Suppose that m = 75 slugs (the car weighs 2400 lb), L 1 = 7 ft, L

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Suppose that m = 75 slugs (the car weighs 2400 lb), L1 = 7 ft, L2 = 3 ft (it's a rear-engine car), k1 = k2 = 2000 lb/ft, and I = 1000 ft-lb-s2. Then the equations in (40) take the form

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(a) Find the two natural frequencies ω1 and ω2 of the car.
(b) Now suppose that the car is driven at a speed of v feet per second along a washboard surface shaped like a sine curve with a wavelength of 40 ft. The result is a periodic force on the car with frequency ω = 2πv/40 = πv/20. Resonance occurs when ω = ω1 or ω = ω2. Find the corresponding two critical speeds of the car (in feet per second and in miles per hour).

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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