Advanced Dynamics

exam 2 – note #4, #5

the number of degrees of freedom

real displacement vs. virtual displacement

the principle of virtual work

partial velocity

consider moments

D’Alembert’s Principle

Lagrange’s Equations of Motion

differential mass element

mass

center of mass

triangle

a system of objects

inertial scalar

inertia dyadic

shifting theorem

principal axis / moments of inertia

final – note #6, #7

kinetic energy

Lagrangian

Hamiltonian

conservation of partial velocity

conservation of Hamiltonian

another conservation

another conservation

when does H == E

Hamilton’s equations of motion (H is in terms of p and q)

Poisson Bracket to test f

Kane-Lagrange equations

static equilibria

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