alt.physics
Apr. 25th, 2003 01:08 am![[personal profile]](https://www.dreamwidth.org/img/silk/identity/user.png){kind=small}
eubThis stuff is deeply weird.
Look at the first page, where the author finds the period of a simple pendulum. He deprecates the usual textbook analysis, which involves an approximation, sin x ≈ x, that's only valid for small displacement. He "provides an analysis using a system circle as a system clock", and gets the same answer as the usual approximation -- but his is not an approximation or restricted to small angles. "If one now tests this equation by setting the initial displacement angle to both small and large angles, then one sees that the equation still holds. That is, the period (T) is independent of the initial displacement angle."
Look at the first page, where the author finds the period of a simple pendulum. He deprecates the usual textbook analysis, which involves an approximation, sin x ≈ x, that's only valid for small displacement. He "provides an analysis using a system circle as a system clock", and gets the same answer as the usual approximation -- but his is not an approximation or restricted to small angles. "If one now tests this equation by setting the initial displacement angle to both small and large angles, then one sees that the equation still holds. That is, the period (T) is independent of the initial displacement angle."
![[identity profile]](https://www.dreamwidth.org/img/silk/identity/openid.png){kind=small}
no subject
Date: 2003-04-25 06:20 am (UTC)Ahhhh, physics cranks.