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A circular disc P of radius R is made from an iron plate of thickness t and another disc Q of radius 2R is made from an iron plate of thickness `(t)/(2)`. The relation between their moments of inertia `I_(p)` and `I_(Q)` about their natural axes isA. `I_(Q)=4I_(P)`B. `I_(P)=8I_(Q)`C. `I_(P)=4I_(Q)`D. `I_(Q)=8I_(P)` |
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Answer» Correct Answer - D `I_(P)=(MR^(2))/(2)` `(((pi R^(2))t)rho(R^(2)))/(2)=(pi t rho R^(4))/(2)` `I_(Q)=(MR^(2))/(2)` `=((pi(2R)^(2)(t//2))rho(2R)^(2))/(2)` `= (pi t rho(8 R^(4)))/(2)=8I_(P)`. |
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