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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 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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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