A Thin Rectangular Plate of Uniform Density $\sigma$ ₁ = 1 $\sigma$

question 49

Multiple Choice

A thin rectangular plate of uniform density $\sigma$ ₁ = 1.67 kg/m² has a length a = 0.740 m and a width of b = 0.330 m.The lower left hand corner is placed at the origin,(x,y) = (0,0) .A circular hole is cut in the plate of radius r = 0.064 m with center at (x,y) = (0.084 m,0.084 m) and replaced with a circular disk with the same radius composed of another material of the same thickness with uniform density $\sigma$ 2 = 5.94 kg/m².What is the distance of the resulting plate's center of mass from the origin? (in m)

• A)0.157
• B)0.209
• C)0.278
• D)0.370
• E)0.492

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