Determine the distance yc to the centroid of the area and then calculate the moments of inertia

Question:

Determine the distance yc to the centroid of the area and then calculate the moments of inertia Iu and Iv for the channels cross-sectional area. The u and v axes have their origin at the centroid C. For the calculation, assume all corners to be square.


Given:

a = 150 mm

b = 10 mm

c = 50 mm

θ = 20 deg



Determine the distance yc to the centroid of the area


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