Concept explainers
(a)
The moment about origin
(a)
Answer to Problem 3.20P
The moment about origin
Explanation of Solution
Write an expression to calculate the moment of the force at the origin
Here
Write an expression to represent force vector.
Here,
Write an expression to represent position vector of point
Here,
Write an expression to calculate the moment of force.
Conclusion:
Substitute
Thus, the moment about origin
(b)
The moment about origin
(b)
Answer to Problem 3.20P
The moment about origin
Explanation of Solution
Write an expression to calculate the moment of the force at the origin
Write an expression to represent force
Write an expression to represent position vector of point
Write an expression to calculate the moment of force.
Conclusion:
Substitute
Thus, the moment about origin
(c)
The moment about origin
(c)
Answer to Problem 3.20P
The moment about origin
Explanation of Solution
Write an expression to calculate the moment of the force at the origin
Write an expression to represent force vector.
Write an expression to represent position vector of point
Write an expression to calculate the moment of force.
Conclusion:
Substitute
Thus, the moment about origin is
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Chapter 3 Solutions
Vector Mechanics for Engineers: Statics
- Determine the moment about the origin O of the force F = 4i + 10j + 6k that acts at a point A. Assume that the position vector of A is (a) r = 2i − 3j + 4k, (b) r = 2i + 6j + 3k, (c) r = 2i + 5j + 6k.arrow_forwardThe line of action of force F1 = 3TT N is passing through point A(+2,+3,+1) towards B(+5,+5,+4), while that of force F2 = 4QQ N is through point C(+3,+1, –1) towards D(–2, –3, –4). Use a right-handed coordinate system. a. Determine the moment of force F1 about the origin. b. Determine the moment of force F2 about the origin. c. Determine the magnitude of the resultant moment of forces F1 and F2 about segment OE. Point O is the origin and point E is at (+5,+5,–3). Where: Q=2 T=6arrow_forwardThe moment of the force F=1440-lb about the point O in Cartesian vector form is. F 1 ft> 4 ft' 2 ft 4 ft. Select one: O a. Mo = 2400j – 4800k а. O b. Mo = -200j + 400k O c. Mo = -200j – 400k O d. Mo = 200j + 400karrow_forward
- my choice The moment of the force F=720-lb about the point O in Cartesian vector form is. 1 ft B 4 ft 2 ft AC A 4 ft Select one:arrow_forwardThe moment of the force F=960-lb about the point O in Cartesian vector form is. F 1 ft 4 ft 2 ft A 4 ft. Select one: O a. Mo = 1600j – 3200k O b. Mo = -200j + 400k %3D O c. Mo = -200j - 400k %3D O d. Mo = 200j + 400k %3Darrow_forwardThe line of action of force F passes through points A and D. Find the component of the moment of force F about axis BC, given: F = 300 N, AX = 7 m, AY = 9 m, AZ = 9 m, BX = 6 m, BY = 6 m, BZ = 6 m, CX = 8 m, CY = 10 m, CZ = 9 m, DX = 4 m, DY = 5 m, DZ = 4 marrow_forward
- 2. Determine the moment of a 90 N force about point C for the condition 0 = 15°. 600mm B A 90N 800mmarrow_forwardStep by step solution for easy understanding of the question. determine the distance of d between points A and B so that the resultant moment about point O has a a magnitude of 20N.m. (Hint: The forces 35k N and -50i N are concurrent at point B and the forces -35k N and 50i N are concurrent at point A).arrow_forward3- If the two forces F, (100i - 120j + 75k) Ib and F, = {-200i + 250j + 100k) lb act at A, determine the resultant moment produced by these forces about point O. Express the result as a Cartesian vector.arrow_forward
- The moment of the force F=180-lb about the point O in Cartesian vector form is. 1 ft 4 ft 2 ft 4 ft. Select one: O a. Mo = 300j – 600OK O b. Mo = -200j + 400k O . Mo = -200j – 400k O d. Mo = 2003 + 400karrow_forwardGiven: F1={9 i - 9 j+ 10 k}lb F2={-10 i+10 j+ 10 k}lb Find: the Magnitude of the Resultant moment in (Ib.ft) generated by the forces about point O. 4 ft 5 ft 3 ftarrow_forwardDetermine the moment about the origin O of the force F= -21-3j+5k that acts at point A. Assume that the position vector of A is F = 4î+63 - 10k. Also, determine the equivalent force (if possible) that could be applied at F = 41+33 +5k that would induce the same effect. If it is not possible, show/explain why not.arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L