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Home  >>  JEEMAIN and AIPMT  >>  Physics  >>  Class11  >>  Oscillations
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A body has the following combinations of acceleration, position and velocity at one instant. Which of the following combinations describes $SHM$:

$\begin{array}{1 1}(a)\;6,3.5,3 \\(b)\;5,4,1 \\( c)\; 7,3,2 \\(d)\; none\;of\;the\;above \end{array}$

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Generally in a SHM if acceleration is $a\;\sin wt$ then velocity is $\large\frac{a}{v}$$ \cos wt +v_0$ & position is $\large\frac{a}{w^2} $$(1- \sin wt)+V_0$.
In special case in which initial condition are zero then $x= A \sin wt;v= Aw \cos wt \; \& \;accn=-Aw^2 \sin wt$.
Only in such cases $x, v \;\&\; accn$ from a GP with $'w'$ as the ratio.
Thus depending on initial conditions the acceleration, position & velocity can be in any proportion with the initial conditions added.
answered Dec 10, 2013 by meena.p
 

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