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Question: a ver hin strigh uni treating the rod as essentially...

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A ver hin strigh, uni Treating the rod as essentially a line segment of mass (distributed uniformly), do the following: (i) Use integration to prove that the rods center of mass is located at its center point (i.e. /2 from either end) (ii) Now use integration to calculate I the moment of inertia of the rod about an axis through that center of mass (and that axis is perpendicular to the rod). Compare with the result given on page 300 of the textbook. (iii) Now use two different methods- first by direct integration, then by using the Parallel Axis Theorem along with the previous result-to calculate lend the moment of inertia of the rod about an axis through one end of the rod (and that axis is perpendicular to the rod). Compare with the result given on page 300 of the textbook.

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