My right angled triangle has sides measuring n, n^2, n^3.
Evaluate its area, perimeter and centre of gravity.
(In reply to
Partial answer by Charlie)
There is a parenthesis out of place in the 3rd line.
IIRC, the way to get the CG in a given direction is to take a weighted integral like Integral (x * f(x)) dx / Integral (f(x)) dx
I didn't go through this since I think for a triangle you can draw 3 lines each parallel to a side and 1/3 the distance from that side to the opposite vertex; and they intersect at the Center of Gravity.
|
|
Posted by Larry
on 2024-01-15 18:49:53 |
re: Partial answer
