A Thin 2-Dimensional Object with Uniform Mass Density Is in the Shape

Multiple Choice

A thin 2-dimensional object with uniform mass density is in the shape of a square and has a mass of 2 kg.The sides of the square are 20 cm long each.The coordinate system is drawn with the origin at the center of the square.A point mass,m,of 200 g is placed at one corner of the square object and the assembly is held in equilibrium by positioning the support S at position (x,y) as shown in the drawing.Find the location of the support.

A) (-0.5 cm,-0.5 cm)
B) (-0.91 cm,-0.91 cm)
C) (-0.8 cm,-0.8 cm)
D) (-0.62 cm,-0.62 cm)
E) (-0.35 cm,-0.35 cm)