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kaylinreed7
14.04.2020 •
Engineering
#198. Moment of inertia about center of a segmented bar A bar of width is formed of three uniform segments with lengths and areal densities given by: Matlab/Mathematica input: L1 = 6 rho1 = 1 L2 = 6 rho2 = 8 L3 = 4 rho3 = 5 What is the moment of inertia of the bar about the center of mass ?
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Ответ:
Complete Complete
The complete question is shown on the first uploaded image
The moment of inertia of the bar about the center of mass is
Explanation:
The free body diagram is shown on the second uploaded image
From the diagram we see that is
The mass of each segment is
The distance from the origin to the center of the segments i.e the center of masses for the individual segments
The resultant center of mass is mathematically evaluated as
The moment of Inertia of each segment of the bar is mathematically evaluated
According to parallel axis theorem the moment of inertia about the center (
) is mathematically evaluated as
Ответ: