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Twp Point Masses m1 and m2 are joined by a weightless rod of length r. Calculate the moment of inertia of the system about an axis passing through the center of mass and perpendicular to the rod. Ans: (m1m2r^2)/(m1+m2)

Twp Point Masses m1 and m2 are joined by a weightless rod of length r. Calculate the moment of inertia of the system about an axis passing through the center of mass and perpendicular to the rod.


Ans: (m1m2r^2)/(m1+m2)

Grade:

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

Dear Nehal Wani


Center of mass of the system from mass m1  =  (m1*0 + m2*r)/(m1+m2)

                                                                 = m2 r/(m1+m2)

distance of COM from the mas m2  = [r- m2 r/(m1+m2)] 

                                                  =m1 r/(m1+m2)


moment of inertia I = m1 [m2 r/(m1+m2)]2 + m1[m1 r/(m1+m2)]2

                             =m1 m2 r2/(m1+m2)


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