एक nonlinear स्प्रिंग द्वारा लगाया गया बल \( F \) इसकी लंबाई में वृद्धि \( x \) के साथ समीकरण \(...

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एक nonlinear स्प्रिंग द्वारा लगाया गया बल \( F \) इसकी लंबाई में वृद्धि \( x \) के साथ समीकरण \( F=-k_{1} x^{2}-k_{2} x^{4} \) के अनुसार बदलता है। इसके एक किनारे को स्थिर रखते हुए दूसरे किनारे पर बँधी वस्तु को धीरे-धीरे खींचा जाता है। स्प्रिंग की लंबाई उसकी स्वाभाविक लंबाई से \( x_{0} \) बढ़ने तक में स्प्रिंग के बल द्वारा वस्तु पर किए गए कार्य की गणना करें।
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