The following data refer to a connecting rod of a reciprocating engine:

Mass \(=60 \mathrm{~kg}\); Distance between bearing centres \(=900 \mathrm{~mm}\); Diameter of small end bearing \(=80\) \(\mathrm{mm}\); Diameter of big end bearing \(=120 \mathrm{~mm}\); Time of oscillation when the connecting rod is suspended from small end \(=1.85 \mathrm{~s}\); time of oscillation when the connecting rod if suspended from big end \(=1.70 \mathrm{~s}\).

Determine:

(a) The radius of gyration of the rod about an axis passing through the centre of gravity and perpendicular to the plane of oscillation,

(b) the moment of inertia of the rod about the same axis, and

(c) the dynamically equivalent system for the connecting rod, consisting of two masses, one of which is situated at the small end centre.