Problem M. 401. (January 2021)

M. 401. Make a physical pendulum of mass \(\displaystyle m\) and of length \(\displaystyle \ell\), from a uniform-density thin wooden slat which is pivoted at one of the ends. (The values of \(\displaystyle m\) and \(\displaystyle \ell\) can be chosen arbitrary, but should be kept constant during the measurement.)

\(\displaystyle a)\) Measure the period of the pendulum \(\displaystyle T_0\) after it is displaced a bit.

Then change the position of the pivot by positioning it at a distance of \(\displaystyle d\) from one of the ends of the rod, and attach a point-like object of mass \(\displaystyle M\), for example a small piece of plasticine, to the other end. If the mass of the plasticine is chosen carefully, then the period of this pendulum is the same as the original period \(\displaystyle T_0\).

\(\displaystyle b)\) Measure how the ratio of the masses \(\displaystyle M/m\) depends on the ratio of the distances \(\displaystyle d/\ell\).

(6 pont)

Deadline expired on February 18, 2021.

Statistics:

9 students sent a solution.
6 points:	Barna Benedek.
5 points:	Csonka Illés, Horváth 999 Anikó, Ludányi Levente.
4 points:	1 student.
3 points:	1 student.
2 points:	2 students.
Unfair, not evaluated:	1 solutions.

Problems in Physics of KöMaL, January 2021