Each of the three homogeneous plates welded to the rod has a density and a thickness

Question:

Each of the three homogeneous plates welded to the rod has a density ρ and a thickness a. Determine the length l of plate C and the angle of placement, θ, so that the center of mass of the assembly lies on the y axis. Plates A and B lie in the x–y and z–y planes, respectively.

Units Used:

Mg = 1000 kg

Given:

a = 10 mm       f = 100 mm

b = 200 mm     g = 150 mm

c = 250 mm     e = 150 mm

ρ = 6Mg/m3



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