2 A rectangular metal frame with height 2L and width 4L has

2. A rectangular metal frame, with height 2L and width 4L, has a lL-by-1L corner section removed, as shown below. The center of mass of this shape is located at: y\' 2L 0 2L 4L A) x = 1.65L, y = 0.85L B) x = 1.65L, y = 0.75L C) x = 1.425L, y = 0.65L D) x = 1.425L, y = 0.75L E) x = 1.425L, y = 0.85L

Solution

Let mass of L length rod =m and uniformly distributed

centre of mass

x_cm =[4m(2l)+2m(0)+m(4L)+3m(3L/2)]/(4m+2m+m+3m)

=1.65L

X_cm=[4m(0)+2m(l)+3m(2l)+m(l/2)]/(4m+2m+3m+m)

=0.85L