# 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 $$A$$, the other at $$B$$. These strings are tied together at the center of the hoop at $$O$$, and a weight $$G$$ is suspended from that point. The strings have a fixed length, regardless of the tension, and the weight $$G$$ is only supported by the strings. Originally $$OA$$ is horizontal.

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

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

×