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πŸ“ Moments, Centers Of Gravity, And Centroids

πŸ“– From Calculus β€’ 7. Applications of the Definite Integral In Geometry, Science, and Engineering β€’ 23 questions available

Practice MCQs for Moments, Centers Of Gravity, And Centroids. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

πŸ”„ Last updated: 2026-07-16

7
Easy Questions
10
Medium Questions
6
Hard Questions

πŸ“ Sample Questions

Q1. A triangle has vertices at (0,0), (4,0), and (0,3). What are the coordinates of its centroid?

πŸ”Ή A. (4/3,β€―1)
πŸ”Ή B. (2,β€―1)
πŸ”Ή C. (1,β€―1)
πŸ”Ή D. (4,β€―3)

πŸ’‘ Difficulty: easy | βœ… Correct: A

Q2. Find the x‑coordinate of the centroid of the region between \\(y=x^{2}\\) and \\(y=4\\) on \\([0,2]\\).

πŸ”Ή A. \\(\\frac{4}{3}\\)
πŸ”Ή B. \\(\\frac{8}{5}\\)
πŸ”Ή C. \\(\\frac{16}{7}\\)
πŸ”Ή D. \\(\\frac{12}{5}\\)

πŸ’‘ Difficulty: medium | βœ… Correct: B

Q3. A composite shape consists of a rectangle (0≀x≀4,0≀y≀2) and a triangle with vertices (0,2),(4,2),(2,5). Assuming uniform density, find the overall centroid.

πŸ”Ή A. (2,β€―3)
πŸ”Ή B. (2,β€―2.5)
πŸ”Ή C. (2,β€―2.75)
πŸ”Ή D. (2,β€―3.5)

πŸ’‘ Difficulty: hard | βœ… Correct: C

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πŸ”— Related Topics

πŸ“ Approximating RootsπŸ“ Areas and LimitsπŸ“ Continuity in ApplicationsπŸ“ Continuity of CompositionsπŸ“ Continuity of Inverse Functions
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