Circuits
Classical Mechanics
Statics
Trigonometry
General
100
Given the following circuit, what is V, i, and R
V = Voltage
i = Current
R = Resistor
100
What is Newton's second law of motion?
F = ma
100
What is the equation for weight?
W = m•g
100
What is the name of this circle?
Unit Circle
100
Our class uses 3D printers made by what company?
Printrbot & Ultimaker
200
What is the general equation to find the equivalent resistance (Req) for resistors in series and parallel?
Series: Req = ∑R
Parallel: 1/Req = ∑1/R
200
The following statement is the description of what law?
If body A exerts a force on body B (an “action”), then body B exerts a force on body A (a “reaction”). These two forces have the same magnitude but are opposite in direction. These two forces act on different bodies.
Newton's third law of motion
200
What is a vector?
Hint: Not this guy
A quantity having direction as well as a magnitude.
200
Given the following right triangle, name the sides (opposite, adjacent, and hypotenuse) with respect to theta.
a = Opposite
b = Adjacent
c = Hypotenuse
200
What force allows a flying object to be pushed up? (Think about what I've said when we played frisbee)
Lift
300
What is the equation for Kirchhoff's current law and where does it occur?
∑I = 0
At a junction
300
If (x,y) are rectangular coordinate points, what are polar coordinate points?
(r,θ)
300
If a person is pushing a box over a rough surface, what force is acting against them?
Frictional force
300
What is sinθ, cosθ, and tanθ in terms of x, y, and r?
sinθ = y / r
cosθ = x / r
tanθ = y / x
300
When we write our Arduino code, where would we write our main (command) code?
void loop
400
Given the circuit, determine the voltage at R4.
R4 = 8 V
400
What is the equation for power?
P = W / t
Power = Work / time
400
Determine the magnitude of the resultant force.
FRx = 800sin(40º) + 500cos(35º) = 923.8 lb
FRy = 800cos(40º) - 500sin(35º) = 326.0 lb
FR = √(FRx2+FRy2) = 979.6 lb
400
Given the following triangle, find cosθ
cosθ = -2/√5 = -2√5/5
400
What does PLA stand for?
Polylactic Acid
500
Determine the equivalent resistance (Req) for the following circuit.
Req = R1 + (R2R3) / (R2+R3) + R4
500
There are five forces acting on a crate. The crate (which has a mass of 35 kg) is pushed 35 meters in the horizontal direction. How much work has been done on the crate?
W = F • s
W = (F1 + F2 + F4cosθ - F5)(s)
W = (10 + 25 + 10cos(45º) - 10)(35)
W = 1122.5 N•m = 1122.5 J
500
Determine the moment of the force about point O.
M = F•d
M = (50 N)(100 + 200cos(45) m)
M = 12,071 N•m
500
Given that cosθ = 4/7 and θ in quadrant four, find sinθ
x = 4, r = 7, y = ?
Pythagorean Theorem => y = √33
(Note: y will be negative in quadrant four)
sinθ = -√33/7
500
Write 99 in binary numbers?
99 => 1
(99 - 1)/2 = 49 => 1
(49 - 1)/2 = 24 => 0
(24 - 0)/2 = 12 => 0
(12 - 0)/2 = 6 => 0
(6 - 0)/2 = 3 => 1
(3 - 1)/2 = 1 => 1
==> 1100011