Solve the Problem $I _ { Z }$ Of the Rectangular Solid of Density

question 268

Multiple Choice

Solve the problem.
-Find the moment of inertia $I _ { Z }$ of the rectangular solid of density $\delta ( x , y , z ) = x y z$ defined by $0 \leq x \leq 9,0 \leq y \leq 7$ , $0 \leq \mathrm { z } \leq 3$ .

• A) \(\frac { 2,321,865 } { 8 }\)
• B) \(\frac { 4,965,219 } { 16 }\)
• C) \(\frac { 1,035,909 } { 8 }\)
• D) \(\frac { 1,607,445 } { 8 }\)

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Definitions:

Sensorimotor

Pertaining to the initial developmental stage in Piaget's theory, where infants learn about the world primarily through sensory experiences and manipulating objects.

Formal Operational

The stage of cognitive development, according to Piaget, characterized by the ability to think abstractly, logically, and systematically.

Concrete Operational

A stage in Piaget's theory of cognitive development, occurring roughly between the ages of 7 and 11, where children gain the ability for logical thought regarding concrete objects.

Sensorimotor

Pertaining to the combination or interaction of sensory and motor functions, including the development of perceptual skills through physical activity.