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In: Physics

A water molecule is placed in the xy plane of a coordinate system with oxygen in...

A water molecule is placed in the xy plane of a coordinate system with oxygen in origin, such that each H atom has the same distance to the x-axis. The distance between oxygen and hydrogen is 0.958 Å and the angle between the three atoms is 104.48. The three atoms are considered point masses and the molecule is assumed to be a rigid body. The mass of hydrogen is 1.674*10^-27 kg, the mass of oxygen is 2.657*10^-26 kg, the mass of deuterium is 3.344*10^-27

  1. Calculate the moment of inertia with respect to the three coordinate axes for H2O. Repeat the calculation for D2O that has the same geometry.
  2. Find the mass center of the H2O molecule.
  3. What will be the inertia moment of the H2O molecule for rotation about an axis through the mass center and parallel to the z axis? Repeat for the two axes parallel to x and y and through the center of mass.

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