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» ANSWER :`2nsqrt(((pi-2)R)/(G))`