A metallic sheet of mass $$2$$ kg has the shape of an isosceles triangle OAB as shown in figure. Then its moment of inertia about an axis passing through O and perpendicular to its plane is

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Infinity Learn · Accepted Answer

If four such triangles are assembled a square ABCD is formed as shown in figure. Whose side $$l=2$$×$$2cos45o$$ $$m=22$$ m.$$ml=Mass$$ of the square $$=4$$×$$2$$ $$Kg=8$$ KgMoment of inertia of the square about an axis passing through O and perpendicular to its plane is given by $$I01=112m1l2+112m1l2=16$$×$$8$$×$$222Kg$$−$$m2=323Kg$$−$$m2$$∴ Moment of inertia of the triangle ABC, $$I0=I014=83Kg$$−$$m2$$

A metallic sheet of mass 2 kg has the shape of an isosceles triangle OAB as shown in figure. Then its moment of inertia about an axis passing through O and perpendicular to its plane is

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