Mass moment of inertia of a uniform thin rod of mass (m) and length (l) about its mid-point and
perpendicular to its length is-
-
A.
2/3 ml²
-
B.
ml² /12
-
C.
ml² /3
-
D.
3/4 ml²
Correct Answer:
B. ml² /12
Explanation:
The moment of inertia (I) measures a body's resistance to rotational motion about a specific axis. For a uniform thin rod of mass (m) and length (l), the distribution of mass relative to the rotation axis determines this value. When the axis passes through the rod's center of mass (the midpoint) and is perpendicular to its length, the mass is distributed evenly on both sides, resulting in the standard formula I = ml2 / 12. If the axis were shifted to one end of the rod, the moment of inertia would increase to ml2 / 3 because the mass is distributed further away from the pivot point.
Click below to open Discussion & Feedback
0 Issues
Please
login to comment or Report Issues.