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

Question 56

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A thin rectangular plate of uniform density σ\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 σ\sigma 2 = 5.94 kg/m2.What is the distance of the resulting plate's center of mass from the origin? (in m)  A thin rectangular plate of uniform density   \sigma <sub>1</sub> = 1.67 kg/m<sup>2</sup> 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/m<sup>2</sup>.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


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

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