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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Gravitation question
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konichiwa2x (2224)

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A double star is a system of two stars having masses m1 and m2 moving around the centre of inertia of the system due to gravitations. Then, ratio of sweeps of area of star of mass m1 to the star of mass m2 is :
 
(A) m1/m2
(B)m2/m1
(C) m12/m2
(D)m22/m12
 
Please explain the answer. thanks.

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shikharbaid (175)

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is it m1/m2...........

<TABLE CELLSPACING="1" CELLPADDING="1" BORDER="0">
<TR><TD>


<DIV ALIGN="right">Animated Letters</DIV></TD></TR></TABLE>
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shubhayan_c (888)

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I tihnk it will b solved ny angular momentum conservation.
I m trtying the question on paper.
will tell u the answer in just a while fm now

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shubhayan_c (888)

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The distance fm centre of inertia of each mass is not given

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joyfrancis (1504)

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Hi.
See fig.
 
Area swept = /360*pir2
 
so area swept by m1 = /360*pi(m2l/m1+m2)^2
 
and area swept by m2 = /360*pi(m1l/m1+m2)^2
 
a1/a2 = m22/m12


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konichiwa2x (2224)

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thanks a lot joy. that is the correct answer..
by the way, i got a doubt now.. u have implied in your solution that the angular velocities of m1 and m2 are equal right? does that mean that the earth and moon rotate about their common centre of mass with the same angular velocity?

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joyfrancis (1504)

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yes , i guess it is right to say so..

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