Sep. 14, 1999 (Sep. 16 class was cancelled)
Sections covered: 1.6, 1.7, and 3.2 in [HB]
Path variable coordinate system
Deducing and defining the unit tangent vector, unit normal vector,
and unit bi-normal vector
Choice of coordinate system matters!
Solving the bead on a parabola problem using path variable
coordinates to show that it becomes much simpler than using Cartesian
coordinate system.
Velocity and acceleration of a particle in cylindrical coordinate
system.
Some simple functional forms for integration of F = ma
a is a function of x, position
a is a function of t, time
a is a function of v, velocity
Integrals of motion for the rectilinear motion
System of particles
Definition of center of mass
Newton's laws applied to a system of particles: We can
simply consider the center of mass as a particle of mass equal to the
total mass of the system and treat that all external forces on the
individual particles act on the center of mass.