How do you find the moments M_x and M_y and the center of mass of the system?

m_1 = 4, m_2 = 3, m_3 = 2, m_4 = 5;

P_1(−4, 2), P_2(0, 5), P_3(3, 2), P_4(1, −2)

M_x = ???

M_y = ???

(x̄, ȳ) = ???

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1 Answer
Jun 24, 2017

bary=17/14

barx=-5/14

M_y=13
M_x=-5

Explanation:

to find centre of mass

barxsum m=summx

barysum m=summy

summ=4+3+2+5=14

14xx bary= (4xx2)+(3xx5)+(2xx2)+(5xx -2)

14xxbary=8+15+4+ -10

14bary=13

M_y=13

bary=17/14

14xxbarx=(4xx-4)+(3xx0)+(2xx3)+(5xx1)

14barx=-16+0+6+5

barx=-5/14

M_x=-5