The mechanical tachometer measures the rotational speed N of the shaft by the horizontal...

The mechanical tachometer measures the rotational speed N of the shaft by the horizontal motion of the collar B along the rotating shaft. This movement is caused by the centrifugal action of the two 12-oz weights A, which rotate with the shaft. Collar C is fixed to the shaft. Determine the rotational speed N of the shaft for a reading β = 15°. The stiffness of the spring is 5 lb /in., and it is uncompressed when Θ = 0 and β = 0. Neglect the weights of the links.