(i) To a physicist, a cow is a solid ball of uniform density. When the cow is hungry, its four stomachs are empty, so we

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I To A Physicist A Cow Is A Solid Ball Of Uniform Density When The Cow Is Hungry Its Four Stomachs Are Empty So We 1 (71.02 KiB) Viewed 11 times

(i) To a physicist, a cow is a solid ball of uniform density. When the cow is hungry, its four stomachs are empty, so we model it by a solid, uniform ball of radius R with a spherical cavity of radiushollowed out from inside, as shown below (right). To improve the scientific understanding of cow tipping, find the center of mass of a hungry cow. (ii) If the total mass of the hungry cow is M, find its moment of inertia for rotation about the horizontal axis through its stomach, indicated on the sketch below (right). You may use the fact that a solid ball of mass M and radius R has I = MR².
R/2 R