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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationSatellite MotionHard2 minPDF

PhysicsHardsingle choice

Six stars of equal mass are moving about the centre of mass of the system such that they are always on the vertices of a regular hexagon of side length a. Their common time period will be :

Options:

Answer:

Solution:

Resolve the gravitational force from the other five stars along the radius of the hexagon.

$m ω^{2} a = \frac{G m ^{2}}{a ^{2}} (1 + \frac{1}{4} + \frac{1}{3})$

$T = 2 π \frac{4 3 a ^{3}}{G m ( 5 3 + 4 )}$

Hence option B.

Stream:JEESubject:PhysicsTopic:GravitationSubtopic:Satellite Motion

⏱ 2mℹ️ Source: PDF

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