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10.2.2 Special Case (starting from x=0) Solution to the defining equation:LO (e)*
x= x0 sin( ωt )
Note:
Equation for v can also be obtained by differentiating x with respect to time t.
v = x0 ω cos (ωt ) = v0 cos (ωt)
Note:
Equation for a can also be obtained by differentiating v with respect to time t.
a = - x0 ω2 sin (ωt ) = - a0 sin (ωt)
10.2.2.1 Model:
- http://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_model_SHM08/SHM08_Simulation.xhtml
- http://iwant2study.org/ospsg/index.php/interactive-resources/physics/02-newtonian-mechanics/09-oscillations/71-shm08
by substitution, suggest if the defining equation a = - ω2 x is true or false.
10.2.2.2 Suggest there Special Case (starting from x=x0 ) Solution to the defining equation:LO (e) if given
x= x0 cos( ωt )v = -x0 ω sin (ωt ) = -v0 sin (ωt)
a = -x0 ω2 cos (ωt ) = - a0 cos (ωt)
by substitution, suggest if the defining equation a = - ω2 x is true or false.
10.2.2.3 Summary:
Quantity | extreme left | centre equilibrium | extreme right |
x | – x0 | 0 | x0 |
v | 0 | + x0ω when v >0 or – x0ω when v <0 which are maximum values |
0 |
a | +x0ω2 | 0 | –x0ω2 |
Translations
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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 |
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