Which of the following formulas correctly Stephanie Saylor Foundat

Question 20 / 40: Which of the following formulas correctly describes the area and mass moments of inertia respectively? In the equations below, m represents mass, A represents area, and r represents the distance from the point about which the moment is calculated.

A $$I_A= \int_Ar^2 dA, \quad I_m= \int_m r^2 dm$$

B $$I_A= \int_Ar^1 dA, \quad I_m= \int_mr^ 1 dm$$

C $$I_A= \int_Ar^3 dA, \quad I_m= \int_mr^3 dm$$

D $$I_A= \int_Ar^2 dm dA, \quad I_m= \int_mr^2 dA dm$$

E $$I_A= \int_Ar^3 dm dA, \quad I_m= \int_m^3 dA dm$$

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Explanation:

The area and mass moments of inertia are the area and mass integrals weighted by the square of the distance from a reference point. See subunit 2.1. You may want to repeat the computational exercise there for reinforcement of the concepts.

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Mechanics I ME102

Author:

Stephanie Redfern

The Saylor Foundation

USA

Access: Public Instant Grading

Attribution: Stephanie Redfern, Ranjeet (Ron) Agarwala, and Dr. Steve Gibbs. Mechanics I. The Saylor Academy 2014, http://www.saylor.org/courses/me102/

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