Gravitational Dynamics: Bodies with Shared Rotation Period | Symbolic Physics (AP FR1995, College I)
This video features the following AP Free Response from 1995, with a small emphasis on solving for the algebraic solution.
1995M3 Two stars, A and B. are in circular orbits of radii ra and rb, respectively, about their common center of mass at point P, as shown above. Each star has the same period of revolution T.
Determine expressions for the following three quantities in terms of ra, rb, T, and fundamental constants.
a. The centripetal acceleration of star A
b. The mass Mb of star B
c. The mass Ma of star A
d. Determine an expressions for the angular momentum of the system about the center of mass in terms of Ma,
Mb, ra, rb, T, and fundamental constants.