Grade 11Mechanics
The moment of interia of a triangular lamina of mass M and height H about its base
The moment of interia of a triangular lamina of mass M and height H about its base
2 Answers
harshin nechooli
Approved Tutor Answer7 Years agoMain asking for moment of inertia you should first specify the axis of rotation I think it is on the base. the MHsq ÷6
Khimraj
Mass per unit area= M 1/2 ah
base= a
Moment of inerta= I = 1/2 x M/1/2ah x 1/2ax x xdx
x is the small strip along h from base
base= a
Moment of inerta= I = 1/2 x M/1/2ah x 1/2ax x xdx
x is the small strip along h from base
So, moment of inertia at base = 1/2 x M/h limit x².dx
= M/2h (x³/ 3)
= M/2h . h³/3
= Mh²/6
= M/2h (x³/ 3)
= M/2h . h³/3
= Mh²/6
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