To analyze the motions of an automobile on its tires, we approximate a car by a bar of uniform mass (1000 kg) with a moment of inertia equal to 1333.3 kg m^2. The bar is 4 m long. The tire/suspension is approximated by a pair of springs with spring constant equal to 11.697 N/m^2 for each one. If the road profile is sinusoidal, with an amplitude of 20 cm and a wavelength of 10 m, at what speed will the car experience resonance? with what mode is this resonance associated?

To analyze the motions of an automobile on its tires, we approximate a car by a bar of uniform mass (1000 kg) with a moment of inertia equal to 1333.3 kg m^2. The bar is 4 m long. The tire/suspension is approximated by a pair of springs with spring constant equal to 11.697 N/m^2 for each one. If the road profile is sinusoidal, with an amplitude of 20 cm and a wavelength of 10 m, at what speed will the car experience resonance? with what mode is this resonance associated?

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To analyze the motions of an automobile on its tires, we approximate a car by a bar of uniform mass (1000 kg) with a moment of inertia equal to 1333.3 kg m^2. The bar is 4 m long. The tire/suspension is approximated by a pair of springs with spring constant equal to 11.697 N/m^2 for each one. If the road profile is sinusoidal, with an amplitude of 20 cm and a wavelength of 10 m, at what speed will the car experience resonance? with what mode is this resonance associated?

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