Kinematics and Dynamics Flashcards
British/Imperial System (FPS)
Foot, Pound, Second
rarely used by MCAT
Metric Systm (MKS)
Length -> Meter Mass -> Kilogram Time -> Second Current -> Ampere Mole -> Mol Temperature -> Kelvin Luminous Intensity -> Candela
Base vs Derived Units
B: standard units a system is designed around (seconds, kgs)
D: base units associated together (newton, joule, watt) for force, energy and power)
Angstroms
1 A = 10^-10 m
Electron volt
energy gained by an electron accelerating through a 1 V potential difference
1eV = 1.6*10^-19
Vectors (Bold)
numbers with magnitude and direction (displacement, velocity, acceleration, force)
Scalars (italic)
numbers only with magnitude
distance, speed, energy, mass, pressure
Resultant
sum or difference of two or more vectors
sum of A and B is to place tail of B at tip of A, the sum will be tail of A to the tip of B
Right Traingle for Vectors
V = Hyp
X and Y
X = Vcos theta Y = V sin theta
V = X^2 + Y^2
Angle of Resultant Vector
theta = tan^-1 (Y/X)
Steps to Finding Results via Components
1) Resolve vectors into X and Y components
2) add all x components for Rx ; add all y components for Ry
3) Magnitude of resultant is sqrt(Rx^2 + Ry^2)
4) Direction is theta= tan-1 (Ry/Rx)
Vector Subtraction
like addition but subtract all x components from each toher and all y components from each other
A - B = A + (-B)
Multiplying Vectors by scalars
R = (n) A where n = scalar
magnitude is A* abs(n)
direction depends on sign where negative n is opposite directions and positive n is same direction
If vector A is multiplied by scalar -3, then new Vector B is…
three times as long as A and in opposite directions
Multiplying 2 Vectors: Dot Product
develops scalar quantity like work (F * D)
A * B = (A)(B) cos (theta)
where ( ) is the resultant value of the vectors ex: sqrt (Ax^2 + Ay^2)
Multiplying 2 Vectors: Cross Product
when generating a third vector and needing its magnitude and direction like torque
A x B = (A) (B) sin (theta)
where ( ) is the resultant value of the vectors ex: sqrt (Ax^2 + Ay^2)
**use right hand rule to determine the direction!
The resultant of a cross product will always be ____ to the plane created by the two vectors
perpendicular
Displacement (x)
an object in motion may experience a change in its position in space.
Vector quantity, ONLY NET CHANGE DOESNT CONSIDER PATH
Distance (d)
considers path taken and is a scalar quantity compared to displacement
Velocity (v)
vector and is the rate of change of displacement in given time
(m/s)
Speed
distance traveled in a given time
Instantaneous Speed vs Instantaneous Velocity
IS is equal to the magnitude of IV
Instantaneous Velocity
V = lim as t -> 0 of dx/dt