Concept explainers
Show that if a periodic force of magnitude
Answer to Problem 19.147P
The amplitude of the fluctuating force transmitted to the foundation is
Explanation of Solution
Given information:
The magnitude of periodic force (P) is
Calculation:
The expression for the motion of the machine (x) as follows:
Differentiate the above equation with respect to time ‘t’.
Calculate the force transmitted
Substitute
Calculate the force transmitted
Substitute
Calculate the total force transmitted
Substitute
Since
Write the total force transmitted
The expression for the natural circular frequency
The expression for the critical damping coefficient
The expression for the amplitude of the fluctuating force transmitted
The expression for the amplitude of motion to the foundation
Substitute
Substitute
Thus, the amplitude of the fluctuating force transmitted to the foundation is
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Chapter 19 Solutions
Connect 2 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics
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