Physics

Problem

![](https://storage.googleapis.com/diraq-contents/question-bank/question-images/4c84f5799572/2025_11_20_928013a02c702487609fg-08.jpg) 1995M3 Two stars, A and B. are in circular orbits of radii

r_{a}

and

r_{b}

, 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

\mathrm{r}_{\mathrm{a}}, \mathrm{r}_{\mathrm{b}}, \mathrm{T}

, and fundamental constants. a. The centripetal acceleration of star A b. The mass

\mathrm{M}_{\mathrm{b}}

of star B c. The mass

\mathrm{M}_{\mathrm{a}}

of star A Determine expressions for the following two quantities in terms of

\mathrm{M}_{\mathrm{a}}, \mathrm{M}_{\mathrm{b}}, \mathrm{r}_{\mathrm{a}}, \mathrm{r}_{\mathrm{b}}, \mathrm{T}

, and fundamental constants. d. The moment of inertia of the two-star system about its center of mass. e. The angular momentum of the system about the center of mass.

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