A Rigid Problem About A Rigid Hoop

A rigid hoop can rotate about the center. Two massless strings are attached to the hoop, one at A A , the other at B B . These strings are tied together at the center of the hoop at O O , and a weight G G is suspended from that point. The strings have a fixed length, regardless of the tension, and the weight G G is only supported by the strings. Originally OA OA is horizontal.

Now, the outer hoop will start to slowly rotate 90 90^\circ clockwise until OA OA will become vertical, while keeping the angle between the strings constant and keeping the object static. Which of the following statements about the tensions T1 T_1 and T2 T_2 in the two strings is correct?

Note: This problem appeared on the 2012 F = ma exam.

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