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A compound sphere is made by joining a hemispherical shell and a solid hemisphere of same radius `R` and same mass as shown in figure. This system is kept between two smooth parallel walls and a smooth floor with the hollow hemisphere on the top as shown in figure. The maximum angular velocity of the compound shere when the system is slightly disturbed is `(` all surfaces are smooth `)` A. `sqrt((15g)/(64R))`B. `sqrt((15g)/(32R))`C. `sqrt((15g)/(16R))`D. `sqrt((15g)/(8R))` |
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Answer» Correct Answer - B Change in `PE=` Increase in `K.E.` `Mg[(R)/(2)2-(3R)/(8)2]=(1)/(2)[(2)/(5)MR^(2)+(2)/(3)MR^(2)]omega^(2)(g)/(4)` `=(2)/(2)[(1)/(5)+(1)/(3)]Romega^(2) sqrt((15g)/(32R))=omega` |
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