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semi-circles are fun - alternate derivation

Here's the harder way (integrating the torque), but I get the same result as with the easier way (lining up the center of mass with the pivot point). One crucial assumption behind this derivation is that the end of the semicircle is the pivot point. Click on the derivation to make it larger.

Note by Steven Chase
2 weeks, 6 days ago

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Thanks! In future, you can attach your solution to the report (and make edits) for it. Calvin Lin Staff · 2 weeks, 4 days ago

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@Calvin Lin Cool, I didn't know I could attach images to reports and/or comments. I don't see the associated function boxes for comments and reports. Steven Chase · 2 weeks, 3 days ago

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@Steven Chase The markdown syntax to display images works in both contexts, even though we didn't include a formatting toolbar that indicates how to do so, which makes it troublesome to do so easily. For reports, when editing in the reports forum, you will get the formatting toolbar. But otherwise, you could use the publish page to get the markdown hyperlink, and then past that in your comment. E.g.

![](https://d18l82el6cdm1i.cloudfront.net/uploads/dEBKbw6Ne4-torque-semi.jpg){: .center}

Calvin Lin Staff · 2 weeks, 3 days ago

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