• Support PF! Buy your school textbooks, materials and every day products Here!

Simple harmonic motion

  • Thread starter jam12
  • Start date
  • #1
38
0

Homework Statement



I have that a oscillating mass undergoes shm. It is accelerated (forced oscillation) by 1ms^-2, for time pi/2 as it goes through the origin and then accelerated by -1ms^-2 for another time pi/2, then it is at the origin after the second acceleration.

I need to determine an expression for the acceleration for all time.

Homework Equations



None

The Attempt at a Solution



i can only think of something along the lines: f(t)= 1 0<t<pi/2
= -1 pi/2<t<pi
= 0 t>pi
but this is wrong as it only considers the acceleration for time 0 to pi. I need it for all time, since the mass will start accelerating (forced) when it travels past the origin to the other direction and continues to oscillate back and forth.
 

Answers and Replies

  • #2
272
0
Look up fourier series and something called the step function.
 
  • #3
38
0
thanks, ive tried but its no use since i need a function that turns on and of and on etc an infinite number of times
 
  • #4
272
0
  • #5
38
0
Looking at the squarewave function expression I see my function will be a sum of heaviside step functions? and i can change the period according to what i need.
Many thanks
 

Related Threads on Simple harmonic motion

  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
1
Views
876
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
0
Views
2K
  • Last Post
Replies
1
Views
5K
  • Last Post
Replies
3
Views
17K
Top