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Momentum

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How to find moment of inertia of a triangle about its centre of mass

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Q. Three rods, each of mass m and length l are joined together to form a n equilateral triangle Find the moment of inertia of the system about an axis passing through its centre mass and perpendicular to the plane of the triangle.also find the radius of gyration about the same axis

Q. To find moment of inertia of a solid cylinder about transverse (Perpendicular) axis passing through its centre.

Q. A square plate is of mass

M

and length of the edge is

2 a

. Its Moment of inertia about its centre of mass axis, perpendicular to its plane is equal to

l_{0}

. Four identical disks are cut from the plane. Find the Moment of inertia of leftover square about the same axis.

Q. Moment of inertia of a ring of mass

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Q. The moment of inertia of a rod of length 'l' about an axis passing through its centre of mass and perpendicular to rod is 'I'. The moment of inertia of hexagonal shape formed by six such rods, about an axis passing through its centre of mass and perpendicular to its plane will be

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