Simple Harmonic Motion...2

[nycmathguy]

Section 4.8

1. Is any of this right?
2. Can you please do part (d)?

 

[MathLover1]

d.

the least positive value of t is
0=(1/64)sin(792pi*t) will be if
sin(792pi *t)=0
general solutions
792pi *t=0+2pi*n
792pi *t=pi+2pi*n

solve for t
t = n/792, n element Z
t=n , n element Z

the least positive value of t will be if n=1
t=1

 

[nycmathguy]

d.

the least positive value of t is
0=(1/64)sin(792pi*t) will be if
sin(792pi *t)=0
general solutions
792pi *t=0+2pi*n
792pi *t=pi+2pi*n

solve for t
t = n/792, n element Z
t=n , n element Z

the least positive value of t will be if n=1
t=1

1. Thanks for part (d).

2. Are the first-three parts correct?

3. How about the link below?

Simple Harmonic Motion...1

 

[MathLover1]

yes, the first-three parts are correct

 

[nycmathguy]

yes, the first-three parts are correct

Cool. A nice ending to a not so easy section.