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Staudt Physics GRE > Mechanics > Flashcards

Mechanics Flashcards

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1
Q

Projectile motion position

A
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2
Q

Velocity difference

A
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3
Q

Centripital acceleration in uniform circular motion

A

a = v2 / r

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4
Q

Rotational kinetic energy

A
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5
Q

Spring potential energy

A

1/2 kx2

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6
Q

Change in potential energy in a conservative field

A
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7
Q

Force of a potential

A

F = -∇U

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8
Q

Work force relationship

A
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9
Q

Angular velocity

A

v = Rω

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10
Q

Angular momentum

A

L = r x p

= Iω

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11
Q

Torque

A

T = r x F

= dL / dt

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12
Q

Coriolis force

A
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13
Q

Centrifugal force

A
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14
Q

Moment of inertia

A
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15
Q

Parallel axis theorem

A

I = ICM + Mr2

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16
Q

Center of mass

A
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17
Q

Lagrangian

A
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18
Q

Euler-Lagrange equation

A
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19
Q

Conjugate momentum

A
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20
Q

Hamiltonian

A
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21
Q

Hamilton’s equations

A
22
Q

Orbital Lagrangian

A
23
Q

Orbital angular momentum

A
24
Q

Orbital effective potential

A
25
Q

Reduced mass

A
26
Q

Hooke’s law

A

F = ma = -kx

27
Q

Angular frequency

A
28
Q

Satisfaction of Hooke’s Law

A
29
Q

Normal modes prescription

A
30
Q

Hyperbolic orbit

A

E > 0

31
Q

Parabolic orbit

A

E = 0

32
Q

Elliptical orbit

A

E < 0

33
Q

Equation of motion for an oscillator with damping, using b

A
34
Q

Equation of motion for an oscillator with damping and a driver

A
35
Q

Pendulum natural frequency

A

ω2 = g / L

36
Q

Natural frequency for extended object of mass m swinging on a massles rod of length R

A
37
Q

Bernoulli’s principle

A
38
Q

Underdamped

A
39
Q

Critically damped

A
40
Q

Overdamped

A
41
Q

Serial spring constant

A
42
Q

Amplitude of a driven undamped oscillator

A
43
Q

Damping parameter

A
44
Q

Equation of motion for an oscillator with damping, using β

A
45
Q

Velocity in polar coordinates

A
46
Q

Velocity in cylindrical coordinates

A
47
Q

Velocity in spherical coordinates

A
48
Q

Buoyant force

A

F = ρVg

49
Q

Kepler’s third law

A

T=ka3/2

where a is the semimajor axis

50
Q

Velocity in a circular orbit

A

Staudt Physics GRE (9 decks)

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