Download ModelDownload Sourceembed



1.4.3 Example

The mass is displaced to the left from its equilibrium position through a small distance d and is released. The mass undergoes simple harmonic motion.
The graph shows the variation with displacement x from the equilibrium position of the kinetic energy of the mass.

Use the graph to
(a)     determine the distance d and the greatest acceleration through which the mass was displaced initially,
(b)    determine the period, frequency and angular frequency.

(c) determine the corresponding equations of displacement, velocity and acceleration. 

(d) determine the corresponding equations of elastic potential energy and the total mechanical energy and sketch them on the graph above.

(e) determine the corresponding equations of kinetic energy, potential energy and total energy

[0.8m, 0.79 s, 1.26 Hz, 7.91 rad/s]

[ x= - 0.8 cos(7.91t), v= 6.32 sin(7.91t), a= 50 cos(7.91t)]

[KE = 2.6 sin 7.912t, PE = 2.6 cos 7.912t, TE =2.6 J]

[KE = 4.06 (0.82-x2), PE = 4.06 x2, TE = 2.6 J]

Using the model, this graph can be shown

the velocity maximum value can be found in the model as well Model:

  1. Run Sim


Code Language Translator Run

Software Requirements


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



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

end faq

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)

Article Stats

Article ID: 87
Article Category ID: 25
Deployed Users
Total # of Likes
Total # of Dislikes
Total # of Deployment 0
  • Oscillations
  • Junior College
  • Sciences
  • Design and Technology
  • EasyJavaScriptSimulation
  • Android/iOS including handphones/Tablets/iPads
  • Windows/MacOSX/Linux including Laptops/Desktops
  • ChromeBook Laptops
  • Science
  • Simulations