When two more people get into the car described in Sample Problem 12C, the total

Question

When two more people get into the car described in Sample Problem 12C, the total mass of all four occupants of the car becomes 255 kg, Now what is the period of vibration of the car when it is driven over a pothole in the road? Simple harmonic motion of a mass-spring system The body of a 1275 kg car is supported on a frame by your springs. Two people riding in the car have a combined mass of 153 kg. When driven over a pothole in the read, the frame vibrates with a period of 0.840 s. For the first few seconds, the vibration approximates simple harmonic motion, Find the spring constant of a single spring. Given: Unknown: Use the equation for the period of a mass-spring system to solve for k:

Explanation / Answer

so first. We look for K. manipulate the formula so you get

k = 4(^2)m/T^2

using the mass 1428kg (total mass of car plus passengers) and T = 0.840 we get k to be 79896.8 (roughly rounded)

plugging it back into the original eq with the mass of the car with passengers to be 1530 we solve for the period. We get 0.869s

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