(30) A narrow ring of mass

m

and radius

r

is free to rotate in the vertical plane\ about

O

. If the ring is released from rest at

\\\\theta =0

, determine the following\ quantities of the ring as a function of

\\\\theta

.\ (a) (6) Angular acceleration

\\\\alpha

,\ (b) (7) Angular speed

\\\\omega

,\ (c) (6) Notmal and tangential components of the linear acceleration of point

C

.\ (d) (11) Horizontal and vertical components of the reaction forces at point

O

.

(30) A narrow ring of mass m and radius r is free to rotate in the vertical plane about O. If the ring is released from rest at =0, determine the following quantities of the ring as a function of . (a) (6) Angular acceleration , (b) (7) Angular speed , (c) (6) Notmal and tangential components of the linear acceleration of point C (d) (11) Horizontal and vertical components of the reaction forces at point O