Question $21$: Three masses, $A,B,$ and $C$ are rotating on a single plane at the radius of $0\mathrm{.}1,0\mathrm{.}15,$ and $0\mathrm{.}2$ m respectively. The mass of $A$ is $70$ kg and $B$ is $45$ kg $.$ The relative position of $B$ is $150$ counterclockwise from $A.$ If the three masses are completely balanced, find the mass and relative position of $C$ with respect to mass $A.$

a$)m_c=A{}_c=$ degree counterclockwise from mass $A.$