The masses Mi = 2M and M2 = M rotate around the mass M3 in cireular 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 Ti and T2of the masses Mi and M2. c) Show the relation between the tangential velocities (V1 and V2) of the masses Mi and M2. R M M, Ma

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The masses Mi = 2M and M2 = M rotate around the mass M3 in cireular orbits shown in the figure.
The relation between the forces acted on Mi 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 Mi and M2.
b) Show the relationship between the periods Ti and T2 of the masses Mi and M5.
c) Show the relation between the tangential velocities (Vi and V2) of the masses Mi and M2.
Ms
M2i
Transcribed Image Text:The masses Mi = 2M and M2 = M rotate around the mass M3 in cireular orbits shown in the figure. The relation between the forces acted on Mi 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 Mi and M2. b) Show the relationship between the periods Ti and T2 of the masses Mi and M5. c) Show the relation between the tangential velocities (Vi and V2) of the masses Mi and M2. Ms M2i
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