During the design of the spring-support system for the m, = 3590 kg weighing platform, it is decided that the frequency of free vertical vibration in the unloaded condition shall not exceed 6.5 cycles per second. mt mp k а) Determine the maximum acceptable spring constant k for each of the three identical springs. Insert your answer in k N/m correct up to at least a third decimal place. b) For spring constant, what would be the natural frequency fn of vertical vibration of the platform loaded by the m; = 55 Mg truck? Insert your answer in Hz correct up to at least a third decimal place.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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During the design of the spring-support system for the m, = 3590 kg weighing platform, it is decided that the frequency of
free vertical vibration in the unloaded condition shall not exceed 6.5 cycles per second.
mt
mp
k
a)
Determine the maximum acceptable spring constant k for each of the three identical springs. Insert your answer in kN/m
correct up to at least a third decimal place.
b)
For spring constant, what would be the natural frequency fn of vertical vibration of the platform loaded by the m; = 55 Mg
truck? Insert your answer in Hz correct up to at least a third decimal place.
Transcribed Image Text:During the design of the spring-support system for the m, = 3590 kg weighing platform, it is decided that the frequency of free vertical vibration in the unloaded condition shall not exceed 6.5 cycles per second. mt mp k a) Determine the maximum acceptable spring constant k for each of the three identical springs. Insert your answer in kN/m correct up to at least a third decimal place. b) For spring constant, what would be the natural frequency fn of vertical vibration of the platform loaded by the m; = 55 Mg truck? Insert your answer in Hz correct up to at least a third decimal place.
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