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Concept explainers
Two cars A and B race each other down a straight road. The position of each car as a function of time is shown. Which of the following statements are true? (More than one answer can be correct.)
a. At time t2, both cars have traveled the same distance.
b. At time t1, both cars have the same speed.
c. Both cars have the same speed at some time
d. Both cars have the same acceleration at some time
e. Both cars have the same acceleration at some time
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Chapter 11 Solutions
Vector Mechanics For Engineers
- This problem illustrates that the factor of safety for a machine element depends on the particular point selected for analysis. Here you are to compute factors of safety, based upon the distortion-energy theory, for stress elements at A and B of the member shown in the figure. This bar is made of AISI 1006 cold-drawn steel and is loaded by the forces F = 1.100 kN, P = 8.00 kN, and T = 50.00 N·m. Given: Sy = 280 MPa. B -100 mm- 15-mm D. a) What is the value of the axial stress at point A? b)What is the value of the shear stress at point A? c)Determine the value of the Von Mises stress at point A. P Farrow_forwardThe three steel wires, each of cross-sectional area 0.05 in2, support the weight W. Theirunstressed lengths are 74.98 ft, 74.99 ft, and 75.00 ft. Use E = 29 x 106 psi.1. Find the stress (psi) in the longest wire if W = 1500 lb.2. Determine the stress in the shortest wire if W = 500 lb ANSWERS: 6130 psi; 6930 psiarrow_forward1: The concrete column is reinforced using four steel reinforcing rods, each having a diameter of 18 mm. Determine the stress in the concrete and the steel if the column is subjected to an axial load of 800 kN. Est = 200 GPa, Ec = 25 GPa. Complete fbd.arrow_forward
- 5: As shown, two aluminum rods AB and BC, hinged to rigid supports, arepinned together at B to carry a vertical load P = 6000 lb. If each rod has a crosssectional area of 0.60 in2 and E = 10 x 106 psi. Use α = θ = 30⁰. Calculate the change in length (in) of rod AB and indicate if it elongates orshortens. Calculate the vertical displacement of B (in) and horizontal displacement of B (in). Complete fbd.arrow_forward2: The rigid bar supports the uniform distributedload of 6 kip/ft. Determine the force in each cable if each cable has a cross-sectional area of 0.05 in^2 , and E = 31(10)^3 ksi.arrow_forwardIn (Figure 1), take m₁ = 4 kg and mB = 4.6 kg. Determine the z component of the angular momentum Ho of particle A about point O. Determine the z component of the angular momentum Ho of particle B about point O. Suppose that 5 m 8 m/s 4 m 1.5 m 4 m B MB 1 m 2 m 5 30° 6 m/s MAarrow_forward
- The two disks A and B have a mass of 4 kg and 6 kg, respectively. They collide with the initial velocities shown. The coefficient of restitution is e = 0.75. Suppose that (VA)1 = 6 m/s, (VB)₁ = 7 m/s. (Figure 1) Determine the magnitude of the velocity of A just after impact. Determine the angle between the x axis and the velocity of A just after impact, measured clockwise from the negative x axis. Determine the magnitude of the velocity of B just after impact. Determine the angle between the x axis and the velocity of B just after impact, measured clockwise from the positive x axis. (VB)1 B (VA)1 60° Line of impactarrow_forwardA hot plane surface is maintained at 100°C, and it is exposed to air at 25°C.The combined heat transfer coefficient between the surface and the air is 25W/m²·K. (same as above). In this task, you are asked to design fins to cool asurface by attaching 3 cm-long, 0.25 cm-diameter aluminum pin fins (thermalconductivity, k = 237 W/m·K) with a center-to-center distance of 0.6 cm. (Tip:do not correct the length). Determine the rate of heat transfer from thefinned structure to the air for a 1 m x 1 m section of the plate.arrow_forwardHeat is generated uniformly in a 4 cm-diameter, 16-cm long solid bar (k=2.4 W/m-K). The temperaturesat the center and at the surface of the bar are measured to be 210 oC and 45 oC, respectively. Calculatethe rate of heat generation within the bar. Solve the relevant energy balance equation and the boundaryconditions to calculate the rate of heat generation within the bar. (6 pts)arrow_forward
- A hot plane surface is maintained at 100°C, and it is exposed to air at 25°C. The combined heat transfercoefficient between the surface and the air is 25 W/m²·K. You are tasked with designing an insulatingmaterial to cover the surface in order to reduce the heat transfer rate by 90%, meaning only 10% of theheat transfer would occur compared to the situation without insulation. The available insulating materialhas a thermal conductivity of 0.093 W/m·K. Assuming that the heat transfer coefficient and the surface/airtemperatures remain constant, calculate the required thickness of the insulating material in centimeters.arrow_forwardThe euler parameter in the image describes the orientation of N in the reference frame of U. How do I find the euler parameters that describe the orientation of U in the reference frame of N from the given information in the image.arrow_forwardFpull Ө A person, weighing 155 lb, is being lifted by a rope thrown. over a tree branch as shown (drawing not to scale). If the static coefficient of friction between the rope and the tree branch is us = 0.67, and the 0 = 45°. Determine the pulling force required to start lifting the person and the pulling force required to keep the person from falling? Pulling force to lift the person: Pulling force to keep the person from falling: lb lbarrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
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