Question

The figure shows an isosceles triangular plate of mass M and base L. The angle at the apex is ${90}^o$. The apex lies at the origin and the base is parallel to X-axis.
The moment of inertia of the plate abut the x-as :

• A. $\frac{M{L}^2}{8}$
• B. $\frac{M{L}^2}{32}$
• C. $\frac{M{L}^2}{24}$
• D. $\frac{M{L}^2}{6}$

Answer 1

The correct option is C $\frac{M{L}^2}{24}$

MOI of a triangle about axis theory through a point along the plane$=\frac{1}{2}m\left(Area\right)=\frac{1}{2}m(\frac{l}{2}\times \frac{l}{2})=\frac{1}{8}m{l}^2$