topicslidesminutes 1 displacement 927 2 1339 3 kinematics 1339 4 graphs 1030 5 energy 1030 6 power...
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Topic Slides Minutes1 Displacement 9 27
2 13 393 Kinematics 13 39
4 Graphs 10 30
5 Energy 10 30
6 Power 5 15
7 Springs 4 12
8 Shadows 3 9
9 Field of Vision 7 21
10 Colors 3 9
11 Concave mirrors 7 21
12 Convex mirrors 4 12
13 Refraction 5 15
14 Lenses 10 30
15 Optical Power 6 18
Vectors
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The word “component” means a “part” of a system.
When dealing with vectors, the word “components” refersto the vector parts that “add up” or constitute a vector.
Note well that while any vector may have many componentvectors, there are two “special” vectors that that when addedtogether result in the given vector.
Horizontal Component The horizontal component of a givenvector is that part which acts along the horizontal axis (x-axis).
Vertical Component The vertical component of a given vectoris that part which acts along the vertical axis (y-axis).
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FH FH
FV FV
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Together, the horizontal and vertical components make up a vector.
Vector
Vert
ical axis
Horizontal axis
Vertical component
Horizontal component
Vector = Horizontal component + Vertical component
REMEMBERREMEMBER
All vectors can beAll vectors can berepresented by theirrepresented by their
Horizontal and VerticalHorizontal and Verticalcomponents.components.
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Remember
Next
“North” is “Up”
“South” is “Down”
“East” is “Right”
“West” is “Left”
N (Up)
S (Down)
E (Right)(Left) W
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Calculate and sketch the horizontal and vertical componentsfor each of the given forces:
200 N [West]
FH = ____________________ FV = ____________________200 N [West] 0
N (or Up)
S (or Down)
E (or Right)W (or Left)
Vectors Slide: 2. 1
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N
S
EW
Calculate and sketch the horizontal and vertical componentsfor each of the given forces:
500 N [North]
FH = ____________________ FV = ____________________0 500 N [North]
Vectors Slide: 2. 2
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Calculate and sketch the horizontal and vertical componentsfor the following force:
500 N [Southeast]
FH = ____________________ FV = ____________________354 N [East] 354 N [South]
FH = 500 N Cos 45o = 354 N
FV = 500 N Sin 45o = 354 N
REMINDER
Southeast means at 45o
between South and East.
NOTENOTE
Round off your answers toRound off your answers to the nearest whole number. the nearest whole number.
45o
Vectors Slide: 2. 3
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Calculate and sketch the horizontal and vertical componentsfor the following force:
400 N [25o from the horizontal]
FH = ____________________ FV = ____________________363 N [East] 169 N [North]
FH = 400 N Cos 25o = 363 N
FV = 400 N Sin 25o =169 N25o
400 N
Vectors Slide: 2. 4
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Calculate and sketch the horizontal and vertical componentsfor the following force:
290 N [S 60o E]
FH = ____________________ FV = ____________________251 N [East] 145 N [South]
This means “from the South , 60o East”
60o
FH = 290 N Sin 60o = 251 N
FV = 290 N Cos 60o = 145 N290 N
Vectors Slide: 2. 5
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Calculate and sketch the horizontal and vertical componentsfor the following force:
600 N [W 60o S]
FH = ____________________ FV = ____________________300 N [West] 520 N [South]
This means “from the West , 60o South”
FV = 600 N Sin 60o = 520 N
60o
FH = 600 N Cos 60o = 300 N
600
N
Vectors Slide: 2. 6
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Calculate and sketch the horizontal and vertical componentsfor the following force:
400 N [E 35o N]
FH = ____________________ FV = ____________________328 N [East] 229 N [North]
This means “from the East , 35o North”
35o
FH = 400 N Cos 35o = 328 N
FV = 400 N Sin 35o = 229 N 400 N
Vectors Slide: 2. 7
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Calculate and sketch the horizontal and vertical componentsfor the following force:
500 N [S 20o W]
FH = ____________________ FV = ____________________171 N [West] 470 N [South]
This means “from the South , 20o West”
20o
FH = 500 N Sin 20o = 171 N
FV = 500 N Cos 20o = 470 N
500 N
Vectors Slide: 2. 8
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The diagram on the right illustrates fourforces acting on a cart that is free tomove in any direction.
Which of the following forces willplace the system in equilibrium?
A) 3.00 N at 0o from horizontal
B) 12.2 N at 180o from horizontal
C) 12.2 N at 0o from horizontal
D) 3.00 N at 180o from horizontal
E) 22.4 N at 0o from horizontal
FR180o
FE
Vectors Slide: 2. 9
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Vectors Slide: 2. 10
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An electron is subjected to a magnetic force of 2.6 x 10‑24 N actinghorizontally and an electric force of 3.0 x 10‑24 N acting vertically.
Determine the equilibrant force.
Vectors Slide: 2. 11
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An object is suspended by a cord which is 5.2 m long. As shownin the diagram, the horizontal force, F, is 75 N East. Calculatethe mass of the object.
A) 18 kg
B) 1.8 kg
C) 39 kg
D) 28 kg
E) 46.5 kg
FH = 75 N
A
First we find the angle
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11o
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11o
386 N
Next we find the weight
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Finally we find the mass
w
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Vectors Slide: 2. 12
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When a weight is hung in the middle of a 20 m long wire,the wire sags 3 m. If the tension in the wire is 270 N,determine the weight.
A) 155 N
B) 102 N
C) 78 N
D) 48 N
E) 26 N
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Step-1 Draw all the forces acting on the system.
T = 270 N
w
T = 270 Nw/2w/2
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Step-2 Find the angle.
3 m10 m
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73.3o
73.3o
Step-3 Find the weight.
With reference to the shaded triangle:
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Vectors Slide: 2. 13
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… and good luck!