Question
Question: ABC is a triangular plate of uniform thickness. The sides are in te ratio shown in the figure. IAB,I...
ABC is a triangular plate of uniform thickness. The sides are in te ratio shown in the figure. IAB,IBC,ICA are the moments of inertia of the plate about AB, BC, CA respectively. Which one of the following relations is correct:
A
ICA is maximum
B
IAB > IBC
C
IBC > IAB
D
IAB + IBC = ICA.
Answer
IBC > IAB
Explanation
Solution
Distribution of mass about BC axis is more than that about AB axis i.e. radius of gyration about BC axis more than that about AB axis.
i.e. KBC > KAB IBC > IAB > ICA