Explanation Given information : The force F is 80 N. Determine the position vector for point AC . r A C = r C − r A = ( x C i + y C j + z C k ) − ( x A i + y A j + z A k ) = ( x C − x A ) i + ( y C − y A ) j + ( z C − z A ) k (I) Here, the position vector for point C is r C , the position vector for point A is r A , the distance of point C from the origin along x direction is x C , the distance of point C from the origin along y direction is y C , the distance of point C from the origin along z direction is z C , the distance of point A from the origin along x direction is x A , the distance of point A from the origin along y direction is y A , the distance of point A from the origin along z direction is z A , the vector component along x direction is i, the vector component along y direction is j, and the vector component along z direction is k. Determine the modulus of position vector for point AC . | r A C | = ( x C − x A ) 2 + ( y C − y A ) 2 + ( z C − z A ) 2 (II) Express the force F as follows: F = F [ r A C | r A C | ] (III) Determine the position vector for point OC . r O C = r C − r O = ( x C i + y C j + z C k ) − ( x O i + y O j + z O k ) = ( x C − x O ) i + ( y C − y O ) j + ( z C − z O ) k (IV) Here, the position vector for point O is r O , the distance of point O from the origin along x direction is x O , the distance of point O from the origin along y direction is y O , the distance of point O from the origin along z direction is z O . Determine the moment ( M O ) of this force about point O using the formula. M O = r O C × F (V) Conclusion : Substitute 1.0 m for x C , 0 m for x A , –3.0 m for y C , 0 m for y A , –2.0 m for z C , and 0 m for z A in Equation (I). r A C = ( 1 − 0 ) i + ( − 3 − 0 ) j + ( − 2 − 0 ) k = ( 1 i − 3 j − 2 k ) m Substitute 1.0 m for x C , 0 m for x A , –3

Engineering Mechanics: Statics and Study Pack (13th Edition)

13th Edition

ISBN: 9780133027990

Author: Russell C. Hibbeler

Publisher: Prentice Hall

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Chapter 4.4, Problem 36P

To determine

The moment of this force about point O.

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Chapter 4.4, Problem 35P

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Chapter 4 Solutions

Engineering Mechanics: Statics and Study Pack (13th Edition)

Ch. 4.4 - F41. Determine the moment of the force about point...Ch. 4.4 - F42. Determine the moment of the force about point...Ch. 4.4 - F43. Determine the moment of the force about point...Ch. 4.4 - Neglect the thickness of the member.Ch. 4.4 - F45. Determine the moment of the force about point...Ch. 4.4 - F46. Determine the moment of the force about point...Ch. 4.4 - F47. Determine the resultant moment produced by...Ch. 4.4 - F48. Determine the resultant moment produced by...Ch. 4.4 - F49. Determine the resultant moment produced by...Ch. 4.4 - Express the result as a Cartesian vector.

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The moment of this force about point O .

The moment of this force about point O.

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