Turn on thread page Beta
    • Thread Starter
    Offline

    12
    ReputationRep:
    So, I've a problem that says:

    A particle of unit mass moves on teh positive x-axis under the force
    F = 36(x^-3) - 9(x^-2).

    Show that in the harmonic approximation the period of oscillation is T = 16pi/3.

    Now, I'm not really sure what is meant by harmonic approximation. Any idea/suggestions/hints?
    Offline

    10
    For SHM the (restoring) force must be directly proportional to x. (F=-kx) The harmonic approximation would be the range of values of x for which this is (approximately) true.
    • Thread Starter
    Offline

    12
    ReputationRep:
    (Original post by Stonebridge)
    For SHM the (restoring) force must be directly proportional to x. (F=-kx) The harmonic approximation would be the range of values of x for which this is (approximately) true.
    So, I would set the given equation for force equal to -kx?
    Offline

    0
    ReputationRep:
    You need to find the zero of F (ie equilibrium), then taylor expand to 1st order about it, which will give the constant k.
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: January 23, 2010
The home of Results and Clearing

1,020

people online now

1,567,000

students helped last year

University open days

  1. University of Buckingham
    Postgraduate Open Evening Postgraduate
    Thu, 23 Aug '18
  2. University of Glasgow
    All Subjects Undergraduate
    Tue, 28 Aug '18
  3. University of Aberdeen
    Undergraduate Open Day Undergraduate
    Tue, 28 Aug '18
Poll
How are you feeling about GCSE results day?

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.