The shock absorbers for a new Proton X-50 car with mass 1000 kg unfortunately has some defects. The car sinks 3.0 cm when a person with 850 N weight climbs into the car at its center of gravity. Then, when the car hits a bump on the road while it is moving, the car starts oscillating up and down in simple harmonic motion. i. Calculate the period and the frequency of the oscillation. Now, if the absorbers were to be replaced, calculate the damping constant, b for the absorbers so that the car will be critical damped. ii.
The shock absorbers for a new Proton X-50 car with mass 1000 kg unfortunately has some defects. The car sinks 3.0 cm when a person with 850 N weight climbs into the car at its center of gravity. Then, when the car hits a bump on the road while it is moving, the car starts oscillating up and down in simple harmonic motion. i. Calculate the period and the frequency of the oscillation. Now, if the absorbers were to be replaced, calculate the damping constant, b for the absorbers so that the car will be critical damped. ii.
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Transcribed Image Text:The shock absorbers for a new Proton X-50 car with mass 1000 kg unfortunately has some
defects. The car sinks 3.0 cm when a person with 850 N weight climbs into the car at its
center of gravity. Then, when the car hits a bump on the road while it is moving, the car
starts oscillating up and down in simple harmonic motion.
i. Calculate the period and the frequency of the oscillation.
11.
111.
Now, if the absorbers were to be replaced, calculate the damping constant, b for the
absorbers so that the car will be critical damped.
Continue from Part ii above, if another passenger with the same weight of 850 N
board the car, determine if the absorbers are still critically damped? If not, is it
underdamped or overdamped? Explain.
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