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need help =.=. detailed answer!! for B and C Since the time of ancient Rome, com

ID: 2124437 • Letter: N

Question

need help =.=. detailed answer!! for B and C

Since the time of ancient Rome, commanders of armies have known that it is prudent to have the troops break stride in their march when crossing a wooden bridge. This is because if the troops march in a synchronized cadence, they produce a periodic coordinated jolt to the bridge, which could excite one of its natural harmonic frequencies, causing a standing wave to develop in the bridge. If a marching army does create a standing wave in the bridge, what aspect of this standing wave (A, f, T, lambda) would be directly responsible for causing the bridge to break apart? Explain. Suppose a platoon comes upon a wood & rope bridge that is supported only at its two ends. The commander slops his company short of the bridge and shakes the nearest end of the bridge, testing to see if it seems strong enough to hold his men. The bridge ripples all the way down its length, with the pulse reflecting off the other side and returning, for a roundtrip time of 2.5 seconds. Find the frequency of the fundamental harmonic standing wave for this bridge. The commander decides the bridge is sturdy, and makes the tragic decision to order his men to march on. Their marching pace is such that the frequency of footfalls matches the 5th harmonic frequency of the bridge. Sketch this standing wave, and calculate how many steps they take per second.

Explanation / Answer

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