INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
14th Edition
ISBN: 9780133918922
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 4.4, Problem 28P

Express the result as a Cartesian vector.

Chapter 4.4, Problem 28P, Express the result as a Cartesian vector.

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Problem (17): water flowing in an open channel of a rectangular cross-section with width (b) transitions from a mild slope to a steep slope (i.e., from subcritical to supercritical flow) with normal water depths of (y₁) and (y2), respectively. Given the values of y₁ [m], y₂ [m], and b [m], calculate the discharge in the channel (Q) in [Lit/s]. Givens: y1 = 4.112 m y2 = 0.387 m b = 0.942 m Answers: ( 1 ) 1880.186 lit/s ( 2 ) 4042.945 lit/s ( 3 ) 2553.11 lit/s ( 4 ) 3130.448 lit/s
Problem (14): A pump is being used to lift water from an underground tank through a pipe of diameter (d) at discharge (Q). The total head loss until the pump entrance can be calculated as (h₁ = K[V²/2g]), h where (V) is the flow velocity in the pipe. The elevation difference between the pump and tank surface is (h). Given the values of h [cm], d [cm], and K [-], calculate the maximum discharge Q [Lit/s] beyond which cavitation would take place at the pump entrance. Assume Turbulent flow conditions. Givens: h = 120.31 cm d = 14.455 cm K = 8.976 Q Answers: (1) 94.917 lit/s (2) 49.048 lit/s ( 3 ) 80.722 lit/s 68.588 lit/s 4
Problem (13): A pump is being used to lift water from the bottom tank to the top tank in a galvanized iron pipe at a discharge (Q). The length and diameter of the pipe section from the bottom tank to the pump are (L₁) and (d₁), respectively. The length and diameter of the pipe section from the pump to the top tank are (L2) and (d2), respectively. Given the values of Q [L/s], L₁ [m], d₁ [m], L₂ [m], d₂ [m], calculate total head loss due to friction (i.e., major loss) in the pipe (hmajor-loss) in [cm]. Givens: L₁,d₁ Pump L₂,d2 오 0.533 lit/s L1 = 6920.729 m d1 = 1.065 m L2 = 70.946 m d2 0.072 m Answers: (1) 3.069 cm (2) 3.914 cm ( 3 ) 2.519 cm ( 4 ) 1.855 cm TABLE 8.1 Equivalent Roughness for New Pipes Pipe Riveted steel Concrete Wood stave Cast iron Galvanized iron Equivalent Roughness, & Feet Millimeters 0.003-0.03 0.9-9.0 0.001-0.01 0.3-3.0 0.0006-0.003 0.18-0.9 0.00085 0.26 0.0005 0.15 0.045 0.000005 0.0015 0.0 (smooth) 0.0 (smooth) Commercial steel or wrought iron 0.00015 Drawn…

Chapter 4 Solutions

INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)

Ch. 4.4 - P41. In each case, determine the moment of the...Ch. 4.4 - P42. In each case, set up the determinant to find...Ch. 4.4 - F41. Determine the moment of the force about point...Ch. 4.4 - F42. Determine the moment of the force about point...Ch. 4.4 - F43. Determine the moment of the force about point...Ch. 4.4 - Neglect the thickness of the member.Ch. 4.4 - F45. Determine the moment of the force about point...Ch. 4.4 - F46. Determine the moment of the force about point...Ch. 4.4 - F47. Determine the resultant moment produced by...Ch. 4.4 - F48. Determine the resultant moment produced by...
Ch. 4.4 - F49. Determine the resultant moment produced by...Ch. 4.4 - Express the result as a Cartesian vector.Ch. 4.4 - Express the result as a Cartesian vector.Ch. 4.4 - Express the result as a Cartesian vector.Ch. 4.4 - If A, B, and D are given vectors, prove the...Ch. 4.4 - Prove the triple scalar product identity A (B C)...Ch. 4.4 - Given the three nonzero vectors A, B and C, show...Ch. 4.4 - Determine the moment about point A of each of the...Ch. 4.4 - Determine the moment about point B of each of the...Ch. 4.4 - Find the moment of each force about point A and...Ch. 4.4 - Determine the moment of each of the three forces...Ch. 4.4 - Determine the moment of each of the three forces...Ch. 4.4 - Take FB = 40 lb, FC = 50 lb. Probs. 49/10Ch. 4.4 - If FB = 30 lb and FC = 45 lb, determine the...Ch. 4.4 - What is this moment?Ch. 4.4 - If x = 10 m, determine the position of the boom...Ch. 4.4 - What is the moment of this force about point B....Ch. 4.4 - Determine the moment of this force about point O....Ch. 4.4 - Determine the moment of each force about A. Which...Ch. 4.4 - If the man at B exerts a force of P = 30 lb on his...Ch. 4.4 - The mechanic reads the torque on the scale at B....Ch. 4.4 - Determine the torque (moment) MP that the applied...Ch. 4.4 - The tongs are used to grip the ends of the...Ch. 4.4 - The handle of the hammer is subjected to the force...Ch. 4.4 - In order to pull out the nail at B, the force F...Ch. 4.4 - The purpose of the fusee is to increase the...Ch. 4.4 - The tower crane is used to hoist the 2-Mg load...Ch. 4.4 - The tower crane is used to hoist a 2-Mg load...Ch. 4.4 - If the 1500-lb boom AB, the 200-lb cage BCD, and...Ch. 4.4 - If the 1500-lb boom AB, the 200-lb cage BCD, and...Ch. 4.4 - Determine the moment of the force F about point O....Ch. 4.4 - Express the result as a Cartesian vector.Ch. 4.4 - The force F = {400i 100j 700k} lb acts at the...Ch. 4.4 - The force F = {400i 100j 700k} lb acts at the end...Ch. 4.4 - Determine the moment of the force F about point P....Ch. 4.4 - The pipe assembly is subjected to the force of F =...Ch. 4.4 - The pipe assembly is subjected to the force of F =...Ch. 4.4 - Determine the moment of the force of F = 600 N...Ch. 4.4 - Determine the smallest force F that must be...Ch. 4.4 - Determine the coordinate direction angles , , of...Ch. 4.4 - Determine the moment of force F about point O. The...Ch. 4.4 - Determine the moment of the force F about the door...Ch. 4.4 - Determine the moment of the force F about the door...Ch. 4.4 - Determine the smallest force F that must be...Ch. 4.4 - Determine the smallest force F that must be...Ch. 4.4 - A 20-N horizontal force is applied perpendicular...Ch. 4.4 - The pipe assembly is subjected to the 80-N force....Ch. 4.4 - The pipe assembly is subjected to the 80-N force....Ch. 4.4 - A force F = {6i 2j + 1k}kN produces a moment of...Ch. 4.4 - The force F = {6i + 8j + 10k}N creates a moment...Ch. 4.4 - A force F having a magnitude of F = 100N acts...Ch. 4.4 - Force F acts perpendicular to the inclined plane....Ch. 4.4 - Force F acts perpendicular to the inclined plane....Ch. 4.4 - Strut AB of the 1-m-diameter hatch door exerts a...Ch. 4.4 - Using a ring collar, the 75-N force can act in the...Ch. 4.5 - P43. In each case, determine the resultant moment...Ch. 4.5 - P44. In each case, set up the determinant needed...Ch. 4.5 - F413. Determine the magnitude of the moment of the...Ch. 4.5 - F414. Determine the magnitude of the moment of the...Ch. 4.5 - Prob. 15FPCh. 4.5 - F416. Determine the magnitude of the moment of the...Ch. 4.5 - Express the result as a Cartesian vector.Ch. 4.5 - Prob. 18FPCh. 4.5 - The lug nut on the wheel of the automobile is to...Ch. 4.5 - Solve Prob. 4-52 if the cheater pipe AB is slipped...Ch. 4.5 - The A-frame is being hoisted into an upright...Ch. 4.5 - The A-frame is being hoisted into an upright...Ch. 4.5 - Determine the magnitude of the moments of the...Ch. 4.5 - Determine the moment of this force F about an axis...Ch. 4.5 - The board is used to hold the end of a four-way...Ch. 4.5 - The board is used to hold the end of a four-way...Ch. 4.5 - The A-frame is being hoisted into an upright...Ch. 4.5 - Determine the magnitude of the moment of the force...Ch. 4.5 - Determine the magnitude of the moment of the force...Ch. 4.5 - Determine the magnitude of the moment of the force...Ch. 4.5 - A horizontal force of F = {50i} N is applied...Ch. 4.5 - Determine the magnitude of the horizontal force F...Ch. 4.5 - The force of F = 30 N acts on the bracket as...Ch. 4.6 - F419. Determine the resultant couple moment acting...Ch. 4.6 - F420. Determine the resultant couple moment acting...Ch. 4.6 - Determine the magnitude of F so that the resultant...Ch. 4.6 - Determine the couple moment acting on the beam.Ch. 4.6 - Determine the resultant couple moment acting on...Ch. 4.6 - Determine the couple moment acting on the pipe...Ch. 4.6 - A clockwise couple M = 5 N m is resisted by the...Ch. 4.6 - A twist of 4 N m is applied to the handle of the...Ch. 4.6 - If the resultant couple of the three couples...Ch. 4.6 - Two couples act on the beam. If F = 125 lb,...Ch. 4.6 - Two couples act on the beam. Determine the...Ch. 4.6 - Determine the magnitude of the couple forces F so...Ch. 4.6 - The ends of the triangular plate are subjected to...Ch. 4.6 - The man tries to open the valve by applying the...Ch. 4.6 - If the valve can be opened with a couple moment of...Ch. 4.6 - Determine the magnitude of F so that the resultant...Ch. 4.6 - Two couples act on the beam as shown. If F = 150...Ch. 4.6 - Two couples act on the beam as shown. Determine...Ch. 4.6 - Two couples act on the frame. If the resultant...Ch. 4.6 - Two couples act on the frame. If d = 4 ft...Ch. 4.6 - Two couples act on the frame. If d = 4 ft,...Ch. 4.6 - Express the moment of the couple acting on the...Ch. 4.6 - If M1 = 180 lb ft, M2 = 90 lb ft, and M3 = 120...Ch. 4.6 - Determine the magnitudes of couple moments M1, M2,...Ch. 4.6 - The gears are subjected to the couple moments...Ch. 4.6 - Prob. 86PCh. 4.6 - Determine the resultant couple moment of the two...Ch. 4.6 - Express the moment of the couple acting on the...Ch. 4.6 - In order to turn over the frame, a couple moment...Ch. 4.6 - Express the moment of the couple acting on the...Ch. 4.6 - If the couple moment acting on the pipe has a...Ch. 4.6 - If F = 80 N, determine the magnitude and...Ch. 4.6 - If the magnitude of the couple moment acting on...Ch. 4.6 - Express the moment of the couple acting on the rod...Ch. 4.6 - If F1 = 100 N, F2 = 120 N, and F3 = 80 N,...Ch. 4.6 - Prob. 96PCh. 4.7 - P45. In each case, determine the x and y...Ch. 4.7 - Replace the leading system by an equivalent...Ch. 4.7 - Prob. 26FPCh. 4.7 - Replace the loading system by an equivalent...Ch. 4.7 - Replace the loading system by an equivalent...Ch. 4.7 - Replace the loading system by an equivalent...Ch. 4.7 - Replace the loading system by an equivalent...Ch. 4.7 - Replace the force system by an equivalent...Ch. 4.7 - Replace the force system by an equivalent...Ch. 4.7 - Replace the force system acting on the beam by an...Ch. 4.7 - Replace the force system acting on the beam by an...Ch. 4.7 - Replace the loading system acting on the beam by...Ch. 4.7 - Replace the loading system acting on the post by...Ch. 4.7 - Replace the loading system acting on the post by...Ch. 4.7 - Replace the force system acting on the post by a...Ch. 4.7 - Replace the force system acting on the frame by an...Ch. 4.7 - The forces F1 = {4i + 2j 3k) kN and F2 = {3i 4j...Ch. 4.7 - A biomechanical model of the lumbar region of the...Ch. 4.7 - Replace the force system by an equivalent...Ch. 4.7 - Replace the loading by an equivalent resultant...Ch. 4.7 - Replace the force of F = 80 N acting on the pipe...Ch. 4.7 - The belt passing over the pulley is subjected to...Ch. 4.7 - The belt passing over the pulley is subjected to...Ch. 4.8 - P46. In each case, determine the x and y...Ch. 4.8 - P47. In each case, determine the resultant force...Ch. 4.8 - Replace the loading system by an equivalent...Ch. 4.8 - Replace the loading system by an equivalent...Ch. 4.8 - Replace the loading system by an equivalent...Ch. 4.8 - Replace the loading system by an equivalent...Ch. 4.8 - Replace the loading shown by an equivalent single...Ch. 4.8 - Replace the loading shown by an equivalent single...Ch. 4.8 - The weights of the various components of the truck...Ch. 4.8 - The weights of the various components of the truck...Ch. 4.8 - Prob. 115PCh. 4.8 - Prob. 116PCh. 4.8 - Replace the loading acting on the beam by a single...Ch. 4.8 - Replace the loading acting on the beam by a single...Ch. 4.8 - Replace the loading on the frame by a single...Ch. 4.8 - Replace the loading on the frame by a single...Ch. 4.8 - Replace the loading on the frame by a single...Ch. 4.8 - Replace the force system acting on the post by a...Ch. 4.8 - Replace the force system acting on the post by a...Ch. 4.8 - Replace the parallel force system acting on the...Ch. 4.8 - Replace the force and couple system acting on the...Ch. 4.8 - Replace the force and couple system acting on the...Ch. 4.8 - Prob. 127PCh. 4.8 - Determine the magnitudes of FA and FB so that the...Ch. 4.8 - The tube supports the four parallel forces....Ch. 4.8 - The building slab is subjected to four parallel...Ch. 4.8 - The building slab is subjected to four parallel...Ch. 4.8 - If FA= 40 kN and FB = 35 kN, determine the...Ch. 4.8 - Prob. 133PCh. 4.8 - Replace the two wrenches and the force, acting on...Ch. 4.8 - Replace the force system by a wrench and specify...Ch. 4.8 - Replace the five forces acting on the plate by a...Ch. 4.8 - Replace the three forces acting on the plate by a...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Replace the loading by an equivalent resultant...Ch. 4.9 - Replace the distributed loading with an equivalent...Ch. 4.9 - Replace the loading by an equivalent resultant...Ch. 4.9 - Currently eighty-five percent of all neck injuries...Ch. 4.9 - Replace the distributed loading by an equivalent...Ch. 4.9 - Replace this loading by an equivalent resultant...Ch. 4.9 - The distribution of soil loading on the bottom of...Ch. 4.9 - Replace the loading by an equivalent resultant...Ch. 4.9 - Replace the distributed loading by an equivalent...Ch. 4.9 - Determine the length b of the triangular load and...Ch. 4.9 - The form is used to cast a concrete wall having a...Ch. 4.9 - Prob. 149PCh. 4.9 - Replace the loading by an equivalent force and...Ch. 4.9 - Prob. 151PCh. 4.9 - Replace the loading by an equivalent resultant...Ch. 4.9 - Replace the leading by a single resultant force,...Ch. 4.9 - Replace the distributed loading by an equivalent...Ch. 4.9 - Prob. 155PCh. 4.9 - Determine the length b of the triangular load and...Ch. 4.9 - Determine the equivalent resultant force and...Ch. 4.9 - Determine the magnitude of the equivalent...Ch. 4.9 - The distributed load acts on the shaft as shown....Ch. 4.9 - Replace the distributed loading with an equivalent...Ch. 4.9 - Prob. 161PCh. 4.9 - Wet concrete exerts a pressure distribution along...Ch. 4.9 - and mass center at G. If the maximum moment that...Ch. 4.9 - R42. Replace the force F having a magnitude of F =...Ch. 4.9 - Determine the moment of this force about the...Ch. 4.9 - Determine the magnitude of the couple forces so...Ch. 4.9 - Prob. 5RPCh. 4.9 - R46. Replace the force system acting on the frame...Ch. 4.9 - Determine the equivalent resultant force and...Ch. 4.9 - R48. Replace the distributed loading by an...
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