Activity-3 Directions: Listen carefully to the recordings of the following songs. Choose from the
table provided below their speed (Slow, Moderate, Fast) by writing the title of the song
under.
1. Lupang Hinirang
2. Magtanim ay Di Biro
3. Bahay Kubo
4. If We Hold on Together
5. Atin Ku Pung Singsing
6. Oh, My Darling Clementine
7. Old MacDonald
Slow Tempo
Moderate Tempo
Fast Tempo​

The center of a long frictionless rod is pivoted at the origin, and the rod is forced to rotate in a vertical plane with constant angular velocity \omega. write down the lagrangian for a bead of mass m threaded on the rod, using r as your generalized coordinate, where r, \phi are the polar coordinates of the bead. (notice that \phi is not an independent variable since it is fixed by the rotation of the rod tobe \phi = \omega * t) solve lagrange's equation for r(t). what happens if the bead is initially at rest at the origin? if it is released from any point ro > 0, show that r(t) eventually grows exponentially. explain your results in terms of the centrifugal force m* \omega ^2 *r.