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q disc of mass m and radius R has a concentric hole of radius r. its moment of inertia about an axis through its centre and prependicular to its plane is?

q disc of mass m and radius R has a concentric hole of radius r. its moment of inertia about an axis through its centre and prependicular to its plane is?
 

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Grade:11

1 Answers

Arun
25750 Points
5 years ago
Consider a ring of radius x and thickness DX of the disc The MI of the ring about a normal axis through which its centre is dI =(2πx.dx.x^2)/π[R^2_r^2]The total MI of the disc is obtained by integrating the above expressionIntegrations I=integration {m/π(R^2-r^2)}.2πx.dx.x^2On solvingI={m(R^2 + r^2)}/2
 
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Arun

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