A car is made of a single degree of freedom mass-spring and damper that vibrates in a vertical direction it is considered as the system formed. Automobile, the surface of which changes sinusoidally as shown in the figure it is driven on a road. The distance between the highest point and the lowest point on the road surface is 0.2 m. the distance between two consecutive peaks along it is 35 m. The car's natural frequency is 1 Hz and shock if the damping ratio of the dampers is 0.1, determine the vibration amplitude of the car in the meter unit. The speed of the car is V= 80 km /h.

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.