Show that the expressions v = rω and at = rα hold for the motion of the center O of the...

Show that the expressions v = rω and a_t = rα hold for the motion of the center O of the wheel which rolls on the concave or convex circular arc, where ω and α are the absolute angular velocity and acceleration, respectively, of the wheel. (Hint: Follow the example of Sample Problem 5 /4 and allow the wheel to roll a small distance. Be very careful to identify the correct absolute angle through which the wheel turns in each case in determining its angular velocity and angular acceleration.)