Vector Mechanics for Engineers: Statics, 11th Edition
11th Edition
ISBN: 9780077687304
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4.3, Problem 4.132P
PROBLEM 4.132
The uniform 10kg rod AB is supported by a ball-and-socket joint at A and by the cord CG that is attached to the midpoint G of the rod. Knowing that the rod leans against a frictionless vertical wall at B, determine (a) the tension in the cord, (b) the reactions at A and B.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
handwritten solutions, please!!
> Homework 4 - Spring 2025.pdf
Spring 2025.pdf
k 4 - Spring 2025.pdf (447 KB)
Due: Thursday, February 27
Page
1
> of 2
ZOOM
1. A simply supported shaft is shown in Figure 1 with wo = 25 N/cm and M = 20 N cm. Use
singularity functions to determine the reactions at the supports. Assume EI = 1000 kN cm².
M
Wo
0 10 20 30 40 50 60 70
80 90
100 110 cm
Figure 1 - Problem 1
2. A support hook was formed from a rectangular bar. Find the stresses at the inner and outer
surfaces at sections just above and just below O-B.
210 mm
A distillation column with a total condenser and a partial reboiler is separating ethanol andwater at 1.0 atm. Feed is 0.32 mol fraction ethanol and it enters as a saturated liquid at 100mol/s on the optimum plate. The distillate product is a saturated liquid with 80 mol% ethanol.The condenser removes 5615 kW. The bottoms product is 0.05 mol fraction ethanol. AssumeCMO is valid.(a) Find the number of equilibrium stages for this separation. [6 + PR](b) Find how much larger the actual reflux ratio, R, used is than Rmin, i.e. R/Rmin. [3]Note: the heats of vaporization of ethanol and water are λe = 38.58 and λw = 40.645
Chapter 4 Solutions
Vector Mechanics for Engineers: Statics, 11th Edition
Ch. 4.1 - Two crates, each of mass 350 kg, are placed as...Ch. 4.1 - A lever AB is hinged at C and attached to a...Ch. 4.1 - A light rod AD is supported by frictionless pegs...Ch. 4.1 - A tension of 20 N is maintained in a tape as it...Ch. 4.1 - A gardener uses a 60 N wheelbarrow to transport a...Ch. 4.1 - The gardener of Prob. 4.1 wishes to transport a...Ch. 4.1 - A 2100-lb tractor is used to lift 900 lb of grave....Ch. 4.1 - For the beam and loading shown, determine (a) the...Ch. 4.1 - A load of lumber of weight W = 25 kN is being...Ch. 4.1 - A load of lumber of weight W = 25 kN is being...
Ch. 4.1 - 4.7 A T-shaped bracket supports the four loads...Ch. 4.1 - 4.8 For the bracket and loading of Prob. 4.7,...Ch. 4.1 - Three loads are applied as shown to a light beam...Ch. 4.1 - 4.10 Three loads are applied as shown to a light...Ch. 4.1 - 4.11 For the beam of Prob. 4.10, determine the...Ch. 4.1 - For the beam of Sample Prob. 4.2, determine the...Ch. 4.1 - The maximum allowable value of each of the...Ch. 4.1 - For the beam and loading shown, determine the...Ch. 4.1 - Prob. 4.15PCh. 4.1 - Prob. 4.16PCh. 4.1 - Prob. 4.17PCh. 4.1 - Prob. 4.18PCh. 4.1 - The bracket BCD is hinged at C and attached to a...Ch. 4.1 - The ladder AB, of length L and weight W, can be...Ch. 4.1 - 4.21 The 40-ft boom AB weighs 2 kips; the distance...Ch. 4.1 - A lever AB is hinged at C and attached to a...Ch. 4.1 - 4.23 and 4.24 For each of the plates and loadings...Ch. 4.1 - 4.23 and 4.24 For each of the plates and loadings...Ch. 4.1 - A rod AB, hinged at A and attached at B to cable...Ch. 4.1 - Fig. P4.25 and P4.26 4.26 A rod AB, hinged at A...Ch. 4.1 - Prob. 4.27PCh. 4.1 - Determine the reactions at A and C when (a) = 0,...Ch. 4.1 - Prob. 4.29PCh. 4.1 - Prob. 4.30PCh. 4.1 - Neglecting friction, determine the tension in...Ch. 4.1 - Fig. P4.31 and P4.32 4.32 Neglecting friction,...Ch. 4.1 - PROBLEM 4.33 A force P of magnitude 90 lb is...Ch. 4.1 - PROBLEM 4.34 Solve Problem 4,33 for a = 6 in,...Ch. 4.1 - Bar AC supports two 400-N loads as shown. Rollers...Ch. 4.1 - PROBLEM 4.36 A light bar AD is suspended from a...Ch. 4.1 - Prob. 4.37PCh. 4.1 - Prob. 4.38PCh. 4.1 - Prob. 4.39PCh. 4.1 - 4.40 A light bar AB supports a 15-kg block at its...Ch. 4.1 - 4.41 Two slots have been cut in plate DEF, and the...Ch. 4.1 - Prob. 4.42PCh. 4.1 - The rig shown consists of a 1200-lb horizontal...Ch. 4.1 - Fig. P4.43 4.44 For the rig and crate of Prob....Ch. 4.1 - A 175-kg utility pole is used to support at C the...Ch. 4.1 - Knowing that the tension in wire BD is 1300 N,...Ch. 4.1 - Fig. P4.46 and P4.47 4.47 Determine the range of...Ch. 4.1 - Beam AD carries the two 40-lb loads shown. The...Ch. 4.1 - Fig. P4.48 and P4.49 4.49 For the beam and loading...Ch. 4.1 - Prob. 4.50PCh. 4.1 - A uniform rod AB with a length of l and weight of...Ch. 4.1 - Rod AD is acted upon by a vertical force P at end...Ch. 4.1 - A slender rod AB with a weigh of W is attached to...Ch. 4.1 - 4.54 and 4.55 A vertical load P is applied at end...Ch. 4.1 - 4.54 and 4.55 A vertical load P is applied at end...Ch. 4.1 - A collar B with a weight of W can move freely...Ch. 4.1 - A 400-lb weight is attached at A to the lever...Ch. 4.1 - Prob. 4.58PCh. 4.1 - Eight identical 500 750-mm rectangular plates,...Ch. 4.1 - Prob. 4.60PCh. 4.2 - A 500-lb cylindrical tank, 8 ft in diameter, is to...Ch. 4.2 - 4.62.Determine the reactions at A and B when a =...Ch. 4.2 - Prob. 4.63PCh. 4.2 - Prob. 4.64PCh. 4.2 - Determine the reactions at B and C when a = 30 mm.Ch. 4.2 - Prob. 4.66PCh. 4.2 - Determine the reactions at B and D when b = 60 mm....Ch. 4.2 - For the frame and loading shown, determine the...Ch. 4.2 - A 50-kg crate is attached to the trolley-beam...Ch. 4.2 - One end of rod AB rests in the corner A and the...Ch. 4.2 - For the boom and loading shown, determine (a) the...Ch. 4.2 - Prob. 4.72PCh. 4.2 - Prob. 4.73PCh. 4.2 - Prob. 4.74PCh. 4.2 - Rod AB is supported by a pin and bracket at A and...Ch. 4.2 - Solve Prob. 4.75, assuming that the 170-N force...Ch. 4.2 - Prob. 4.77PCh. 4.2 - Using the method of Sec. 4.2B, solve Prob. 4.22....Ch. 4.2 - Knowing that = 30, determine the reaction (a) at...Ch. 4.2 - Prob. 4.80PCh. 4.2 - Determine the reactions at A and B when = 50....Ch. 4.2 - Determine the reactions at A and B when = 80.Ch. 4.2 - Rod AB is bent into the shape of an arc of circle...Ch. 4.2 - A slender rod of length L is attached to collars...Ch. 4.2 - Prob. 4.85PCh. 4.2 - Prob. 4.86PCh. 4.2 - A slender rod BC with a length of L and weight W...Ch. 4.2 - A thin ring with a mass of 2 kg and radius r = 140...Ch. 4.2 - Prob. 4.89PCh. 4.2 - Prob. 4.90PCh. 4.3 - Two tape spools are attached to an axle supported...Ch. 4.3 - A 12-m pole supports a horizontal cable CD and is...Ch. 4.3 - A 20-kg cover for a roof opening is hinged at...Ch. 4.3 - END-OF-SECTION PROBLEMS 4.91 Two transmission...Ch. 4.3 - Solve Prob. 4.91, assuming that the pulley rotates...Ch. 4.3 - A small winch is used to raise a 120-lb load. Find...Ch. 4.3 - 4.94 A 4 × 8-ft sheet of plywood weighing 34 lb...Ch. 4.3 - A 250 400-mm plate of mass 12 kg and a...Ch. 4.3 - Solve Prob. 4.95 for = 60. 4.95 A 250 400-mm...Ch. 4.3 - 4.97 The 20 × 20-in. square plate shown weighs 56...Ch. 4.3 - 4.98 The 20 × 20-in. square plate shows weighs 56...Ch. 4.3 - An opening in a floor is covered by a 1 1.2-m...Ch. 4.3 - PROBLEM 4.100 Solve Problem 4.99, assuming that...Ch. 4.3 - PROBLEM 4.101 Two steel pipes AB and BC, each...Ch. 4.3 - PROBLEM 4.102 For the pipe assembly of Problem...Ch. 4.3 - PROBLEM 4.103 The 24-lb square plate shown is...Ch. 4.3 - PROBLEM 4.104 The table shown weighs 30 lb and has...Ch. 4.3 - PROBLEM 4.105 A 10-ft boom is acted upon by the...Ch. 4.3 - PROBLEM 4.106 The 6-m pole ABC is acted upon by a...Ch. 4.3 - PROBLEM 4.107 Solve Problem 4.106 for a = 1.5 m....Ch. 4.3 - Prob. 4.108PCh. 4.3 - Prob. 4.109PCh. 4.3 - Prob. 4.110PCh. 4.3 - PROBLEM 4.111 A 48-in. boom is held by a...Ch. 4.3 - PROBLEM 4.112 Solve Problem 4.111, assuming that...Ch. 4.3 - PROBLEM 4.114 The bent rod ABEF is supported by...Ch. 4.3 - Prob. 4.114PCh. 4.3 - The horizontal platform ABCD weighs 60 lb and...Ch. 4.3 - PROBLEM 4.116 The lid of a roof scuttle weighs 75...Ch. 4.3 - PROBLEM 4.117 A 100-kg uniform rectangular plate...Ch. 4.3 - Solve Prob. 4.117, assuming that cable DCE is...Ch. 4.3 - PROBLEM 4.119 Solve Prob. 4.113, assuming that the...Ch. 4.3 - PROBLEM 4.120 Solve Prob. 4.115, assuming that the...Ch. 4.3 - PROBLEM 4.121 The assembly shown is used to...Ch. 4.3 - PROBLEM 4.122 The assembly shown is welded to...Ch. 4.3 - 4.123 The rigid L-shaped member ABC is supported...Ch. 4.3 - Prob. 4.124PCh. 4.3 - The rigid L-shaped member ABF is supported by a...Ch. 4.3 - Solve Prob. 4.125, assuming that the load at C has...Ch. 4.3 - Three rods are welded together to form a corner...Ch. 4.3 - Prob. 4.128PCh. 4.3 - Frame ABCD is supported by a ball-and-socket joint...Ch. 4.3 - Prob. 4.130PCh. 4.3 - Prob. 4.131PCh. 4.3 - PROBLEM 4.132 The uniform 10kg rod AB is supported...Ch. 4.3 - The frame ACD is supported by ball-and-socket...Ch. 4.3 - Solve Prob. 4.133, assuming that cable GBH is...Ch. 4.3 - Prob. 4.135PCh. 4.3 - Prob. 4.136PCh. 4.3 - Prob. 4.137PCh. 4.3 - The pipe ACDE is supported by ball-and-socket...Ch. 4.3 - Solve Prob. 4.138, assuming that wire DF is...Ch. 4.3 - Two 2 4-ft plywood panels, each with a weight of...Ch. 4.3 - Solve Prob. 4.140, subject to the restriction that...Ch. 4 - A 3200-lb forklift truck is used to lift a 1700-lb...Ch. 4 - The lever BCD is hinged at C and attached to a...Ch. 4 - Determine the reactions at A and B when (a) h =0,...Ch. 4 - Neglecting friction and the radius of the pulley,...Ch. 4 - PROBLEM 4.146 Bar AD is attached at A and C to...Ch. 4 - PROBLEM 4.147 A slender rod AB, of weight W, is...Ch. 4 - PROBLEM 4.148 Determine the reactions at A and B...Ch. 4 - For the frame and loading shown, determine the...Ch. 4 - PROBLEM 4.150 A 200-mm lever and a 240-mm-diameter...Ch. 4 - The 45-lb square plate shown is supported by three...Ch. 4 - The rectangular plate shown weighs 75 lb and is...Ch. 4 - A force P is applied to a bent rod ABC, which may...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- We have a feed that is a binary mixture of methanol and water (60.0 mol% methanol) that issent to a system of two flash drums hooked together. The vapor from the first drum is cooled,which partially condenses the vapor, and then is fed to the second flash drum. Both drumsoperate at 1.0 atm and are adiabatic. The feed to the first drum is 1000 kmol/hr. We desire aliquid product from the first drum that is 35.0 mol% methanol. The second drum operates at afraction vaporized of (V/F)2 = 0.25.(a) Find the liquid flow rate leaving the first flash drum, L1 (kmol/hr). [286 kmol/hr](b) Find the vapor composition leaving the second flash drum, y2. [0.85]arrow_forward= The steel curved bar shown has rectangular cross-section with a radial height h = 6 mm and thickness b = 4mm. The radius of the centroidal axis is R = 80 mm. A force P = 10 N is applied as shown. Assume the steel modulus of 207,000 MPa and G = 79.3(103) MPa, repectively. elasticity and shear modulus E = Find the vertical deflection at point B. Use Castigliano's method for a curved flexural member and since R/h > 10, neglect the effect of shear and axial load, thereby assuming that deflection is due to merely the bending moment. Note the inner and outer radii of the curves bar are: r = 80 + ½ (6) = 83 mm, r₁ = 80 − ½ (6) = 77 mm 2 2 Sπ/2 sin² 0 d = √π/² cos² 0 d0 = Π 0 4 大 C R B Parrow_forwardThe steel eyebolt shown in the figure is loaded with a force F = 75 lb. The eyebolt is formed from round wire of diameter d = 0.25 in to a radius R₁ = 0.50 in in the eye and at the shank. Estimate the stresses at the inner and outer surfaces at section A-A. Notice at the section A-A: r₁ = 0.5 in, ro = 0.75 in rc = 0.5 + 0.125 = 0.625 in Ri 200 F FAarrow_forward
- I have the fallowing question and solution from a reeds naval arc book. Im just confused as to where this answer came from and the formulas used. Wondering if i could have this answer/ solution broken down and explained in detail. A ship of 7000 tonne displacement has a waterplane areaof 1500 m2. In passing from sea water into river water of1005 kg/m3 there is an increase in draught of 10 cm. Find the Idensity of the sea water. picture of the "answer" is attachedarrow_forwardProblem A2 long steel tube has a rectangular cross-section with outer dimensions of 20 x 20 mm and a uniform wall thickness of 2. The tube is twisted along its length with torque, T. The tube material is 1045 CD steel with shear yield strength of S,, =315 MPa. Assume shear modulus, G = 79.3GPa. (a) Estimate the maximum torque that can be applied without yielding (b) Estimate the torque required to produce 5 degrees total angle of twist over the length of the tube. (c) What is the maximum torque that can be applied without yielding, if a solid rectangular shaft with dimensions of 20 x 20 is used? You may use the exact solution.arrow_forwardA simply supported beam is loaded as shown. Considering symmetry, the reactions at supports A and B are R₁ = R₂ = wa 2 Using the singularity method, determine the shear force V along the length of the beam as a function of distance x from the support A. A B Ir. 2a За W C R₁₂ x 2. Using the singularity method, determine the bending M along the length of the beam as a function of distance x, from the support A. 3. Using the singularity method, determine the beam slope and deflection along the length of the beam as a function of the distance x, from the support A. Assume the material modulus of elasticity, E and the moment of inertia of the beam cross-section, I are given.arrow_forward
- A steel tube, 2 m long, has a rectangular cross-section with outer dimensions of 20 × 30 mm and a uniform wall thickness of 1 mm. The tube is twisted along its length with torque, T. The tube material is 1018 CD steel with shear yield strength of Ssy =185 MPa. Assume shear modulus, G = 79.3GPa. (a) Estimate the maximum torque that can be applied without yielding.- (b) Estimate the torque required to produce 3 degrees total angle of twist over the length of the tube. (c) What is the maximum torque that can be applied without yielding, if a solid rectangular shaft with dimensions of 20 x 30 mm is used? You may use the exact solution:arrow_forward|The typical cruising altitude of a commercial jet airliner is 10,700 m above sea level where the local atmospheric temperature is 219 K, and the pressure is 0.25 bar. The aircraft utilizes a cold air-standard Brayton cycle as shown with a volume flow rate of 1450 m³/s. The compressor pressure ratio is 50, and the maximum cycle temperature is 1700 K. The compressor and turbine isentropic efficiencies are 90%. Neglect kinetic and potential energy effects in this problem. Assume constant specific heats with k=1.4, Ra=0.287 kJ/kg- K, Cp=1.0045 kJ/kg-K, and cv = 0.7175 kJ/kg-K. a) Draw a T-s diagram for this cycle on the diagram provided. b) Fill in the table below with the missing information. T[K] Heat exchanger Heat exchanger State P [bar] 1 0.25 2s 2 3 4s 4 Turbine c) (5pts) Determine the inlet air density in [kg/m³] (at state 1), and the system mass flowrate in [kg/s]. d) (10pts) Determine the net power developed in [MW]. Be sure to draw each component you are analyzing, define the…arrow_forwardOn the axis provide, draw a corresponding T-s diagram for the Brayton cycle shown given the following information: iv. V. vi. Compressor 1 is reversible, but Compressor 2 and the turbine are irreversible. The pressure drops through the regenerator are combustors are negligible. The pressures at state (1) and state (10) are equal to the atmospheric pressure. T 8 Regenerator fmm mmm Qin Combustor Compressor Compressor Turbine W cycle Intercooler mm Courarrow_forward
- For parts a) through e), consider the two power cycles shown in the diagram at the right, Cycle A: 1-2-3-4-1, and Cycle B: 1-2-3-4-1. a) What type of power cycles are shown? b) Which of cycles has a higher efficiency? c) Which of the cycles has a higher work output? d) For either cycle, would increasing the maximum cycle temperature (3) increase or decrease the efficiency? Cycle A: 1-2-3-4-1 3 3 Cycle B: 1-2-3-4-1 1 e) For either cycle, would decreasing the minimum cycle temperature (1) increase or decrease the efficiency? f) On the axis provide, draw a corresponding T-s diagram for the Rankine cycle shown given the following information: i. All turbines and pumps in the system are irreversible. ii. 111. The turbine inlet conditions (states 1 and 2) are superheated, while the 2nd stage turbine outlet is a saturated mixture. The condenser outlet state (4) and the CFWH outlet state (7) are saturated liquid. 2 Steam generator Condenser www Closed feedwater heater (1-y) T Pump Trap 8 (y) Sarrow_forwardProblem 4 A glass sphere with a 30 mm diameter is pressed against a flat carbon steel plate with a force of 5 N. Assume. For glass: E = 46.2 GPa, -0.245 and for steel E, 207 GPa, (a) Determine the radius of the contact surface. -0.292 (4 (b) Determine the maximum pressure at the contact surface. (4 (c) Calculate the principal stresses d., and a, in the glass sphere at the depth=0.037 mm. (d) Maximum shear stress in the glass sphere at the depth: 0.037 mm. (t (4 (e) Draw the Mohr circles for the stresses and show the point corresponding to the maximum shear stress. (3arrow_forwardSteam is the working fluid in the vapor power cycle with reheat shown in the figure. The mass flow rate is 0.5 kg/s, and the turbines and pump operate isentropically. The temperature at the inlet of both turbine stages (i.e. states 1 and 3) is 400 °C The condenser outlet is saturated liquid. 1. Fill in the table below with the missing information. Reheat section High- pressure turbine State P [bar] h [kJ/kg] s [kJ/kg-K] x [-] Steam generator 1 140 Condenser Pump 2 40 5 3 4 4 5 6 2.Draw a T-s diagram for this cycle on the diagram provided 3. Determine the net power output of this cycle in [kW]. Be sure to draw the component(s) you are analyzing, define the system, and apply conservation of energy in the space below. 4.Determine the total heat transferred into the system in [kW]. Be sure to draw the component you are analyzing, define the system, and apply conservation of energy in the space bel 5.Determine the cycle efficiency. Low-pressure turbinearrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
EVERYTHING on Axial Loading Normal Stress in 10 MINUTES - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=jQ-fNqZWrNg;License: Standard YouTube License, CC-BY