three particles each of mass m gram, are situated at the vertices of an equilateral trangle ABC of side l - Physics - System Of Particles And Rotational Motion

Question

three particles each of mass m gram, are situated at the vertices
of an equilateral trangle ABC of side l cm The moment of inertia of
the system about a line AX perpendicular to AB and in the plane of
ABC will be

Dinesh Pandey · Accepted Answer

Dear Student,

The moment of inertia about the line AX, IAX=ml2+md2We know that,sinθ=perpendicularhypotenusesin30°=dl12=dld=l2Therefore, IAX=ml2+ml22IAX=ml2+ml24IAX=5ml24

three particles each of mass m gram, are situated at the vertices of an equilateral trangle ABC of side l cm The moment of inertia of the system about a line AX perpendicular to AB and in the plane of ABC will be