Explanation Given: The height and radius of the cylindrical column: h = 4 meter r = 0.8 meter Density of the material is 600 k g / m 3 Calculation: Think the column as a stack of n thin layers of width δ y = 4 n . Now, first compute the gravitational force on a thin layer of width δ y . It is given that that the height and square base of the solid box. Then, the volume of the solid box is V = area × width ⇒ V = π 0.64 δ y m 3 Now to find the mass of the structure. As density = mass volume ⇒ mass = volume × density ⇒ mass = 0.64 π δ y × 600 ⇒ mass = 1205.76 δ y k g Now, as per newton’s rule, force of the solid box is f = m g f = 1205.76 δ y × 9.8 f = 11816.448 δ y N The work performed in lifting in this layer to height y is equal to the force time the distance y , which is ( 11816.448 δ y ) y .set L ( y ) = 11816

4th Edition

ISBN: 9781319055905

Author: FRANZOSA

Publisher: VST

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Chapter 6.5, Problem 12E

To determine

To calculate:

the work against gravity required to build the structure out of a lightweight.

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Chapter 6.5, Problem 11E

Chapter 6.5, Problem 13E

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Chapter 6 Solutions

EBK CALCULUS: EARLY TRANSCENDENTALS

Ch. 6.1 - Prob. 1PQ Ch. 6.1 - Prob. 2PQ Ch. 6.1 - Prob. 3PQ Ch. 6.1 - Prob. 4PQ Ch. 6.1 - Prob. 5PQ Ch. 6.1 - Prob. 6PQ Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E

Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Prob. 7E Ch. 6.1 - Prob. 8E Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E Ch. 6.1 - Prob. 11E Ch. 6.1 - Prob. 12E Ch. 6.1 - Prob. 13E Ch. 6.1 - Prob. 14E Ch. 6.1 - Prob. 15E Ch. 6.1 - Prob. 16E Ch. 6.1 - Prob. 17E Ch. 6.1 - Prob. 18E Ch. 6.1 - Prob. 19E Ch. 6.1 - Prob. 20E Ch. 6.1 - Prob. 21E Ch. 6.1 - Prob. 22E Ch. 6.1 - Prob. 23E Ch. 6.1 - Prob. 24E Ch. 6.1 - Prob. 25E Ch. 6.1 - Prob. 26E Ch. 6.1 - Prob. 27E Ch. 6.1 - Prob. 28E Ch. 6.1 - Prob. 29E Ch. 6.1 - Prob. 30E Ch. 6.1 - Prob. 31E Ch. 6.1 - Prob. 32E Ch. 6.1 - Prob. 33E Ch. 6.1 - Prob. 34E Ch. 6.1 - Prob. 35E Ch. 6.1 - Prob. 36E Ch. 6.1 - Prob. 37E Ch. 6.1 - Prob. 38E Ch. 6.1 - Prob. 39E Ch. 6.1 - Prob. 40E Ch. 6.1 - Prob. 41E Ch. 6.1 - Prob. 42E Ch. 6.1 - Prob. 43E Ch. 6.1 - Prob. 44E Ch. 6.1 - Prob. 45E Ch. 6.1 - Prob. 46E Ch. 6.1 - Prob. 47E Ch. 6.1 - Prob. 48E Ch. 6.1 - Prob. 49E Ch. 6.1 - Prob. 50E Ch. 6.1 - Prob. 51E Ch. 6.1 - Prob. 52E Ch. 6.1 - Prob. 53E Ch. 6.1 - Prob. 54E Ch. 6.1 - 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the work against gravity required to build the structure out of a lightweight.

Solution Summary: The author calculates the work against gravity required to build the structure out of a lightweight.

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To calculate: the work against gravity required to build the structure out of a lightweight.

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Chapter 6 Solutions

To calculate:

the work against gravity required to build the structure out of a lightweight.