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## Homework Statement

Does a baseball on a slinky have a smaller Beta, or balloon on a slinky? Explain.

## Homework Equations

Beta = b/sqrt(mk)

b: damping coefficient

m: mass

k: spring constant

## The Attempt at a Solution

I see that the spring constant k is the same for either the baseball or the balloon case, because the slinky acts like a spring, so k is the spring constant.

The damping coefficient is different for the 2 cases so is the mass.

Since the mass of the baseball is heavier, it is assumed that the baseball case has a smaller beta. But what about the damping coefficient, b? How will this affect the system? In which case is b larger? I am stuck here on how to relate b, and mass together to get the answer. Thanks for the help.