A rigid body consists of a `3 kg` mass connected to a `2 kg` mass by a massless rod. The `3 kg` mass is located at `vec(r )_(1) = (2hat(i) + 5hat(j))m` and the `2 kg` mass at `vec(r )_(2) = (4hat(i) + 2hat(j))m`. Find the length of rod and the coordinates of the centre of mass.

Answer

`sqrt13m, ((14)/(5),(19)/(5))`

Explanation

Length of rod `=sqrt((4 - 2)^(2) + (2 - 5)^(2)) = sqrt13m`
`x_(cm) = ((3 xx 2) + (2 xx 4))/(3 + 2) = (14)/(5), y_(cm) = ((3 xx 5) + (2 xx 2))/(3 + 2) = (19)/(5)`