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Applied Mechanics - Coggle Diagram
Applied Mechanics
Units of Measurement
Base Units
Length : Meter (m)
Mass : Kilogram (kg)
Time : Second (s)
Temperature : Kelvin (K)
Luminous Intensity : Candela (cd)
Amount of Substance : Mole (mol)
Current : Ampere (A)
Derived Units
Force : Newton (N= kg x m/s²)
Energy : Joule (J = n x m)
Power : Watt (W=J/s)
Pressure : Pascal (Pa = N/m²)
Frequency : Hertz (Hz = 1/s)
Prefixes for Units of Measurement
Deci (d) : 10^-1
Centi (c) : 10^-2
Kilo (k) : 10^3
Milli (m) : 10^-3
Mega (M) : 10^6
Micro (μ) : 10^-6
Giga (G) : 10^9
Nano (n) : 10^-9
Vectors
Have both magnitude and direction
Representing Vectors
Length of arrows represent the magnitude
Arrows points in the direction
Break a vector into its x and y components
Polar Form: Represents vector by their magnitude and angle from a reference direction
Adding Vectors
Graphical Method: Place vectors tip to tail
Resultant vector drawn from start of first vector to the end of last
Parallelogram Method: Two vectors are placed tail to tail
Resultant vector is the diagonal of the parallelogram formed
Component Method: Break vectors into their components
Add corresponding components and then recombine to get resultant vector
Right-Angled Triangle
Pythagoras Theorem: For right-angled triangle
C: Hypotenuse, a and b are the other 2 side
c^2 = a^2 + b^2
Trigonometric Ratios
Sine: Sinθ = Opposite/Hypotenuse
Cosine: Cosθ = Adjacent/Hypotenuse
Tangent: Tanθ = Opposite/Adjacent
Triangle
Sine Law (For any triangle)
a/sinA = b/sinB = c/sinC
a,b,c = sides of triangle
A,B,C are angles opposite those sides
Cosine Law
c^2 = a^2 + b^2 - 2abcos(C)
Scalars
Only have magnitude