The masses M1 = 2M and M2 = M rotate around the mass M3 in circular orbits shown in the figure. The relation between the forces acted on Mị and M2 by the mass M3 is given as F2 = 8F1. a) Show the relationship between the orbital radii (R and r) of the masses M1 and M2. b) Show the relationship between the periods T1 and T2 of the masses M1 and M2. c) Show the relation between the tangential velocities (V1 and V2) of the masses Mi and M2. Ma M, M2 V2

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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The masses M1 = 2M and M2 = M rotate around the mass M3 in circular orbits shown in the figure.
The relation between the forces acted on M1 and M2 by the mass M3 is given as F2 = 8F1.
a) Show the relationship between the orbital radii (R and r) of the masses Mı and M2.
b) Show the relationship between the periods T1 and T2 of the masses M1 and M2.
c) Show the relation between the tangential velocities (Vi and V2) of the masses Mi and M2.
Ma
M,
Transcribed Image Text:The masses M1 = 2M and M2 = M rotate around the mass M3 in circular orbits shown in the figure. The relation between the forces acted on M1 and M2 by the mass M3 is given as F2 = 8F1. a) Show the relationship between the orbital radii (R and r) of the masses Mı and M2. b) Show the relationship between the periods T1 and T2 of the masses M1 and M2. c) Show the relation between the tangential velocities (Vi and V2) of the masses Mi and M2. Ma M,
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