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

Question

#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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Answer 1 · 2017-06-24T06:47:28

#bary=17/14#

#barx=-5/14#

#M_y=13#
#M_x=-5#

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#