A rod of mass M kg and length L m is bent in the form of an equilateral triangle as shown in Fig. The moment of inertia of the triangle about a vertical axis perpendicular to the plane of the triangle and passing through the centre O (in$$ units of kg $$m2) is

Question

A rod of mass M kg and length L m is bent in the form of an equilateral triangle as shown in Fig. The moment of inertia of the triangle about a vertical axis perpendicular to the plane of the triangle and passing through the centre O (in$$ units of kg $$m2) is

Infinity Learn · Accepted Answer

Mass of each side $$=$$ $$M3x$$ $$=$$ $$13$$[$$L3cos$$ $$30$$°] $$=$$ $$L323moment$$ of inertia of one side about O:I $$=$$ [$$112M3(L3)2+M3x2$$] $$=$$ $$ML2162moment$$ of inertia of whole triangle about O : $$3I$$ $$=$$ $$ML254$$

A rod of mass M kg and length L m is bent in the form of an equilateral triangle as shown in Fig. The moment of inertia of the triangle about a vertical axis perpendicular to the plane of the triangle and passing through the centre O (in units of kg $m^{2}$ ) is

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A rod of mass M kg and length L m is bent in the form of an equilateral triangle as shown in Fig. The moment of inertia of the triangle about a vertical axis perpendicular to the plane of the triangle and passing through the centre O (in units of kg m2) is

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A rod of mass M kg and length L m is bent in the form of an equilateral triangle as shown in Fig. The moment of inertia of the triangle about a vertical axis perpendicular to the plane of the triangle and passing through the centre O (in units of kg $m^{2}$ ) is