Explanation Given: Tension in wire is 435 N . Concept used: Draw the diagram to illustrate the force acting at point A. Write the expression for the position vector for point A with respect to O. d → O A = ( − 90 i ^ + 160 j ^ − 0 k ^ ) mm Here, d → O A is the position vector for point A with respect to O. Write the expression for the position vector for point E with respect to A. d → A E = ( 210 i ^ − 160 j ^ + 120 k ^ ) mm Here, d → A E is the position vector for point E with respect to A. Write the expression for the magnitude of position vector for point E with respect to A. | d A E | = ( − 210 ) 2 + ( 160 ) 2 + ( − 120 ) 2 = 84100 = 290 mm Here, | d A E | is the magnitude of position vector for point E with respect to A. Write the expression for unit vector along line EA. n ^ A E = d → A E | d A E | ……. (1) Here, n ^ A E is the unit vector along line EA. Write the expression for representation of Tension in vector. T → = | T | ⋅ n ^ A E …… (2) Here, T → is the representation of tension in vector and | T | is the magnitude of tension. Write the expression for moment about point O. M O = d → O A × T → …… (3) Here, M O is the moment about point O. Calculation: Substitute ( 210 i ^ − 160 j ^ + 120 k ^ ) mm for d → A E and 290 mm for | d A E | in equation (1) n ^ A E = ( 210 i ^ − 160 j ^ + 120 k ^ ) 290 = ( 0 To determine (b) Moment about point O due to force acting at point E.

2nd Edition

ISBN: 9780073398167

Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David Mazurek

Publisher: McGraw-Hill Education

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Chapter 3.1, Problem 16P

To determine

(a)

Moment about point O due to force acting at point A.

To determine

(b)

Moment about point O due to force acting at point E.

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Chapter 3.1, Problem 15P

Chapter 3.1, Problem 17P

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(a) Moment about point O due to force acting at point A.