The car bridge in Figure Q20 can be modelled as a damped-spring oscillator system with mass M = 10000 kg, spring coefficient k = 50000 N-m-1 and damping constant c = 50000 N-s-m-1. Cars cross the bridge in a periodic manner such that the bridge experiences a vertical force F (N) expressed by F = mg sin(10t) where m = 1136 kg is the average mass of passing cars, g = 9.81 m-s-2 is the gravitational acceleration and t (s) is the time. Determine the maximum force magnitude transmitted to the foundation (see Figure Q20) during the steady-state oscillatory response of the system. Provide only the numerical value (in Newtons) to zero decimal places and do not include the units in the answer box. m www m M foundation Figure Q20: Vibrating car bridge.
The car bridge in Figure Q20 can be modelled as a damped-spring oscillator system with mass M = 10000 kg, spring coefficient k = 50000 N-m-1 and damping constant c = 50000 N-s-m-1. Cars cross the bridge in a periodic manner such that the bridge experiences a vertical force F (N) expressed by F = mg sin(10t) where m = 1136 kg is the average mass of passing cars, g = 9.81 m-s-2 is the gravitational acceleration and t (s) is the time. Determine the maximum force magnitude transmitted to the foundation (see Figure Q20) during the steady-state oscillatory response of the system. Provide only the numerical value (in Newtons) to zero decimal places and do not include the units in the answer box. m www m M foundation Figure Q20: Vibrating car bridge.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![4
QUESTION 20
The car bridge in Figure Q20 can be modelled as a damped-spring oscillator system with mass M =
10000 kg, spring coefficient k = 50000 N-m-1 and damping constant c = 50000 N-s-m-1. Cars cross the
bridge in a periodic manner such that the bridge experiences a vertical force F (N) expressed by
F = mg sin(10t)
where m = 1136 kg is the average mass of passing cars, g = 9.81 m-s-2 is the gravitational acceleration
and t (s) is the time. Determine the maximum force magnitude transmitted to the foundation (see Figure
Q20) during the steady-state oscillatory response of the system. Provide only the numerical value (in
Newtons) to zero decimal places and do not include the units in the answer box.
E
m
M
foundation
Figure Q20: Vibrating car bridge.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa38b1750-4836-4d47-bfc9-b05e81f0daae%2Fb9279072-5d27-4c22-8724-cbc710c3d19a%2Ferlof34s_processed.png&w=3840&q=75)
Transcribed Image Text:4
QUESTION 20
The car bridge in Figure Q20 can be modelled as a damped-spring oscillator system with mass M =
10000 kg, spring coefficient k = 50000 N-m-1 and damping constant c = 50000 N-s-m-1. Cars cross the
bridge in a periodic manner such that the bridge experiences a vertical force F (N) expressed by
F = mg sin(10t)
where m = 1136 kg is the average mass of passing cars, g = 9.81 m-s-2 is the gravitational acceleration
and t (s) is the time. Determine the maximum force magnitude transmitted to the foundation (see Figure
Q20) during the steady-state oscillatory response of the system. Provide only the numerical value (in
Newtons) to zero decimal places and do not include the units in the answer box.
E
m
M
foundation
Figure Q20: Vibrating car bridge.
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