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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:

1. http://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_model_SHM08/SHM08_Simulation.xhtml
2. 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

Code	Language		Translator	Run

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http://iwant2study.org/lookangejss/02_newtonianmechanics_8oscillations/ejss_model_SHM08/SHM08_Simulation.xhtml