InterviewSolution
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InterviewSolution
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A solid sphere is in rolling motion. In rolling motion a body prosseses translational kinetic energy `(K_(t))` as well as rotational kinetic energy `(K_(r))` simutaneously. The ratio `K_(t) : (K_(t) + K_(r))` for the sphere isA. `10:7`B. `5:7`C. `7:10`D. `2:5` |
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Answer» Correct Answer - B `K_(t)=(1)/(2)mv^(2)` `K_(t)+K_(r)=(1)/(2)mv^(2)+(1)/(2)Iomega^(2) =(1)/(2) mv^(2)+(1)/(2)((2)/(5)mr^(2))((v)/(r))^(2)` `=(7)/(10)mv^(2)` So, `(K_(t))/(K_(t)+K_(r))=(5)/(7)` |
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