  SHM08

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:

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

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