considered a two particle system with particles having masses M1 and M2 the first particle is pushed towards the centre of mass through a distance d , by wht distance should the second particle moved so as to keep the centre of the masses at the same position
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Dear student,
Let 2 masses be m1 and m2 . Let x and y be distance of m1 and m2 from centre of mass
Now m1x= m2y. If mass m1 is moved by distance d and mass m2 be movedd by distance D,Then
m1(x−d)=m2(y−D)m1x−m1d =m2y−m2Dwe know m1x=m2ySo m1d=m2DD=(m1m2)d
So the mass m2 must be mived by the distance of (m1 / m2 )*d ,so the centre of mass remain same.
Regards.
Let 2 masses be m1 and m2 . Let x and y be distance of m1 and m2 from centre of mass
Now m1x= m2y. If mass m1 is moved by distance d and mass m2 be movedd by distance D,Then
m1(x−d)=m2(y−D)m1x−m1d =m2y−m2Dwe know m1x=m2ySo m1d=m2DD=(m1m2)d
So the mass m2 must be mived by the distance of (m1 / m2 )*d ,so the centre of mass remain same.
Regards.
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