P H Y S I CS V OI CE — GR E P H Y S I CS F L A S H CA R DS — S H E E T 1 OF 7 ( F R ON T)
M EC-1 M EC-2
Give the Euler–Lagrange equation and what L
Give Hamilton's equations.
stands for.
PH Y SICS VOICE PH Y SICS VOICE
M EC-3 M EC-4
Give the angular frequency of a simple
When is angular momentum conserved?
harmonic oscillator.
PH Y SICS VOICE PH Y SICS VOICE
M EC-5 M EC-6
What's the key difference between a Lagrangian
State Kepler's third law.
and a Hamiltonian approach?
PH Y SICS VOICE PH Y SICS VOICE
EM -1 EM -2
List Maxwell's four equations by name. Give Coulomb's law in vector form.
PH Y SICS VOICE PH Y SICS VOICE
, P H Y S I CS V OI CE — GR E P H Y S I CS F L A S H CA R DS — S H E E T 1 OF 7 ( B A CK )
M EC-2 M EC-1
q̇ = ∂H/∂p, ṗ = −∂H/∂q , with H = T + V d ∂L ∂L
− = 0, where L = T − V .
dt ∂ q̇ ∂q
.
PH Y SICS VOICE PH Y SICS VOICE
M EC-4 M EC-3
Whenever the net external torque on the system
ω= k/m.
is zero.
PH Y SICS VOICE PH Y SICS VOICE
M EC-6 M EC-5
Lagrangian mechanics uses position and velocity
( q, q̇ ); Hamiltonian mechanics uses position and
T 2 ∝ a3 — orbital period squared is
momentum ( q, p ), and treats energy as the proportional to the semi-major axis cubed.
central quantity.
PH Y SICS VOICE PH Y SICS VOICE
EM -2 EM -1
1 q1 q2 Gauss's law, Gauss's law for magnetism,
F = r^.
4πε0 r 2
Faraday's law, Ampère–Maxwell law.
PH Y SICS VOICE PH Y SICS VOICE
M EC-1 M EC-2
Give the Euler–Lagrange equation and what L
Give Hamilton's equations.
stands for.
PH Y SICS VOICE PH Y SICS VOICE
M EC-3 M EC-4
Give the angular frequency of a simple
When is angular momentum conserved?
harmonic oscillator.
PH Y SICS VOICE PH Y SICS VOICE
M EC-5 M EC-6
What's the key difference between a Lagrangian
State Kepler's third law.
and a Hamiltonian approach?
PH Y SICS VOICE PH Y SICS VOICE
EM -1 EM -2
List Maxwell's four equations by name. Give Coulomb's law in vector form.
PH Y SICS VOICE PH Y SICS VOICE
, P H Y S I CS V OI CE — GR E P H Y S I CS F L A S H CA R DS — S H E E T 1 OF 7 ( B A CK )
M EC-2 M EC-1
q̇ = ∂H/∂p, ṗ = −∂H/∂q , with H = T + V d ∂L ∂L
− = 0, where L = T − V .
dt ∂ q̇ ∂q
.
PH Y SICS VOICE PH Y SICS VOICE
M EC-4 M EC-3
Whenever the net external torque on the system
ω= k/m.
is zero.
PH Y SICS VOICE PH Y SICS VOICE
M EC-6 M EC-5
Lagrangian mechanics uses position and velocity
( q, q̇ ); Hamiltonian mechanics uses position and
T 2 ∝ a3 — orbital period squared is
momentum ( q, p ), and treats energy as the proportional to the semi-major axis cubed.
central quantity.
PH Y SICS VOICE PH Y SICS VOICE
EM -2 EM -1
1 q1 q2 Gauss's law, Gauss's law for magnetism,
F = r^.
4πε0 r 2
Faraday's law, Ampère–Maxwell law.
PH Y SICS VOICE PH Y SICS VOICE
