Calculate the m.?. of a thin uniform rod of the mass 100g and length 60cm about an axis perpendicular to its length and passing through (1) its centre and (2) one end.

Solution-

Given-

• Mass of rod=M=100g=0.1kg, length of rod=l=60cm=0.6m.
• Moment of inertia of the thin uniform rod about a transverse axis passing through its centre is given by-

І=Ml2/12=0.1*(0.6)2/12=0.003kg m2

• Moment of inertia of the thin uniform rod about a transverse axis passing through its end is given by-

І=Ml2/3=0.1*(0.6)2/3=0.012kg m2

Answer-Moment of inertia of the thin uniform rod about a transverse axis passing through its centre is 0.003kg m2 and the moment of inertia of the thin uniform rod about a transverse axis passing through its end is 0.012kg m2.