Breadcrumbs

 

 

Download ModelDownload SourceembedLaunch Website ES WebEJS

About

SHM11

1.2.5 Example

The graphs show how the variation with time of the velocity, v and the acceleration, a of a body when it is oscillating with simple harmonic motion.
(a)    Determine the period, T.
(b)    Sketch the variation with time of the displacement, x, of the oscillating body
[ 2.09 s, x = 2  sin( 3t )]

1.2.5.1 Solution:

a) maximum velocity , v0 = x0ω = 6 m/s

maximum acceleration a0 = x0ω2 = 18 m/s2

thus dividing the 2 equations, we get ω = 3 rad/s

therefore since ω = 2 π T

3 = 2 π T

T = 2 π 3

T = 2.09 s

b) since maximum velocity , v0 = x0ω = 6 m/s and we now know ω = 3 rad/s earlier

x0(3) = 6

x0 = 2 m

using the model to test check out your answer!


1.2.5.2 Model:

  1. Run Sim
  2. http://iwant2study.org/ospsg/index.php/73
 

Translations

Code Language Translator Run

Credits

This email address is being protected from spambots. You need JavaScript enabled to view it.

http://iwant2study.org/lookangejss/02_newtonianmechanics_8oscillations/ejss_model_SHM11/SHM11_Simulation.xhtml

3.5 1 1 1 1 1 1 1 1 1 1 Rating 3.50 (3 Votes)