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Question

કુલ ઉર્જા $ = \,\, \frac{1}{2}\,\,\,I{\omega ^2} + \frac{1}{2}\,\,m{v^2}\,\,\, = \,\,\frac{1}{2}\,\,(m{K^2})\,\,\,\left( {\frac{{{v^2}}}{{{R^2}}}

Vedclass · Accepted Answer

$\frac{{{K^2}}}{{{K^2} + {R^2}}}$

Vedclass · Answer

કુલ ઉર્જા $ = \,\, \frac{1}{2}\,\,\,I{\omega ^2} + \frac{1}{2}\,\,m{v^2}\,\,\, = \,\,\frac{1}{2}\,\,(m{K^2})\,\,\,\left( {\frac{{{v^2}}}{{{R^2}}}} \right)\,\,\, + \,\,\frac{1}{2}\,\,m{v^2}$

$\, = \,\,\,\frac{1}{2}\,\,m{v^2}\,\,\left[ {1 + \frac{{{K^2}}}{{{R^2}}}} \right]$

ચલગતિ ઉર્જા $ = \,\,\, \frac{1}{2}\,\,I{\omega ^2} = \,\,\,\frac{1}{2}\,\,(m{K^2})\,\,\left( {\frac{{{v^2}}}{{{R^2}}}} \right)\,\,$ 

$ = \,\,\,\frac{1}{2}\,\,\,m{v^2}\,\,\,\left( {\frac{{{K^2}}}{{{R^2}}}} \right)$

ચકગતિ ઉર્જા/કુલ ઉર્જા $ = \,\,\,\frac{{\frac{1}{2}\,\,m{v^2}\,\,\left( {\frac{{{K^2}}}{{{R^2}}}} \right)}}{{\frac{1}{2}\,\,m{v^2}\,\,\left( {1 + \frac{{{K^2}}}{{{R^2}}}} \right)}}\,\,\,\, = \,\,\,\frac{{{K^2}}}{{{K^2} + {R^2}}}$

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