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tesoance) The Broughton Suspension Bridge is known to follow the un-damped ODE system given by 500y +50yf(t), when it is in use. (a) What is the natural frequency of this bridge? (b) Lieutenant Percy Slingsby Fitzgerald is leading his detachment of 74 men across this bridge in a forced march. It turns out, his detachment marching in time produces a forced oscillation in the bridge of the form f(t) = 2500s(wt)-25 cos(volt) Assume that the displacement of the bridge starts at rest. Solve the IVP. (c) Assume that the maximum displacement the bridge can undergo without collapsing is Umaz 2m. Would the detachment be able to march for the 5 minutes it would take to cross the bridge?

science   Advanced-Physics   
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RUNS PAGE NO DATE ARUNS PAGE NO DATE 50 0 Sb D re) f (o) Soo Comple men by som D+0-1) do L(024001)

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