Find the center of mass of the motorcycle plus its riders shown in Figure 5.30,

Question

Find the center of mass of the motorcycle plus its riders shown in Figure 5.30, given the following information: the rider has a mass of 62.5 kg and his center of mass is 1.20 m above the wire; the motorcycle's mass is 125 kg and its center of mass is 0.300 m above the wire; and the passenger and swing have a mass of 70.0 kg and their center of mass is 1.75 m below the wire. The CMs are all on the same vertical line.

-4.00 Incorrect: Your answer is incorrect. cm Correct: Your answer is correct.

Figure 5.30

Explanation / Answer

As there are three objects in the system

x = [1 / m1 + m2 + m3] * [m1 x1 + m2x2+ m3x3]

= [1 / 62.5 + 125 + 70] * [(62.5 * 1.2) + (125 * 0.300) + (70 * -1.75)]

= -0.0388 m = -3.88 cm

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