The 25-lb slender rod has a length of 6 ft. Using a collar of negligible mass, its end A is confined to move along the smooth circular bar of radius 3/2 ft. End B rests om the floor, for which the coefficient of kinetic friction is µB = 0.32. The bar is released from rest when 0 = 30°. (Figure 1)

Part B and C

4. A uniform disc of mass m = 3 kg and radius R= 0.5 may roll without slip on the 30 degree incline shown. An elastic spring of stiffness k= 100 newtons/meter is connected to the center C of the disc. Initially, the disc is held in place in the position shown, with the spring neither stretched nor compressed and with the disc at rest. At t = 0 the disc is released and is subjected to a constant force of Fo = 30 newtons along the incline. Determine the maximum speed achieved by the disc center C as the disc moves up the incline. For gravity use g = 10 m/sec². (note: initially the constant force Fo will be greater than the forces exerted by the spring and by gravity, and the disc will accelerate up the incline; but there will come a distance x along the incline after which the spring force + gravity will overtake the force Fo, and the disc will then decelerate). gravity Fo= 30 N 30° no friction

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