question_answer

Three point masses, each of mass M are placed at the corners of an equilateral triangle of side L. The moment of inertia of the system about an axis along one side of the triangle is

A) \[\frac{3}{4}M{{L}^{2}}\]                             

B) \[M{{L}^{2}}\]

C) \[{{R}_{1}}\]

D) \[{{R}_{2}}\]

Correct Answer: C

Solution :

                From the triangle BCD \[9.13\times {{10}^{3}}N/{{m}^{2}}\] \[\text{5}.\text{25}\times \text{1}{{0}^{\text{3}}}\text{min}\] \[\left[ \text{FL}{{\text{T}}^{-\text{2}}} \right]\] \[\left[ \text{F}{{\text{L}}^{\text{2}}}{{T}^{-\text{2}}} \right]\] Moment of inertia of system along the side AB \[\left[ \text{F}{{\text{L}}^{-\text{1}}}{{\text{T}}^{\text{2}}} \right]\] \[\left[ {{\text{F}}^{2}}\text{L}{{\text{T}}^{\text{-2}}} \right]\] \[-\text{273}.\text{15}{}^\circ \text{F}\]