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R/2 1. The structure shown above is made of wires soldered together, and it is placed on a flat tabletop and confined to move in a plane. The structure consists of a circle of radius R, a rod of length 2R passing through the midpoint of a radius, and a rod of length d. All wires have uniform density m/R a. Find the position of the CM (center of mass) measured from the bottom. Express your answer in the form of R f(x) where x - d/R b. Find the gravitational potential energy as a function of angle 6if the structure is tipped by e c. Find the condition on d/R needed for the structure to be in a stable equilibrium in the vertical position as it is shown in the picture.

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