Paragraph The figure shows an isosceles triangular plate of mass M and base L. The angle at the apex is 90°. The apex lies at the origin and the base is parallel to X–axis. The moment of inertia of th

Question

Paragraph The figure shows an isosceles triangular plate of mass M and base L. The angle at the apex is 90°. The apex lies at the origin and the base is parallel to X–axis. The moment of inertia of the plate about the x -axis is :-

TestHub · Accepted Answer

d m = ℓ 2 2 M ​ x d x d I = x 2 d m I = ℓ 2 2 M ​ ∫ ℓ /2 ℓ ​ x 3 d x I = ℓ 2 2 M ​ [ 4 x 4 ​ ] ℓ /2 ℓ ​ I = 8 M ℓ 2 ​

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