The mass of the trailer, not including its wheels and axle, is m. and the spring constant...

The mass of the trailer, not including its wheels and axle, is m. and the spring constant of its suspension is k. To analyze the suspension’s behavior, an engineer assumes that the height of the road surface relative to its mean height is h sin(2πx/λ). Assume that the trailer’s wheels remain on the road and its horizontal component of velocity is v. Neglect the damping due to the suspension’s shock absorbers.

(a) Determine the magnitude of the trailer s vertical steady-state vibration relative to the road surface.

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(b) At what velocity v does resonance occur?