You receive a free Klay Thompson bobble-head doll as a result of being one of th

Question

You receive a free Klay Thompson bobble-head doll as a result of being one of the first 10,000 fans at a Golden State Warrior Basketball Game, Klay's head is 85-g and the spring constant that makes his head vibrate up and down with simple harmonic motion is 21 N/m. While you drive home from another warrior vistory with your doll firmly secured to your dashboard, you notice a series of hoses lying across the road and perpendicular to your direction of motion. If the hoses are 4.0 m apart, what constant car speed is most likely to damage Klay by making his head vibrate too hard at his maximum ampli- tude when you drive over a hose?

Explanation / Answer

According to the concept of the oscillation and waves

Speed V=wA

Given that

Amplitude A=4 m

Spring constant k=21 N/m

Mass m=0.085 kg

Now we find the speed

Speed V=wA

=(k/m)^1/2*A

=(21/0.085)^1/2*4

=15.72*4

=62.88 m/s

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