PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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3. 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.
C
FB=5 kN
Fp =7 kN
6 m
8m
2 m
3 m.
6 m.
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 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. Determine the resultant force and the moment of the resultant forse about the point O. Express your answer in terms of the unit vectors i, j and k.
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Similar questions
- If the couple moment has a magnitude of M, determine the magnitude F of the couple forces.arrow_forwardThe pipe assembly is subjected to three forces of F1 = {3.00, 4.00, -2.00} kip, F2 = {0, 0,-4.00} kip, and F3 = {-3.00, 0, 0} kip. Determine the sum of the moment of the forces 1) about x-axis (the unit vector of x is i) and 2) about line AC. Express the result as a Cartesian vector.arrow_forwardThe 60-N force acts at point A on the lever as shown. Replace the force at A by a force and couple moment acting at point 0 that will have an equivalent effect. 60 60 N 200 mmarrow_forward
- 1. Determine the magnitude of the moment of the 200-N force about the x axis. Solve 0.3 m F= 200 N the problem using both a scalar and a 45 vector analysis. 120 60 0.25 m 2. The chain AB exerts a force of 20 lb on the 3 ft door at B. Determine the magnitude of the 2 ft moment of this force along the hinged axis x of the door. F= 20 lb B. 4 ft 3 ft 20°arrow_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_forwardFind the equivalent resultant force and the couple moment created about point O by the resultant force. 9 kN/mj 1 w =-x* kN/m Question 4 3 marrow_forward
- do itarrow_forwardReplace the force system by an equivalent resultant force and couple moment at point O. Take F3={−200i+500j−250k}N. Determine the resultant force and determine the equivalent resultant couple moment about point O.arrow_forwardReplace the two wrenches and the force, acting on the pipe assembly, by an equivalent resultant force and couple moment at point O. Determine the equivalent force at point O and the couple moment at point O.arrow_forward
- 2. Determine the individual moment about point A of each of the three individual forces acting on the beam. F = 375 lb F, = 500 lb 4 0.5 ft 8 ft 6 ft 5 ft- 30° F3 = 160 lbarrow_forwardThe three forces act on the pipe assembly. If F1 = 50 N and F2 = 80 N, replace this force system by an equivalent resultant force and couple moment acting at O. Express the result in Cartesian vector form. Solution R = -210 k, M = -15 i+ 225 j %3Darrow_forwardReplace the loading acting on the frame by an equivalent resultant force and couple moment acting at point A. 80 lb 60 lb 3 ft 3 ft- 3 ft 3 ft B A 2 ft + 4 ft 75 lb 40 lbarrow_forward
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