Springs: Simple Harmonic Motion

AI Thread Summary
To determine the spring constant for each spring of a compact car with a mass of 1050 kg that bounces at 2.0 Hz, Hooke's law and the formula for the frequency of simple harmonic motion are essential. The spring constant can be calculated using the formula k = (2πf)²m, where f is the frequency and m is the mass per spring. With the car's mass equally distributed over four springs, each spring supports 262.5 kg. When carrying four 110 kg passengers, the total mass becomes 1,450 kg, and the new oscillation frequency can be recalculated using the same principles. Understanding these equations is crucial for solving the problem effectively.
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A compact car has a mass of 1050 kg. Assume that the car has one spring on each wheel, that the springs are identical, and that the mass is equally distributed over the four springs.

(a) What is the spring constant of each spring if the empty car bounces up and down 2.0 times each second?
(in N/m)

(b) What will be the car's oscillation frequency while carrying four 110 kg passengers?
(in Hz)



I know all the equations for this problem, most centrally Hooke's laws; however, I am having difficulty piecing them all together. Help would be appreciated. Thanks.
 
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List the equations you know. Which have quantities that are given in the questions?
 

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