Three beads are placed on the vertices of an equilateral triangle of side d = 2.6 cm. The first bead of mass m₁ = 105 g is placed on the top vertex. The second bead of mass m₂ = 45 g is placed on the left vertex. The third bead of mass m₃ = 95 g is placed on the right vertex.

Part (a) Write a symbolic equation for the horizontal position of the center of mass relative to the left vertex of the triangle.

Part (b) Calculate the numeric value of the location of the horizontal component of the center of mass relative to the left vertex in cm.

Part (c) Write a symbolic equation for the location of the vertical component of the center of mass relative to the base of the triangle.

Part (d) Calculate the numeric value of the vertical component of the center of mass relative to the base of the triangle in cm.