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26 Nov 2019

A car and its suspension system act like a mass-springsystemwith m= 1200kg and k= 58 kN/m. Its worn-out shock absorbersprovidea damping constant b= 230 kg/s. The car hits a pothole thatsets itoscillating. How many oscillations will it make beforetheoscillation amplitude drops to half of its initial value?
A gyroscope consists of a solid disk of radius R= 10cm,mountedin the center of a shaft whose length L= 32cm. One end ofthe shaftis mounted in a frictionless pivot, and the other end isfree; theshaft has negligible mass. The disk has a mass M= 840g.The disk isprecessing horizontally at ?= 1.2 rad/s. Find theangular speed ω ofrotation about the shaft.

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