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Following points are the summary of these Lecture Slides : Vector Properties, Vector Quantity, Scalar Quantity, Magnitude, Direction, Temperature, Time, Energy, Length, Represents
Typology: Slides
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A vector quantity has both magnitude (size) and direction
A scalar quantity only has size (i.e. temperature, time, energy, etc.)
Parts of a vector:
tail head
length – represents the magnitude
We can perform math operations with vectors!
Vector Addition
A motor boat is moving 15 km/hr relative to the water.
The river current is 10 km/hr downstream.
How fast does the boat go (relative to the shore)
upstream and downstream?
Boat Upstream Vector
Vector Addition
A motor boat is moving 15 km/hr relative to the water.
The river current is 10 km/hr downstream.
How fast does the boat go (relative to the shore)
upstream and downstream?
Current Vector = 10 km/hr downstream
Boat Upstream Vector
Boat Downstream Vector
Boat Velocity
Upstream: Place vectors head to tail,
net result, 5 km/hr upstream
Boat Velocity
Downstream: Place vectors head to tail,
Commutative law
Forces On An Airplane
When will it fly?
Gravity
Propulsion
Net Force?
Forces On An Airplane
When will it fly?
Gravity
Propulsion
Lift
Net Force?
Friction
When will it fly?
Gravity
Propulsion
Lift
Net Force = 0 up or down
Plane rolls along the runway like a car because of propulsion.
Friction
When will it fly?
Gravity
Propulsion
Lift
Air Resistance
Net Force = 0
Equilibrium
Flight
When will it fly?
Gravity
Propulsion
Lift
Air Resistance
Net Force
Plane Flies as long as Lift > Gravity
AND Propulsion > Air Resistance
x
y
A
r
Ax adj
Ay opp
A Ax x Ay y
r (^) ) ) = +
θ
If we only know the mag. of A , and the angle, θ it makes with the x-axis, how do we find the x, and y components?
θ θ
θ θ
sin sin
cos cos
A A A
A
hyp
opp
A A A
A
hyp
adj
x
y
x
x
r r
r r
= = → =
= = → =
x
y
A
r
Ax adj
Ay opp
A Ax x Ay y
r (^) ) ) = +
θ
If we only know the x and y components, how can we find the magnitude of A?
A = Ax + A y
r This comes from Pythagorean’s theorem
GO TO HITT
