- #1
Karol
- 1,380
- 22
Homework Statement
Show that the moment of inertia of a rectangular plate round it's diagonal, line B-B is equal to the one round a line parallel to one of the edges and passing through the center, line C-C
Homework Equations
Moment of inertia: ##I=mr^2##
The Attempt at a Solution
For the first case, round the diagonal: the MOI of a straight angle and isosceles triangle round one of the 2 identical edges is ##I=\frac{1}{6}ma^2##, and if i divide the plate into 4 such rectangles and calculate MOI it equals the one round line C-C.
But is there an easier way?