Q2 of 119 Page 159

The structure of a water molecule is shown in figure (9-E1). Find the distance of the center of mass of the molecule from the center of the oxygen atom.


Let the origin of the coordinate system be at center of oxygen atom. Then,








= 0.06567×10-10


= 6.567×10-10 ≈ 6.6×10-10 m


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11

In a head-on elastic collision of two bodies of equal masses

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Three particles of masses 1.0 kg, 2.0 kg and 3.0 kg are placed at the corners A, B and C respectively of an equilateral triangle ABC of edge 1 m. Locate the center of mass of the system.

 3

Seven homogeneous bricks, each of length L, are arranged as shown in figure (9-E2). Each brick is displaced with respect to the one in contact by L/10. Find the x-coordinate of the center of mass relative to the origin shown.


 4

A uniform disc of radius R is put over another uniform disc of radius 2R of the same thickness and density. The peripheries of the two discs’ touch each other. Locate the center of mass of the system.