Q. Two point masses each of mass 5 kg are situated at the ends of a massless thin rod of length 1-0 m. Find the moment of inertia of the system when axis of rotation : (i) passes through the centre of mass and is perpendicular to the length of rod. (ii) passes through a particle and is perpendicular to the length of a rod. con
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Answer:
Given,
Both objects have mass =M
The separation between them =L
Both objects has equal mass, canter of mass will be at the axis.
Distance of object from center of mass d=2L
Moment of Inertia = Mass X (Distance from axis)2
Total moment of Inertia = Moment of Inertia of object 1 + Moment of Inertia of object 1
I=Md2+Md2
I=M(2L)2+M(2L)2
I=2ML2
Moment of Inertia of system I=2ML2
Explanation:
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