Question

Okay, I am in need of help with the last three questions I have. I can't open the stuff I need to study for my final exam, which is tomorrow, until these are answered and I am highly confused about them due to the fact of my professor never going over this chapter at all during class.

Answer 1

1) For an object in simple harmonic motion with amplitude a and period 2π/ω, find an equation that models the displacement y at time t under the following conditions.
(a) y = 0 at time t = 0
(b) y = a at time t = 0

2) For an object in damped harmonic motion with initial amplitude k, period 2π/ω, and damping constant c, find an equation that models the displacement y at time t under the following conditions.
(a) y = 0 at time t = 0
(b) y = k at time t = 0

3) The graph shows the variation of the water level relative to mean sea level in Commencement Bay at Tacoma, Washington, for a particular 24-hour period. Assuming that this variation is modeled by simple harmonic motion, find an equation of the form
y = a sin ωt that describes the variation in water level as a function of the number of hours after midnight.

Answer 2

displacement is an application if integration, if memory serves

Answer 3

im not familiar with the damped harmonics tho so i cant verify anything with that

Answer 4

But can you help me with the simple harmonics?

Answer 5

simple harmonics is just trig, im pretty confident with that yes :)

Answer 6

does integration of position makes sense as a way to address displacement?

Answer 7

Nope. As I've said above, my professor never went over the chapter that this stuff is in. He just threw these at my class, gave us a date when they're due, and left us for dead.

Answer 8

let me try to google some stuff to refresh my memory then. if yo have nothing to work with then ill have to try to be the expert :)

Answer 9

Alright, thank you.

Answer 10

ok, integration doesnt seem to be needed.

think of an object on a spring, its just going up and down, up and down ..... it never adds or loses energy in the process and therefore its refered to as a simplified version of harmonic motion.