Page 1 of 6 YOU MUST SHOW YOUR WORK (INCLUDING FBD) TO

Page 1 of 6 YOU MUST SHOW YOUR WORK (INCLUDING FBD) TO OBTAIN PARTIAL CREDIT Figure 1 represents a simplified diagram of a spring-supported vehicle traveling over a rough road. Determine the equation for the amplitude of Was a function of the speed and determine the most unfavorable speed. Figure 1 Problem 1Page 2 of 6 An electric motor of mass 68 kg is mounted on an isolator block of mass 1200 kg and the natural frequency of the total assembly is 160 cpm with a damping factor of ? ? 0.10 (see Fig. 2). If there is an unbalance in the motor that results in a harmonic force of F = 100 sin 31.4t determine the amplitude of vibration of the block and the force transmitted to the floor. Figure 2 Problem 2Page 3 of 6 Page 4 of 6 For the system shown in Fig. 3 W1 ? 200lb and the absorber weight 2 W ? 50lb . If WI is excited by a 2 lb-in. unbalance rotating at 1800 rpm determine the proper value of the absorber spring 2 k . What will be the amplitude of 2 W ? Figure 3 Problem 3Page 5 of 6 Determine in matrix form the equation of motion of the system shown in Fig. 4 using Newton method (show all the FBD) Figure 4 Problem 4
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