Find the center of mass of a thin plate of constant density covering the given region bounded by lines thru the following points: (0,0),(2,0) and (1,6)

center of mass = ( 1 ,2 )

Step-by-step explanation:

attached below is the detailed solution of the problem

first we have to determine the value of m

M = ∫∫ dA

   = 6

Mx = 12

attached solution below

My = 6

hence center of mass of a thin plate

   x       ,    y

= My/m , Mx/m

= 6/6  ,   12/6

= ( 1, 2 )

x/3-10=8

x/3=18

x=48