Question

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)

Answer 1

center of mass = ( 1 ,2 )

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 )