Practice portal › Oscillations › Velocity and Acceleration in SHM
Asked in NEET 2020 · v-x and a-x relations
Given: x=A sin ω t.
Idea: differentiate twice and compare the two sinusoids.
v=(dx)/(dt)=Aω cos ω t
a=(dv)/(dt)=-Aω² sin ω t
a=Aω² sin(ω t+π)
So the acceleration is the displacement turned through half a cycle: the phase difference is π rad.
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