3d force couple system and resultant - · pdf file03.07.2016 · 3d force couple...

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3D Force Couple System and Resultant Q.No.1: Replace the force system by an equivalent force and couple moment at point A . Q.No.2: Handle forces F1 and F2 are applied to the electric drill. Replace this force system by an equivalent resultant force and couple moment acting at point O . Express the results in Cartesian vector from.

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Page 1: 3D Force Couple System and Resultant - · PDF file03.07.2016 · 3D Force Couple System and Resultant Q.No.1: Replace the force system by an equivalent force and couple moment at point

3D Force Couple System and Resultant

Q.No.1: Replace the force system by an equivalent force and couple moment at point A .

Q.No.2: Handle forces F1 and F2 are applied to the electric drill. Replace this force system by an equivalent

resultant force and couple moment acting at point O . Express the results in Cartesian vector from.

Page 2: 3D Force Couple System and Resultant - · PDF file03.07.2016 · 3D Force Couple System and Resultant Q.No.1: Replace the force system by an equivalent force and couple moment at point

Q.No.3 Replace the loading system by an equivalent resultant force and couple moment acting at point O .

Q.No.4: The horizontal top of a concrete column is subjected to the system of forces shown. Represent the

resultant of all forces as a force R at point O and a couple M. Also specify the magnitudes of R and M.

Page 3: 3D Force Couple System and Resultant - · PDF file03.07.2016 · 3D Force Couple System and Resultant Q.No.1: Replace the force system by an equivalent force and couple moment at point

Q.No.5: The structure supports vertical forces F = 200 lb and P = 50 lb. Pipe segments BC and CD are

parallel to the y and x axes, respectively. Determine the resultant moment of both forces about point O.

Q.No.6: The turnbuckle is tightened until the tension in cable AB is 2.4 kN. Determine the moment about

point O of the cable force acting on point A and the magnitude of this moment.

Page 4: 3D Force Couple System and Resultant - · PDF file03.07.2016 · 3D Force Couple System and Resultant Q.No.1: Replace the force system by an equivalent force and couple moment at point

Q.No.7: Replace the loading system by an equivalent resultant force and couple moment acting at point O .

Q.No.8: Replace the two wrenches and the force, acting on the pipe assembly, by an equivalent resultant

force and couple moment at point O .

Page 5: 3D Force Couple System and Resultant - · PDF file03.07.2016 · 3D Force Couple System and Resultant Q.No.1: Replace the force system by an equivalent force and couple moment at point

Q.No.9: Replace the two forces acting on the post by a resultant force and couple moment at point O .

Express the results in Cartesian vector form.

Q.No.10: The structural member is subjected to a couple moment M and forces F1 and F2 in Fig. Replace

this system by an equivalent resultant force and couple moment acting at its base, point O .

Page 6: 3D Force Couple System and Resultant - · PDF file03.07.2016 · 3D Force Couple System and Resultant Q.No.1: Replace the force system by an equivalent force and couple moment at point

Q.No.11: Calculate the combined moment of the couple C and the force P about the axis AB. Use C =80 N ·

m and P =400 N.

Q.No.12: Replace the force and the couple shown with an equivalent force-couple system where the force

acts at A.

Q.No.13: Two cable tensions and a couple act on the rod OAB. Determine the equivalent force-couple

system with the force acting at O.

Page 7: 3D Force Couple System and Resultant - · PDF file03.07.2016 · 3D Force Couple System and Resultant Q.No.1: Replace the force system by an equivalent force and couple moment at point

Q.No.14: Replace the two forces and one couple acting on the rigid pipe frame by their equivalent resultant

force R acting at point O and a couple Mo

Q.No.15: Replace the two forces and a couple acting on the bent rod ABC with an 100 N equivalent force-

couple system with the force acting at C.

Q.No.16: Suppose that the tension in cable AB is 4 kN, and you want to adjust the tensions in cables AC and

AD so that the sum of the moments about the origin O due to the forces exerted by the cables at point A is

zero. Determine the tensions

Page 8: 3D Force Couple System and Resultant - · PDF file03.07.2016 · 3D Force Couple System and Resultant Q.No.1: Replace the force system by an equivalent force and couple moment at point

Q.No.17: The force system consists of the force P= −300i + 200j + 150k N and the couple C. Determine the

magnitude of C if the moment of this force system about the axis DE is 800 N · m.

Q.No.18: The combined action of the three forces on the base at O may be obtained by establishing their

resultant through O. Determine the magnitudes of R and the accompanying couple M.

Page 9: 3D Force Couple System and Resultant - · PDF file03.07.2016 · 3D Force Couple System and Resultant Q.No.1: Replace the force system by an equivalent force and couple moment at point

Q.No.19: A section of a piping system is acted on by the three couples shown in Fig. Determine the

magnitude of the resultant couple-vector CR and its direction cosines, given that the magnitudes of the

applied couples are C1 =50 N · m, C2 =90 N · m, and C3 =140 N · m.

Q.No.20: The right-angle pipe OAB of Prob. 2/111 is shown again here. Replace the 750-N tensile force

which the cable exerts on point B by a force–couple system at point O.

Page 10: 3D Force Couple System and Resultant - · PDF file03.07.2016 · 3D Force Couple System and Resultant Q.No.1: Replace the force system by an equivalent force and couple moment at point

Q.No.21: Replace the two forces and the negative wrench by a single force R applied at A and the

corresponding couple M.

Q.No.22:The concrete slab supports the six vertical loads shown. Determine the x- and y-coordinates of the

point on the slab through which the resultant of the loading system passes.

Page 11: 3D Force Couple System and Resultant - · PDF file03.07.2016 · 3D Force Couple System and Resultant Q.No.1: Replace the force system by an equivalent force and couple moment at point

Q.No.22:The thin rectangular plate is subjected to the four forces shown. Determine the equivalent force–

couple system at O.

Q.No.23:Determine the force–couple system at O which is equivalent to the two forces applied to the shaft

AOB. Is R perpendicular to Mo?

Page 12: 3D Force Couple System and Resultant - · PDF file03.07.2016 · 3D Force Couple System and Resultant Q.No.1: Replace the force system by an equivalent force and couple moment at point

Q.No.24: Replace the two forces and single couple by an equivalent force–couple system at point A.

Q.No.25: Replace the two forces and single couple by an equivalent force–couple system at point O.

Page 13: 3D Force Couple System and Resultant - · PDF file03.07.2016 · 3D Force Couple System and Resultant Q.No.1: Replace the force system by an equivalent force and couple moment at point
Page 14: 3D Force Couple System and Resultant - · PDF file03.07.2016 · 3D Force Couple System and Resultant Q.No.1: Replace the force system by an equivalent force and couple moment at point