Download ModelDownload Sourceembed

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

Software Requirements

SoftwareRequirements


Android iOS Windows MacOS
with best with Chrome Chrome Chrome Chrome
support full-screen? Yes. Chrome/Opera No. Firefox/ Samsung Internet Not yet Yes Yes
cannot work on some mobile browser that don't understand JavaScript such as.....
cannot work on Internet Explorer 9 and below

 

Credits

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

end faq

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

Testimonials (0)

There are no testimonials available for viewing. Login to deploy the article and be the first to submit your review!

Submit your review

Please deploy the article before submitting your review!

You have to login first to see this stats.

5 1 1 1 1 1 1 1 1 1 1 Rating 5.00 (2 Votes)