PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Students have asked these similar questions
Replace the two forces acting on the pole by a wrench. Write the force R and moment M associated with the wrench as vectors and
specify the coordinates of the point P in the y-z plane through which the line of action of the wrench passes.
Assume F₁ = 46 N, F₂ = 107 N, a = 1.6 m, b = 6.3 m.
F₁
Answers:
R=( i
M = (i
I
Force and moment associated with wrench
Coordinates of point P.
(y,z) = (i
F₂
T
b
i+ i
¡+ i
i
j+ i
j+
) m
i
k) N
k) N-m
Handle forces F¡ and F2 are applied to the electric
drill. Replace this force system by an equivalent resultant
force and couple moment acting at point 0. Express the
results in Cartesian vector form.
Set F, = { 3j - 6k } N and F2 = { 9i - 4.5j - 15k } N
0.15 m-
0.25 m
0.3 m
SOLVE ASAPThe line of action of force F₁ = 388 N is passing through point A(+2,+3,+1) towards B(+5,+5, +4), while that of force F₂ = 488 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 Fi and F₂ about segment OE. Point O is the origin and point E is at (+5,+5,-3).
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- Don't copy and complete solution pleasearrow_forwardThe force-couple system consists of the force R=250i+360j400kN and the couple-vector CR=1200i+750j+560kNm. Determine the equivalent wrench and find the coordinates of the point where the axis of the wrench crosses the xy-plane.arrow_forwardDetermine the moment of the force F about point A in terms of F and d. Use (a) the scalar method; and (b) the vector method.arrow_forward
- The moment of the force F=50i100j70klb about point O is MO=400i+410j300klbft. Determine the coordinates of the point where the line of action of F intersects the xz-plane.arrow_forwardDetermine the moment of the force F=40i8j+5kN about the y-axis.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_forward
- When the three forces are replaced by an equivalent force-couple system with the force at point O, the couple vector CR is directed parallel to the x-axis. Determine F and the resultant force-couple system.arrow_forwardIf the resultant forces passed through point O,find the force F as Cartesian vector A Fg = 840 N 6 m Fc = 420 N 3 m B 2 m 3 m - 2 m Carrow_forwardIf the couple moment has a magnitude of 300 lb-ft, determine the magnitude of F of the couple forces 12 ft -F 7 ft 2 ft 1 ft 6ft F -12 ft-arrow_forward
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