5. A car has a suspension such that it drops 10 cm for every 100 kg of additional cargo. The car, with a total laden mass of 1000 kg, is travelling at 60 km/hr when it hits a bump in the road, causing it to start oscillating vertically (simple harmonic motion). Find the period of oscillation, and the wavelength as seen by a stationary observer. If the amplitude of the vertical motion is 6 cm, what is its total energy? What she car's total kinetic energy as a function of time, as seen by the stationary observer?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics
Section: Chapter Questions
Problem 7.14P
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5. A car has a suspension such that it drops 10 cm for every 100 kg of additional cargo. The car, with a total
laden mass of 1000 kg, is travelling at 60 km/hr when it hits a bump in the road, causing it to start oscillating
vertically (simple harmonic motion). Find the period of oscillation, and the wavelength as seen by a
stationary observer. If the amplitude of the vertical motion is 6 cm, what is its total energy? What she car's
total kinetic energy as a function of time, as seen by the stationary observer?
Transcribed Image Text:5. A car has a suspension such that it drops 10 cm for every 100 kg of additional cargo. The car, with a total laden mass of 1000 kg, is travelling at 60 km/hr when it hits a bump in the road, causing it to start oscillating vertically (simple harmonic motion). Find the period of oscillation, and the wavelength as seen by a stationary observer. If the amplitude of the vertical motion is 6 cm, what is its total energy? What she car's total kinetic energy as a function of time, as seen by the stationary observer?
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