Simple harmonic motion

  • Thread starter akj
  • Start date
  • #1
akj
4
0
Hi i need help with this question. It is focused on simple harmonic equation and the rest of the assignment uses many question which are structure like this.

A mass of 16kg on a spring of k = 9.0N/m passes the midpoint of motion with a velocity of 2.0m/s what is the amplitutde?

I am unsure what equation(s) i could use that contains mass, spring contanstant (k), velocity and amplitute or displacement.

I would be greateful for any help,

thanks in advance.
 

Answers and Replies

  • #2
782
1
You should really show us what you've tried.
Use the equation relating angular velocity, mass, and k.

Then take a look at the equation for velocity given by the conservation of energy.

Remember at the midpoint/equilibrium x = 0.

Oh, and post homework questions in the homework forum!!
 
  • #3
akj
4
0
thanks for your response. Are you referring to anqular velocity = square root[(k/m)]?. if so how do i relate this to working out the amplitute?
 
  • #4
mjsd
Homework Helper
726
3
instead of trying to dig out which equations to use, why not derive all of them yourself, that way u will understand everything a lot better.
start with key equation F=-kx = m x'' where x'' is the 2nd derivative. etc. then you will find a form for x in terms of sin/cos ..etc. then using basic relations like ang freq = 2 pi f, 1/f = period etc you can solve for everything. Amplitude will just be the factor outside your sin/cos functions. NB: you have been given some conditions so that you can fix some of your integration constants.
 

Related Threads on Simple harmonic motion

  • Last Post
Replies
17
Views
963
  • Last Post
Replies
3
Views
790
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
21
Views
1K
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
1
Views
835
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
1
Views
953
  • Last Post
Replies
3
Views
694
Top