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A uniform disc of radius R lies in xyplanewith its centre at origin. Itsmoment of inertiaabout the axisx = 2 Rand y =0is equal to the moment of inertiaabout the axisy =d and z = 0. Whatis d equal to ? |
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Answer» ` sqrt(17)/(2) R `  The axis x = 2 R , y=0 is in Z DIRECTION as shown in figure ,Usingtheoremof parallel AXES, `I_(1)=1/2 m R^(2) + m(2 R)^(2) + m (2 R)^(2) = 9/2 m R^(2)` ` THEREFORE 1/4 m R ^(2)+ m d^(2) = 9/2 m R^(2)` `MD^(2) = ( 9/2 -1/4) m R^(2)= 17/4m R^(2) Rightarrowd= sqrt(17)/(2) R ` |
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