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A 300-N force P is applied at point A of the bell crank shown. (a) Compute the moment of the force P about O by resolving it into horizontal and vertical components. (b) Using the result of part a, determine the perpendicular distance from O to the line of action of P.
(a)
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The moment of the force P about O
Answer to Problem 3.147RP
The magnitude of the moment is about O is
Explanation of Solution
The magnitude of P is
Write the expression for the vector from O to A.
Here
Write the expression for the force vector
Write the expression for the moment at O.
Here
Conclusion:
Substitute (I) and (II) in the above equation to calculate
Thus, the magnitude of moment at O is
(b)
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The perpendicular distance from the point O to
Answer to Problem 3.147RP
The perpendicular distance from the point O to
Explanation of Solution
The magnitude of moment at O is
Write the expression to calculate the perpendicular distance from the point O to force
Here
Conclusion:
Substitute
Thus, the perpendicular distance from the point O to
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Chapter 3 Solutions
Vector Mechanics for Engineers: Statics, 11th Edition
- Given that T=43kN and W=38kN, determine the magnitude and sense of the moments about point B of the following: (a) the force T; (b) the force W; and (c) forces T and W combined.arrow_forwardThe arm ABCD of the industrial robot lies in a vertical plane that is inclined at 40 to the yz-plane. The arm CD makes an angle of 30 with the vertical. A socket wrench attached at point D applies a 52-lb ft couple about the arm CD, directed as shown. (a) Find the couple-vector that represents the given couple. (b) Determine the moment of the couple about the z-axis.arrow_forwardThe combined moment of the two forces, each of magnitude P, about point A is zero. Determine the distance d that locates A.arrow_forward
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- Please solve using vector method.arrow_forwardWhen the pole OA is in the position shown, the tension in cable AB is 6.6 kN. (a) Write the tension force exerted on the small collar at point A as a vector using the coordinates shown. (b) Determine the moment of this force about point O and state the moments about the x-, y-, and z-axes. (c) Determine the projection of this tension force onto line AO. OA = 11 m OB = 11 m OG = 7 m 63 27° Answers: TAB = ( i+ j+ -3.45 k) kN -5.01 -2.55 Mo = ( i i+ j+ -50.012 k) kN-m -17.23 -33.81 TẠO = kNarrow_forward4. Determine the resulting moment about point O from the forces shown. Assume the length of each side of the cube is 4m.arrow_forward
- (a) Determine the resultant of the system of parallel forces which act on the folded plate, i.e., replace the three given forces by a resultant force R and moment M about point O. (b) Find the location (i.e., coordinates) where single R will have the same effect as R and M together at O. Solve using the vector approach. B 250 N 300 N 240 mm 120 mm -160 mm 200 mm 200 mm 400 Narrow_forwardThe force F with a magnitude of 50.0 N is directed from point B to point C as shown in the figure. Determine:(a) The moment produced by F about the point O.(b) The magnitude of the moment that F produces with about the OA axis.(c) The minimum distance between point O and the line of action of F.(d) The minimum distance between the axis OA and the line of action of F.arrow_forwardA cube of side length a is acted upon by a force F as shown. Determine the magnitude of the moment of F about the diagonal AB. B A karrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L
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