Mechanics Flashcards
1
Q
Projectile motion position
A
2
Q
Velocity difference
A
3
Q
Centripital acceleration in uniform circular motion
A
a = v2 / r
4
Q
Rotational kinetic energy
A
5
Q
Spring potential energy
A
1/2 kx2
6
Q
Change in potential energy in a conservative field
A
7
Q
Force of a potential
A
F = -∇U
8
Q
Work force relationship
A
9
Q
Angular velocity
A
v = Rω
10
Q
Angular momentum
A
L = r x p
= Iω
11
Q
Torque
A
T = r x F
= dL / dt
12
Q
Coriolis force
A
13
Q
Centrifugal force
A
14
Q
Moment of inertia
A
15
Q
Parallel axis theorem
A
I = ICM + Mr2
16
Q
Center of mass
A
17
Q
Lagrangian
A
18
Q
Euler-Lagrange equation
A
19
Q
Conjugate momentum
A
20
Q
Hamiltonian
A
21
Q
Hamilton’s equations
A
22
Q
Orbital Lagrangian
A
23
Q
Orbital angular momentum
A
24
Q
Orbital effective potential
A
25
Reduced mass
26
Hooke's law
F = ma = -kx
27
Angular frequency
28
Satisfaction of Hooke's Law
29
Normal modes prescription
30
Hyperbolic orbit
E \> 0
31
Parabolic orbit
E = 0
32
Elliptical orbit
E \< 0
33
Equation of motion for an oscillator with damping, using b
34
Equation of motion for an oscillator with damping and a driver
35
Pendulum natural frequency
ω2 = g / L
36
Natural frequency for extended object of mass *m* swinging on a massles rod of length R
37
Bernoulli's principle
38
Underdamped
39
Critically damped
40
Overdamped
41
Serial spring constant
42
Amplitude of a driven undamped oscillator
43
Damping parameter
44
Equation of motion for an oscillator with damping, using β
45
Velocity in polar coordinates
46
Velocity in cylindrical coordinates
47
Velocity in spherical coordinates
48
Buoyant force
F = ρVg
49
Kepler's third law
T=ka3/2
where a is the semimajor axis
50
Velocity in a circular orbit
