Poblem 1 figure 1 represents a simplified diagram of a

Question

Problem 1: Figure 1 represents a simplified diagram of a spring-supported vehicle traveling over a rough road. Determine the equation for the amplitude of W as a function of the speed, and determine the most unfavorable speed.

Problem 2: 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 ζ = 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.

Problem 3: For the system shown in Fig. 3, W₁ = 200lb and the absorber weight W₂ = 50lb . If WI is excited by a 2 lb-in. unbalance rotating at 1800 rpm, determine the proper value of the absorber spring k₂. What will be the amplitude of W₂?

Problem 4: Determine in matrix form, the equation of motion of the system shown in Fig. 4 using Newton method (show all the FBD)

Answer 1

Consider the diagrams illustrated in the assignment and by using that information, address the following questions and provide answers for each. Question 1: Figure symbolizes a simplified diagram of a spring-supported vehicle traveling over a rough road. Find out the equation for the amplitude of W as a function of speed and find out the most unfavorable speed. Question 2: The electric motor of mass 68 kg is mounted on the isolator block of mass 1200 kg and the natural frequency of net assembly is 160 cpm having a damping factor of ? = 0.10 (see diagram). If there is an unbalance in the motor which outcomes in a harmonic force of F = 100 sin 31.4t, find out the amplitude of vibration of the block and force transmitted to the floor.