package is being vibrated on a vibration table. Accelerometers are attached to the table and the product to measure their accelerations. The accelerations recorded are illustrated in the plot below. Answer the following questions. Explain your answers for full credit. a. Which is greater, the forcing frequency or the natural frequency? b. Does the product bounce? c. Is the package vibrating at the same frequency as the table?

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11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A package is being vibrated on a vibration table. Accelerometers are attached to the table and the
product to measure their accelerations. The accelerations recorded are illustrated in the plot below.
Answer the following questions. Explain your answers for full credit.

a. Which is greater, the forcing frequency or the natural frequency?
b. Does the product bounce?
c. Is the package vibrating at the same frequency as the table? 

Table Acceleration (g)
0.5
0.5
-0.5
0
0
0.1
0.2
0.1
0.3
0.2
0.4
0.3
0.5
Time (s)
v \ W
0.7
0.5
Time (s)
0.4
0.6
0.7
0.6
0.8
0.8
0.9
0.9
1
Transcribed Image Text:Table Acceleration (g) 0.5 0.5 -0.5 0 0 0.1 0.2 0.1 0.3 0.2 0.4 0.3 0.5 Time (s) v \ W 0.7 0.5 Time (s) 0.4 0.6 0.7 0.6 0.8 0.8 0.9 0.9 1
Expert Solution
Step 1

An accelerometer is an instrument that evaluates a structure's vibration or acceleration of motion. The piezoelectric material is "squeezed" by the mass due to the force of vibration or a change in velocity (acceleration), which results in an electrical charge that is proportionate to the force applied to it. Since the mass is a constant and the charge is proportional to the force, the charge must likewise be proportional to the acceleration.

Forced Frequency: The frequency of the vibration caused by a machine defect, such as an imbalance or misalignment. Alternatively, the term "forced vibration" refers to an object's tendency to make a surrounding object vibrate.

Natural Frequency: The frequency at which a system typically oscillates in the absence of any external driving force is known as its natural frequency.

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