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how do we calculate the moment of inertia of a solid cone?
Hi Deepak, Divide the Cone into Infinitesimal Discs as shown in the figure Now calculate the Moment of Inertia of this disc using sdn as the nass and a proportional radius of t6his disc of infinitesimal thickness found using similar triangles Then integrate using the following formula I = ∫r2dm In this case r would be varying and so you have to determine dm in terms of r and dr Then integrate over the whole cone Regards
Hi Deepak,
Divide the Cone into Infinitesimal Discs as shown in the figure
Now calculate the Moment of Inertia of this disc using sdn as the nass and a proportional radius of t6his disc of infinitesimal thickness found using similar triangles
Then integrate using
the following formula
I = ∫r2dm
In this case r would be varying and so you have to determine dm in terms of r and dr
Then integrate over the whole cone
Regards
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