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Portion `AB` of the wedge shown in figure is rough and `BC` is smooth. A solid cylinder rolld without slipping from `A` to `B`. Find the ratio of translational kinetic energy to rotationa linetic energy, when the cylinder reaches point `C`. .A. `3//5`B. 5C. `7//5`D. `8//3` |
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Answer» Correct Answer - B `K=betaK_(T)` or `K_(T)+K_(R)=betaK_(T)` `K_(R)=(beta-1)K_(T)rArrK_(R)=(1)/(2)K_(T)` At point B: `K_(T)+K_(R)=mgxxh` `:. K_(R)=(mgh)/(3)` At point `C: K_(T)+(mgh)/(3)=mgxx2h` `K_(T)=(5mgh)/(3)` `:. (K_(T))/(K_(R))=5` |
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