Find the x -coordinate of the center of mass of the composite object shown in th

Question

Find the x-coordinate of the center of mass of the composite object shown in the figure. The sphere, cylinder, and rectangular solid all have a uniform composition. Their masses and dimensions are: sphere: 200 g, diameter = 10 cm; cylinder: 450 g, length = 36 cm, radius = 5.0 cm; rectangular solid: m = 335 g, length in x-direction = 16 cm, height = 10 cm, depth = 12 cm.

Answer: _____________________cm

Find the x - coordinate of the center of mass of the composite object shown in the figure. The sphere, cylinder, and rectangular solid all have a uniform composition. Their masses and dimensions are: sphere: 200 g, diameter = 10 cm; cylinder: 450 g, length = 36 cm, radius = 5.0 cm; rectangular solid: m = 335 g, length in x - direction = 16 cm, height = 10 cm, depth = 12 cm.

Explanation / Answer

xcm = (m1*x1) + (m2*x2)+(m3*x3)/(m1+m2+m3)

x1 = 5cm

x2 = 10+18 = 28 cm

x3 = 10+36+8 = 54cm

xcm = ((200*5)+(450*28)+(335*54))/(200+450+335)

xcm = 32.17 cm

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