Suppose we have a shell with mass $M$ and radius $R$. If we let that roll without slipping down a ramp of angle theta to the horizontal, we can easily find the acceleration of the shell the instant the ball is let go.
Now, what if we completely fill the shell of mass $M$ and radius $R$ with a frictionless fluid of mass $M$ and let it roll down (without slipping) a ramp with angle theta? I have been thinking of this for a while but cannot seem to find what the instantaneous acceleration is as soon as the $\text{shell + liquid}$ is let go.
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