आवेग: Difference between revisions
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([[अंग्रेज़ी भाषा|अंग्रेज़ी]]:Velocity) [[बल]] और समयान्तराल के गुणनफल को बल का '''आवेग''' कहते हैं। | ([[अंग्रेज़ी भाषा|अंग्रेज़ी]]:Velocity) [[बल]] और समयान्तराल के गुणनफल को बल का '''आवेग''' कहते हैं। | ||
यदि किसी पिंड पर एक नियम बल <math>\mathbf{F}</math> को <math>\bigtriangleup \mathbf{t}</math> समान्तराल के लिए लगाया जाये, तो इस बल का आवेग <math>\mathbf{F}</math> x <math>\bigtriangleup \mathbf{t}</math> होगा। आवेग एक | यदि किसी पिंड पर एक नियम बल <math>\mathbf{F}</math> को <math>\bigtriangleup \mathbf{t}</math> समान्तराल के लिए लगाया जाये, तो इस बल का आवेग <math>\mathbf{F}</math> x <math>\bigtriangleup \mathbf{t}</math> होगा। आवेग एक राशि है। इसकी दशा वही होगी जो बल की है। | ||
माना कि किसी पिण्ड का [[द्रव्यमान]] <math>\mathbf{m}</math> है। इस पर नियम बल <math>\mathbf{F}</math> को <math>\bigtriangleup \mathbf{t}</math> समयांतराल के लिए लगाने पर [[वेग]] में <math>\bigtriangleup \mathbf{v}</math> परिवर्तन हो जाता है। तब न्यूटन के नियमानुसार- | माना कि किसी पिण्ड का [[द्रव्यमान]] <math>\mathbf{m}</math> है। इस पर नियम बल <math>\mathbf{F}</math> को <math>\bigtriangleup \mathbf{t}</math> समयांतराल के लिए लगाने पर [[वेग]] में <math>\bigtriangleup \mathbf{v}</math> परिवर्तन हो जाता है। तब न्यूटन के नियमानुसार- | ||
Revision as of 12:11, 26 August 2011
(अंग्रेज़ी:Velocity) बल और समयान्तराल के गुणनफल को बल का आवेग कहते हैं।
यदि किसी पिंड पर एक नियम बल Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {F}} को Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \bigtriangleup {\mathbf {t}} समान्तराल के लिए लगाया जाये, तो इस बल का आवेग Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {F}} x Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \bigtriangleup {\mathbf {t}} होगा। आवेग एक राशि है। इसकी दशा वही होगी जो बल की है।
माना कि किसी पिण्ड का द्रव्यमान Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {m}} है। इस पर नियम बल Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {F}} को Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \bigtriangleup {\mathbf {t}} समयांतराल के लिए लगाने पर वेग में Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \bigtriangleup {\mathbf {v}} परिवर्तन हो जाता है। तब न्यूटन के नियमानुसार-
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {F}} = Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {m}} X Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {a}} = Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {m}} X Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\frac {\bigtriangleup v}{\bigtriangleup t}}
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {F}} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \bigtriangleup {\mathbf {t}} = Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {m}} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \bigtriangleup {\mathbf {v}}
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \because Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {m}} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \bigtriangleup {\mathbf {v}} = Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \bigtriangleup {\mathbf {p}}
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \therefore Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {F}} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \bigtriangleup {\mathbf {t}} = Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \bigtriangleup {\mathbf {p}}
अतः किसी पिंड को दिया गया आवेग, पिंड में उत्पन्न संवेग–परिवर्तन के बराबर होता है। अतः आवेग का मात्रक भी वही होता है जो संवेग (न्यूटन.सेकेण्ड) का है।
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