## 10.4.3 Example JavaScript HTML5 Applet Simulation Model

SHM19

### 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

## 1.4.3.1 Model:

### Translations

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### 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

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### end faq

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