1. find the phase space of the harmonic oscillator
x_double_dots + (w^2)x = 0
and the one parameter group of diffeomorphisms gt . also find two different
type of orbits. are these orbits phase curves?
2. consider the nonlinear pendulum
x_double_dots + sin(x) = 0
describe four different types of phase curves for the nonlinear pendulum.

Asher cycles 12 miles in 16 hours. what is his speed?

Identify the theory that can be used to explain each phenomenon. answers diffraction: wave theory interference: wave theory reflection: both particle and wave theories refraction: both particle and wave theories

A3030 cmcm wrench is used to loosen a bolt with a force applied 0.30.3 mm from the bolt. it takes 6060 nn to loosen the bolt when the force is applied perpendicular to the wrench. how much force would it take if the force was applied at a 3030 degree angle from perpendicular? a 3030 cmcm wrench is used to loosen a bolt with a force applied 0.30.3 mm from the bolt. it takes 6060 nn to loosen the bolt when the force is applied perpendicular to the wrench. how much force would it take if the force was applied at a 3030 degree angle from perpendicular?