Problem 1.4 (8 points): Parked next to the car from the previous problems is a t

Question

Problem 1.4 (8 points): Parked next to the car from the previous problems is a totally tricked out low rider with sweet hydraulics (a powered system that drives oscillations in the suspension system, making the car bounce on demand). This car has m = 1200 kg and sits on springs of stiffness k = 75,000 N/m. What is the largest amplitude of oscillation that this car can make before its bounces begin to lift it off the ground? Hint: think carefully about the mathematical condition that describes the car just barely lifting off the ground. If you choose a clever approach, this problem involves almost no algebra.

Explanation / Answer

elastic force F = k*A

K = stiffness

A = amplitude

F = m*g

A = F/K

A = mg/k

A = 1200*9.8/75000

amplitude A = 0.1568 m = 15.68 cm <<<<<---------answer

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