Harmonic Motion...2

[nycmathguy]

Section 4.2

Last question in Section 4.2. We then move 9n to Section 4.3 aka Right Triangle Trigonometry.

For part (a), I simply evaluate y(t) at the 5 values of t given.

I don't have a graphing calculator. Can you do part (b)?

Can you explain part (c)?

 

[MathLover1]

a simple harmonic oscillator oscillates with equal displacement on either side of the equilibrium position
the maximum displacement from equilibrium is called the amplitude (A)

b.

the position of the weight, when the spring is neither stretched nor compressed, is marked as
t=0 and is the equilibrium position

c.
as t increase, the weight then continues to move in the positive direction until it stops at
t=A (amplitude)

 

[MathLover1]

graph:

 

[nycmathguy]

a simple harmonic oscillator oscillates with equal displacement on either side of the equilibrium position
the maximum displacement from equilibrium is called the amplitude (A)

b.

the position of the weight, when the spring is neither stretched nor compressed, is marked as
t=0 and is the equilibrium position

c.
as t increase, the weight then continues to move in the positive direction until it stops at
t=A (amplitude)

For part (a), I simply must evaluate y(t) at each given value of t. Yes?

For part (b), are you saying to let t = 0 in the given function?

Thanks for explaining part (c). We now move on to Section 4.3.