One end of a light spring with force constant k 100 N/m is attached to a venical wall. A light string is tied to the other end of thew-RMhorizontal spring.

As shown in Figure P12.57, the string changes from n horizontal to venical as it passes over a pulley of mass M in the shape of a solid disk of radius R= 2.00 cm. The pulley is free to turn on a fixed, smooth axle. The vertical section of the suing supports an object of mass m = 200 g. The string does not slip at its contaCi with the pulley. The object is pulled down-ward a small distance and released. (a) What is the angular frequency a of oscillation of the object in terms of the mass M: (b) What is the highest possible value of the angular frequency of oscillation of the object? (c) What is the highest possible value of the angular frequency of oscillation of the object if the pulley radius is doubled to R 4.00 cm?Figure P12.57