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Use proper calculus. (a) A conical shell has mass M, height h, and base radius R,...

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Physics

Use proper calculus. (a) A conical shell has mass M, height h,and base radius R, Assume it is made from thin sheet of uniformthickness, Derive its center of mass and moment of inertia aboutits symmetry axis. (b) Derive the formula for the center of massand the moment of inertia of a solid sphere, and then that of themoment of inertia about an axis tangent to the surface. (c) Derivethe formula for the moment of inertia of a thin shell (hollowsphere).

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aLet us consider a solid cone of mass Mbase radius R andheight hThe mass per unit volume of cone is given byR2hLetbe the semivertical angle    See Answer
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