PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 4, Problem 4RP
To determine
The magnitude of the couple force.
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Replace the three forces acting on the bent pipe by a single equivalent force R. Specify the distance
d from point O to the point on the x-axis through which the line of action of R passes:
50 lb
40 lb
10
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10"
60 lb
The 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.
The 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 mm
Chapter 4 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 4 - Determine the moment of the force about point O.Ch. 4 - Determine the moment of the force about point O.Ch. 4 - Determine the resultant moment produced by the...Ch. 4 - Determine the resultant moment produced by the...Ch. 4 - Determine the resultant moment produced by the...Ch. 4 - Determine the moment about point B of each of the...Ch. 4 - Determine the moment of each of the three forces...Ch. 4 - Determine the moment of each of the three forces...Ch. 4 - Determine the moment of each force about the bolt...Ch. 4 - Two men exert forces of F = 80 lb and P = 50 lb on...
Ch. 4 - Prob. 13PCh. 4 - In order to pull out the nail at B, the force F...Ch. 4 - The tower crane is used to hoist the 2-Mg load...Ch. 4 - The tower crane is used to hoist a 2-Mg load...Ch. 4 - Prob. 39PCh. 4 - Prob. 43PCh. 4 - Prob. 61PCh. 4 - Prob. 100PCh. 4 - Prob. 106PCh. 4 - Prob. 135PCh. 4 - Prob. 154PCh. 4 - Prob. 1RPCh. 4 - Replace the force F having a magnitude of F = 50...Ch. 4 - Prob. 3RPCh. 4 - Prob. 4RPCh. 4 - Prob. 5RPCh. 4 - Prob. 6RPCh. 4 - Prob. 7RPCh. 4 - Prob. 8RP
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- The ends of the triangular plate are subjected to three couples. Determine the magnitude of the force F so that the resultant couple moment is 500 N.m clockwise Please include a Freebody Diagram, Proper Labels, Givens and Solutionarrow_forwardHandle 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.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
- 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-marrow_forward1. 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_forwardReplace the force system acting on the post by a resultant force, and specify its angle from the y axis and where its line of action intersects the post AB measured from point B.arrow_forward
- Determine the magnitude of the moment of this force along the hinged axis x of the door.arrow_forwardReplace the loading system by an equivalent resultant force and specify where the resultant's line of action intersects the horizontal segment of the member measured from A. Set: F1 = 18 kN F2 = 14 kN 4 F1 2 m 2 m 2 m 2 m B FR = kN d =arrow_forwardReplace the loading system by an equivalent resultant force and couple moment acting at point A. 100 lb 1 ft • S0 Ib 3 ft- 3ft 150 lbarrow_forward
- Determine the downward vertical door weight (acting in door middle in negative z direction) that would be needed to balance the moment of the 200 N force about the door hinges. m B 2m 0.5 m Z F = 200 N 2.5 m 15°arrow_forwardReplace the force and couple moment system acting on the beam in the figure by an equivalent resultant force, and find where its line of action intersects the beam, mesured from point Oarrow_forward1: Replace the load shown with the equivalent force and moment couple acting at point O. 8 kN/m 5 kN/m - 1.5 m- -0.75 m→-- 0.75 m-arrow_forward
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