Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A thin ring has a mass of and a radius of . Find its moment of inertia about
Moment of inertia: . Ring ; disc ; rod about its middle; solid sphere . Parallel axes: . Flat bodies: .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Given. .
Step 1. (a) .
Step 2. (b) Two diameters at right angles add to (a): .
Step 3. (c) Parallel to a diameter, away: .
Step 4. (d) Parallel to the central axis, away: .
Answer: (a) . (b) . (c) . (d) .
Check. The axis farthest from most of the mass, (d), has the largest .
Watch out. The parallel axis theorem must start from an axis through the centre of mass: (a) or (b), not another tangent.
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