Where is the center of gravity located for any uniform geometric lamina_______________?
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Answer: C. the mid point of its axis
Explanation
Geometric symmetry dictates that mass is distributed evenly around the central axis of the lamina. Balancing all infinitesimal mass elements results in the aggregate center of gravity resting on the axis. The exact midpoint of this symmetry axis serves as the universal balancing point for uniform shapes. The center of gravity represents the average location of the weight distribution of a physical body. Uniform laminas possess constant density throughout their two dimensional area without internal material variations. Axes of symmetry divide geometric shapes into two identical mirror images along a central reference line.
Structural engineers rely on symmetry principles to simplify complex calculations for plate and sheet metal components. Manufacturing processes for sheet metal parts require precise center of gravity placement for handling stability. Balancing rotating flat components in machinery prevents dangerous vibrations and premature mechanical wear. Option A is incorrect because mass is not necessarily concentrated exclusively in the heaviest portion alone. Option B fails because boundaries do not dictate the internal balancing point of uniform geometric shapes. Option D is wrong since only the midpoint of the axis satisfies uniform symmetry conditions.
- Subject
- Engineering
- Category
- Civil Engineering
- Topic
- —
- Difficulty
- medium
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