Moment of Inertia of Right Circular Cone about Slant Height

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I need to find the moment of inertia of a right circular cone about an axis along its slant height. The cone's height is $H$, radius $R$, and its mass is $M$. The mass distribution is uniform.



Though I've been able to compute the moment of inertia of a cone about its longitudinal axis and about a line through its vertex perpendicular to its longitudinal axis, I'm stuck with this. Please help.




calculus integration




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    down vote

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    I need to find the moment of inertia of a right circular cone about an axis along its slant height. The cone's height is $H$, radius $R$, and its mass is $M$. The mass distribution is uniform.



    Though I've been able to compute the moment of inertia of a cone about its longitudinal axis and about a line through its vertex perpendicular to its longitudinal axis, I'm stuck with this. Please help.




    calculus integration




    share|cite|improve this question























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I need to find the moment of inertia of a right circular cone about an axis along its slant height. The cone's height is $H$, radius $R$, and its mass is $M$. The mass distribution is uniform.



      Though I've been able to compute the moment of inertia of a cone about its longitudinal axis and about a line through its vertex perpendicular to its longitudinal axis, I'm stuck with this. Please help.




      calculus integration




      share|cite|improve this question













      I need to find the moment of inertia of a right circular cone about an axis along its slant height. The cone's height is $H$, radius $R$, and its mass is $M$. The mass distribution is uniform.



      Though I've been able to compute the moment of inertia of a cone about its longitudinal axis and about a line through its vertex perpendicular to its longitudinal axis, I'm stuck with this. Please help.





      calculus integration





      share|cite|improve this question












      share|cite|improve this question




      share|cite|improve this question








      edited Aug 2 at 14:05









      caverac

      11k2927




      11k2927









      asked Aug 2 at 12:58









      Soumil Aggarwal

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