A) \[\frac{{{K}^{2}}}{{{R}^{2}}}\]
B) \[\frac{{{K}^{2}}}{{{K}^{2}}+{{R}^{2}}}\]
C) \[\frac{{{R}^{2}}}{{{K}^{2}}+{{R}^{2}}}\]
D) \[\frac{{{K}^{2}}+{{R}^{2}}}{{{R}^{2}}}\]
Correct Answer: B
Solution :
Rotational energy\[=\frac{1}{2}I{{(\omega )}^{2}}=\frac{1}{2}(m{{K}^{2}}){{\omega }^{2}}\] Linear kinetic energy \[=\frac{1}{2}m{{\omega }^{2}}{{R}^{2}}\] \[=\frac{\frac{1}{2}(m{{K}^{2}}){{\omega }^{2}}}{\frac{1}{2}(m{{K}^{2}}){{\omega }^{2}}+\frac{1}{2}m{{\omega }^{2}}{{R}^{2}}}=\frac{{{K}^{2}}}{{{K}^{2}}+{{R}^{2}}}\]You need to login to perform this action.
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