Question

What would the equations for the moments of inertia about each axis be for the pictures below

Answer 1

by using integration , unitary method, paralel and perp. axis theorems , i got the following answers
fig. 1
abt. axis 1=(mh^2)/12
abt. axis2=(mb^2)/12

fig.2
I=(mh^2)/12 + (mb^2)/12

fig. 3
I=5(mr^2)/4

fig.4
5[(m1r1^2)+(m2r2^2)]/4


fig. 5
i'm working on it

i had posted each and every step of my solution but the page refreshed itself automatically
now it's getting really late for me so if my answers are correct and you need the solutions, i'll post them tomorrow

hope this helps:)