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3-2.Motion in Plane
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Two point masses of mass $m_1 = fM$ and $m_2 = (1 -f)\,M\,(f < 1 )$ are in outer space ( far from gravitational influence of other objects) at a distance $R$ from each other. They move in circular orbits about their centre of mass with angular vaocities $\omega _1$ for $m_1$ and $\omega _2$ for $m_2.$ In that case
A
$(1 - f){\omega _1} = f\omega $
B
$\omega _1\,=\,\omega _2$ and independent of $f$
C
$f{\omega _1} = (1 - f){\omega _{\,2}}$
D
$\omega _1\,=\,\omega _2$ and depend on $f$
(AIEEE-2012)
Solution
Angular velocity is the angular displacement per unit time $i.e.,\,\,\omega =\,\frac {\Delta \theta }{\Delta t}$ Here $\omega _1 = \omega _2$ and independent of $f.$
Standard 11
Physics
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