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explain this please! Refer to figure 3. A non-uniform wheel of mass M, radius R,

ID: 2112280 • Letter: E

Question

explain this please!

Refer to figure 3. A non-uniform wheel of mass M, radius R, and shape factor gamma is free to rotate about a vertical axis through its center. Note, gamma is arbitrary. A point mass m is attached to the center of the wheel via a massless beam of length 2R. The point mass rotates with the wheel. The entire apparatus is placed near a wall and a spring k is attached to the wheel a distance r from the axis. At equilibrium the spring is unstretched. The acceleration due to gravity points into the page. Give all answers in terms of the given variables (M, R, gamma, m, k, and r) as necessary. Determine the period, T, of small oscillations about equilibrium. [10 pt] Sketch a plot of T as a function of r on the domain 0

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