- #1
DevonZA
- 181
- 6
Homework Statement
Homework Equations
Centre of gravity: X=m1x1-m2x2/m1-m2
MOI rectangle: 1/3ml^2
MOI triangle: 1/18md^2
Radius of gyration: Ixx=mk^2
The Attempt at a Solution
Mass of body 1: b*l*p = 0.8*1*10=8kg
Mass of body 2: 1/2b*h*p = 1/2(0.4)*0.6*10=1.2kg1.1
X=m1x1-m2x2/m1-m2
= 8*(-400)-1.2*(-1000/3)/8-1.2
= -411.7mm
1.2
Ixx= 1/3ml^2 - 1/18md^2
= 1/3*8*1^2 - 1/18*1.2*0.2^2
=2.664m^4
1.3
Ixx=mk^2
2.664=(8-1.2)*k^2
k=625.91mm