Consider a large crane holding a car of mass m 1900 kg as, Ask an Expert

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Consider a large crane holding a car of mass M = 1900 kg as shown in the figure. The cable is L = 3.6 m long and has a density of ρ = 1.4 kg/m. It is a very breezy day and the cable starts to vibrate in the wind.

1335_A large crane holding a car.png

(a) Give an expression for the fundamental frequency of the cable's vibration.

b) What would this frequency be in Hz?

(c) What would the mass of the car, M₂, have to be so that the second harmonic vibration of the cable was the same frequency as the fundamental from part (b)?

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