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(c) z -axis (The z -axis is perpendicular to the x y -plane and points out of th

ID: 2022334 • Letter: #

Question

(c) z-axis (The z-axis is perpendicular to the xy-plane and points out of the page.)
3 g cm2

(d) What are the x and y-coordinates of the center of mass of the system?
xCM = 4 cm
yCM = 5 cm

Point particle A has a mass of 205 g and is located at (x, y, z) = (-1.0 cm, 6.5 cm, 0), point particle B has a mass of 275 g and is at (4.5 cm, 0, 0), and point particle C has a mass of 485 g and is at (-4.0 cm, -4.0 cm, 0). (c) z-axis (The z-axis is perpendicular to the xy-plane and points out of the page.) g cm2 (d) What are the x and y-coordinates of the center of mass of the system? xCM = cm yCM = cm

Explanation / Answer

M = 205 + 275 + 485 = 965 g the total mass Xcm = [205 * (-1) + 275 * 4.5 + 485 * (-4)] / 965 = -908 / 965 = -.94 cm Ycm = [205 * (6.5) + 275 * 0 + 485 * (-4)] / 965 = -608 / 965 = - .63 cm