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1.2.4 Acceleration
From v = vo cos ω t = x0 ω cos ω t
where xo is the maximum displacement
differentiating we get
![](https://iwant2study.org/lookangejss/02_newtonianmechanics_8oscillations/ejss_model_SHM10/SHM10/2015-02-16_1358.png)
Variation with time of acceleration
In terms of x:
Therefore, a = - xo ω2 sin ω t
= - ω2 (xo sin ω t)
which is the defining equation for S.H.M. !
a = - ω2 x
![](https://iwant2study.org/lookangejss/02_newtonianmechanics_8oscillations/ejss_model_SHM10/SHM10/2015-02-16_1345.png)
Variation with displacement of acceleration
since
a = – a0sin ω t
where ao is the maximum acceleration
where by a0 = ω2 (xo)
![](https://iwant2study.org/lookangejss/02_newtonianmechanics_8oscillations/ejss_model_SHM10/SHM10/SHMavsx.gif)
1.2.3.1 Model:
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- Parent Category: 02 Newtonian Mechanics
- Category: 09 Oscillations
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