 Home

Codex Wiki

List of universities

University of Oxford

Course of the University of Oxford

Undergraduate course of the University of Oxford

Physics course of the University of Oxford

Year 1 of the physics course of the University of Oxford

Physics 1 paper of the University of Oxford

Past exam of the physics 1 paper of the University of Oxford

2013

The <Euler-Lagrange equation> from <9/a> is $2MR^2\ddot\theta+MgR\sin\theta=0$. Linearizing about $\theta=0$ gives
$$
\boxed{\omega_{\rm fixed}=\sqrt{\frac{g}{2R}},\qquad f_{\rm fixed}=\frac1{2\pi}\sqrt{\frac{g}{2R}},\qquad T_{\rm fixed}=2\pi\sqrt{\frac{2R}{g}}.}
$$
Both <angular frequency> and ordinary <frequency> are given to distinguish the two conventions. The stable position places the extra <mass> below the pivot.

Solution

Past exam of the physics 1 paper of the University of Oxford / 2013 / 9 / b / Solution

Past exam of the physics 1 paper of the University of Oxford / 2013 / 9 / b / Solution

 Ancestors (12)

 Discussion (0)

 Articles by others on the same topic (0)

Past exam of the physics 1 paper of the University of Oxford / 2013 / 9 / b / Solution

 Ancestors (12)

 Discussion (0)  Subscribe (1)

 Articles by others on the same topic (0)

 Discussion (0)