A thin rod of length L and mass M is supported in a horizontal position by two strings, one attached to each end as shown in Figure. If one string is cut, the rod begins to rotate about the point where it connects to the other string (point A in the figure).

(a) Find the initial acceleration of the center of mass of the rod.

(b) Show that the initial tension in the string is mg/4 and that the initial angular acceleration of the rod about an axis through the point A is 3g/2L.

(c) At what distance from point A is the initial linear acceleration equal tog?

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A