# solution 1 : Centre of gravity, Moment of inertia (page 481) y = sqrt(1-x*x) M = integral(y, x, 0, 1) xbar = 1/M * integral(x*y, x, 0, 1) ybar = xbar Ix = 1/3*integral(y**3, x, 0, 1) Iy = Ix Io = Ix + Iy print 'Moment of Inertia : ', M print 'co-ordinates of centre of gravity : ',xbar,ybar print 'Ix : ',Ix print "Iy : ",Iy print "Io : ",Io

Kreyszig-9.3-1 (last edited 2010-12-15 12:59:49 by 172)