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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? - Physics

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Sum

Both the springs shown in the following figure are unstretched. If the block is displaced by a distance x and released, what will be the initial acceleration?

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Solution

Let the block m be displaced towards left by displacement x.

\[\therefore F_1 = -K_1X\]  (compressed)
\[ F_2 = -K_2X\]  (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.                                                            

Concept: Newton’s Second Law of Motion
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APPEARS IN

HC Verma Class 11, Class 12 Concepts of Physics Vol. 1
Chapter 5 Newton's Laws of Motion
Q 10 | Page 79
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