A pipe in the form of a half ring is placed on a horizontal surface. If it is rotated through a small angle, and then released, assuming that it rolls without sliding determine the period of oscillations. The center of gravity of such a body is at distance `(2r)/pi)` from the center where r is the radius of the ring. Hint: `(vec_(c) = alpha rhat(i)` and `vec(a_(c)) = vec(a_(c)) +(veca_(G//c))_("tangent") +(veca_(G//c))_("normal")`

A pipe in the form of a half ring is placed on a horizontal surface. I

1.	A pipe in the form of a half ring is placed on a horizontal surface. If it is rotated through a small angle, and then released, assuming that it rolls without sliding determine the period of oscillations. The center of gravity of such a body is at distance `(2r)/pi)` from the center where r is the radius of the ring. Hint: `(vec_(c) = alpha rhat(i)` and `vec(a_(c)) = vec(a_(c)) +(veca_(G//c))_("tangent") +(veca_(G//c))_("normal")`
Answer» Correct Answer - `2nsqrt(((pi-2)r)/(g))`

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