Question

The moment of inertia around an axis, is defined by I = ? m_i r_i² where m_i is the mass of particle i and r_i is the distance of the ith particle from the rotational axis. Consider a diatomic molecule with bond length R. The masses of the two atoms are m_A and m_B, respectively. The position vector of the center of mass is given by R_CM = (m_A r_A + m_B r_B)/(m_A + m_B) where r_A and r_B are the position vectors of atom A and B, respectively. Choose now a set of (x, y) Cartesian axes with origin at the center of mass and with the molecular axis along the x axis. Combine Eqs.(1) and (2) and write down an expression for the moment of inertia around the y axis expressed in terms of the bond length R.

          The moment of inertia around an axis, is defined by
I = ? m_i r_i²
where m_i is the mass of particle i and r_i is the distance of the ith particle from the rotational axis.
Consider a diatomic molecule with bond length R. The masses of the two atoms are m_A and m_B, respectively. The position vector of the center of mass is given by
R_CM = (m_A r_A + m_B r_B)/(m_A + m_B)
where r_A and r_B are the position vectors of atom A and B, respectively.
Choose now a set of (x, y) Cartesian axes with origin at the center of mass and with the molecular axis along the x axis. Combine Eqs.(1) and (2) and write down an expression for the moment of inertia around the y axis expressed in terms of the bond length R.

The moment of inertia around an axis, is defined by
I = ? mi ri²
where mi is the mass of particle i and ri is the distance of the ith particle from the rotational axis.
Consider a diatomic molecule with bond length R. The masses of the two atoms are mA and mB, respectively. The position vector of the center of mass is given by
RCM = (mA rA + mB rB)/(mA + mB)
where rA and rB are the position vectors of atom A and B, respectively.
Choose now a set of (x, y) Cartesian axes with origin at the center of mass and with the molecular axis along the x axis. Combine Eqs.(1) and (2) and write down an expression for the moment of inertia around the y axis expressed in terms of the bond length R.

Added by Jose Carlos J.

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