Question

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4 m1 m2 m3 1794 0 x1 x3 Three point masses lie along the x-axis ·m1 = 5.5 kg; x1 = 1.1 m m2-6.6 kg; x2- 1.6 nm m3 8.0 kg; x3-3.1 m This problem DOES need to be written out for your portfolio NOTES IMAGES DISCUSS UNITS STATS HELP Part Description Answer Chk History Determine the x coordinate of the center of mass (include units with answer) 13.75 pts. 11096 # tries: 0 Show Details Format Check 296 try penalty Hints: 0,0 Determine the location of a fourth mass, m4-6.9 kg, such that the center of mass is 3.3 m (include units with answer) 13.75 pts. 11096 # tries: 0 Show Details Format Check 296 try penalty Hints: 0,0

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Answer 1

M_1 = 5.5kg x_1 = 1.1m m_2 = 6.6kg x_2 = 1.6m m_3 = 8.0kg x_3 = 3.1m Centre of mass = m_1 x_1 + m_2 x_2 + m_3 x_3/m_1 + m_2 + m_3 = (5.5 times 1.1) + (6.6 times 1.6) + (8.0 times 3.1)/5.5 + 6.6 + 8.0 = 41.41/20.1 X_com = 2.06 X_com = 2.06m Given that, X_com = 3.3m 3.3 = 41.41 + (6.9 times x_4)/20.1 + 6.9 3.3 = 41.41 + 6.9 x_4/27 6.9 x_4 = (27 times 3.3) - 41.41 x_4 = 6.91m