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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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.
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
10"
10"
60 lb
Determine the magnitude of force P such that the resultant couple moment of the two couples acting on the beam is 853 lb·ftclockwise and force Q is 137 lb.
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 device shown is a part of an automobile seat-back-release mechanism. The part is subjected to the 4.0-N force exerted at A and a 380-N·mm restoring moment exerted by a hidden torsional spring. Determine the y-intercept of the line of action of the single equivalent force. Your answer will be positive if the intercept is above O and negative if below O.arrow_forwardDetermine the required magnitude of the couple moments M, and M, so that the resultant couple moment is zero. M= 300 N-marrow_forwardif F= 300 lb, determine the resultant couple momentarrow_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_forwardThe crowbar is subjected to a vertical force of P = 27 lb at the grip, whereas it takes a force of F = 160 lb at the claw to pull the nail out. The crowbar contacts the board at point A. Find the moment of the force P about point A and the moment of the force F about point A.arrow_forwardThe frictional effects of the air on the blades of the standing fan creates a couple momentof M0 = 6 joules on the blades. Determine the magnitude of the couple forces at the baseof the fan so that the resultant couple moment on the fan is zero.arrow_forward
- Replace 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_forwardThe equivalent resultant force acting on the beam is zero and the resultant couple moment is 7 kN⋅m clockwise. Determine the position a of the triangular load on the beam.arrow_forward
- Calculate the moment MB of the 605-N force about the bolt at B. Simplify your work by first replacing the force by its equivalent force- couple system at A. The moment is positive if counterclockwise, negative if clockwise. Assume F = 605 N, r = 215 mm, h = 705 mm, 0 = 33°, = 38° Answer: MB = i Ꮎ h N.marrow_forwardDetermine 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_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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