Qstnid -Iv-10-both The Springs Shown In Figure (5-e2) Are Unstretched. If The Block Is Displaced By A Distance X And Released, What Will Be The Initial Acceleration? <Span Style="background-color: #Ff0000;">figure</span> - 05: Newton's Laws Of Motion - Cbse-xi-physics

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CBSE-XI-Physics

05: Newton's Laws of Motion

with Solutions - page 5

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#10
Both the springs shown in figure (5-E2) are unstretched. If the block is displaced by a distance x and released, what will be the initial acceleration?
Figure
Ans : Let the block m be displaced towards left by displacement x.

∴ F₁ = `` -``k₁x (compressed)
F₂ = `` -``k₂x (expanded)
`` ma={F}_{1}+{F}_{2}``
`` \Rightarrow a=\frac{-x\left({k}_{1}+{k}_{2}\right)}{m}``
i.e. `` \left({k}_{1}+{k}_{2}\right)\frac{x}{m}`` opposite the displacement or towards the mean position.
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