both magnitude and direction
• Examples: Force, acceleration, displacement, weight
SCALAR
A physical quantity that has magnitude only
• Examples: length, mass, time, temperature
RESULTANT VECTOR
The single vector which has the same effect as the original vectors acting together
EXAMPLES: RESULTANT VECTOR IN ONE DIMENSION
Example 1: Boy A exerts a 60N force east while Boy B exerts a 30N force east. Determine the
resultant vectors
The original vectors are acting in the
𝑅𝑒𝑠𝑢𝑙𝑡𝑎𝑛𝑡 = 60𝑁 + 30𝑁 same direction therefore ADD
= 90𝑁 𝑒𝑎𝑠𝑡
Example 2: A 6000N force is acting right and a 4500N force is acting left. Determine the resultant
vectors
Let right be positive
The original vectors are acting in the
METHOD 1: 𝑅 = 6000 + (−4500) opposite directions therefore
= 1500𝑁 𝑟𝑖𝑔ℎ𝑡 SUBTRACT
METHOD 2: 𝑅 = 6000 − 4500
= 1500𝑁 𝑟𝑖𝑔ℎ𝑡
, EXAMPLE: RESULTANT FORCE IN TWO DIMENSIONS
STEP 1:
Determine the
resultant vector in the
horizontal plane
STEP 2:
Determine the resultant
vector in the vertical
plane
STEP 3:
Resolve the horizontal
and vertical vectors into
a vector triangle to
determine the resultant
vector