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Tuesday, 15 May 2018 11:14cat

Calculation Example – Simple harmonic vibration part1 Featured

Written by  TheStructuralEngineer.info

A single point with mass m is vibrating harmonically. The displacement x from point of balance is governed by the differential equation

 

exphoto1 

where ω is a positive constant.

a) Show that

 exphoto2

and

exphoto3

are equivalent.

 

Solution

 exstru3

  

So the form is                 x(t)=A sin⁡ωt+B cos⁡ωt

 

where

                       x(t)=A sin⁡ωt+B cos⁡ωt

with

                                      photostr6

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