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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?

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प्रश्न

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?

बेरीज
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उत्तर

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.                                                            

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पाठ 5: Newton's Laws of Motion - Exercise [पृष्ठ ७९]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
पाठ 5 Newton's Laws of Motion
Exercise | Q 10 | पृष्ठ ७९

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