The pendulum consists of two slender rods AB and OC which have a mass density r. The

The pendulum consists of two slender rods AB and OC which have a mass density ρr. The thin plate has a mass density ρp. Determine the location yc of the center of mass G of the pendulum then calculate the moment of inertia of the pendulum about an axis perpendicular to the page and passing through G.

Given:

ρr = 3 kg/m

ρs = 12 kg/m2

a = 0.4 m

b = 1.5 m

c = 0.1 m

d = 0.3 m

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B.