A uniform, square metal plate with side L = 6.40 cm and mass 0.395 kg is located

Question

A uniform, square metal plate with side L = 6.40 cm and mass 0.395 kg is located with its lower left corner at (x,y) = (0,0), as shown in the figure. A square with side L/4 and its lower left edge located at (x,y) = (0,0) is removed from the plate. What is the distance from the origin of the center of mass of the remaining plate?

A uniform, square metal plate with side L = 6.40 cm and mass 0.395 kg is located with its lower left corner at (x,y) = (0,0), as shown in the figure. A square with side L/4 and its lower left edge located at (x,y) = (0,0) is removed from the plate. What is the distance from the origin of the center of mass of the remaining plate?

Explanation / Answer

M=density*volume = dtL^2

m=dt(L/4)^2 = M/16 =0.395/16=0.0247kg

X(bar) = X(bar) of total plate - X(bar) of small plate = L/2-L/8 =3L/8=2.4cm

Y(bar)=Y(bar) of total plate-Y(bar) of small plate = L/2-L/8 = 2.4 cm

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