Explanation V g = − W R 2 r Setting: r = R + y V g = − W R 2 R + y = − W R 1 + y R V g = − W R ( 1 + y R ) − 1 V g = − W R [ 1 + ( − 1 ) 1 y R + ( − 1 ) ( − 2 ) 1 To determine (b) Second − order approximation for V g by using the same expansion.

Vector Mechanics for Engineers: Dynamics

11th Edition

ISBN: 9780077687342

Author: Ferdinand P. Beer, E. Russell Johnston Jr., Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

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Chapter 13.2, Problem 13.92P

To determine

(a)

Expression in Eq. (13.16) for the potential energy Vg due to gravity is a first − order approximation for the expression in Eq. (13.17’).

To determine

(b)

Second − order approximation for Vg by using the same expansion.

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Chapter 13.2, Problem 13.91P

Chapter 13.2, Problem 13.93P

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Vector Mechanics for Engineers: Dynamics

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(a) Expression in Eq. (13.16) for the potential energy V g due to gravity is a first − order approximation for the expression in Eq. (13.17’).

Solution Summary: The author explains the expression in Eq. (13.16) for the potential energy V_g due to gravity.

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(a)

Expression in Eq. (13.16) for the potential energy Vg due to gravity is a first − order approximation for the expression in Eq. (13.17’).

(b)

Second − order approximation for Vg by using the same expansion.

Want to see the full answer?

Chapter 13 Solutions

(a) Expression in Eq. (13.16) for the potential energy V g due to gravity is a first − order approximation for the expression in Eq. (13.17’).

Solution Summary: The author explains the expression in Eq. (13.16) for the potential energy V_g due to gravity.

Concept explainers

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(a) Expression in Eq. (13.16) for the potential energy Vg due to gravity is a first − order approximation for the expression in Eq. (13.17’).

(b) Second − order approximation for Vg by using the same expansion.

Want to see the full answer?

Chapter 13 Solutions

(a)

Expression in Eq. (13.16) for the potential energy Vg due to gravity is a first − order approximation for the expression in Eq. (13.17’).

(b)

Second − order approximation for Vg by using the same expansion.