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A .1 kg toy car with 0.01 kg, 0.01 m radius solid wheels is pushed into...

A .1 kg toy car with 0.01 kg, 0.01 m radius solid wheels is pushed into a spring with a 1 N/m spring constant until it has compressed by 0.02 m. The toy car is then released, after which it rolls without slipping on level ground. It is still attached to the spring, so its motion is harmonic (back and forth) motion.

a. For this part assume that the mass of the wheels is zero: what is the frequency of oscillations?

b. If the total mass of the car is partially in the wheels (say: 0.006 kg and each of the four wheels has mass of 0.001 kg) what would be the effect on the frequency? No need for a number! Only say if the frequency would be higher, lower or the same and explain.

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