Stuck on this one Please help THE FIGURE IS NOT DRAWN TO SCA
Stuck on this one. Please help!
THE FIGURE IS NOT DRAWN TO SCALE. The area shown is a (blue) solid trapezoid with two (white) cutouts (holes), one rectangular and one semicircular.Solution
a) Ixx = Ixx big_rectangle + Ixx big_triangle - Ixx small_rectangle - Ixx semicircle
Ixx big_rectangle = 11.2 * 11.9^3 / 12 + 11.2 * 11.9 * 5.95^2
Ixx big_triangle = 6.8 * 11.9^3 / 12
Ixx small_rectangle = 2 * 3.9^3 /12 + 2 * 3.9 * 3.95^2
Ixx semicircle = pi * 3^4 / 8
Therefore Ixx = 7082.789 cm^4
b) Iyy = Iyy big_rectangle + Iyy big_triangle - Iyy small_rectangle - Iyy semicircle
Ixx big_rectangle = 11.9 * 11.2^3 / 12 + 11.2 * 11.9 * 5.6^2
Ixx big_triangle = 11.9 * 6.8^3 / 12 + 0.5 * 11.9*6.8 * 11.2^2
Ixx small_rectangle = 3.9 * 2^3 /12 + 2 * 3.9 * 12^2
Ixx semicircle = pi * 3^4 / 8 + 0.5 * pi * 3^2 * 6^2
Therefore Ixx = 9293.4485 cm^4
