VECTOR MECH. FOR EGR: STATS & DYNAM (LL
12th Edition
ISBN: 9781260663778
Author: BEER
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 19.1, Problem 19.28P
From
(a)
(b)
Fig. P19.28
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A car skidded off an icy road and became stuck in deep snow at the road shoulder. Another
car, of 1400 kg mass, attempted to jerk the stuck vehicle back onto the road using a 5 m steel
tow cable of stiffness k = 5000 N/mm. The traction available to the rescue car prevented it
from exerting any significant force on the cable. With the aid of a push from bystanders, the
rescue car was able to back against the stuck car and then go forward and reach a speed of 4
km/h at the instant the cable became taut. If the cable is attached rigidly to the masses of the
cars, estimate the maximum impact force that can be developed in the cable, and the resulting
cable elongation. Assume that the steady state force, acting on the rope, is equal to the
weight of the car.
A 1.05-m-long rod of negligible weight is supported at its ends by wires A and B of equal length. The cross-sectional area of A is 1.80 mm^2 and that of B is 4.20 mm^2 . Young's modulus for wire A is 2.30×1011 Pa ; that for B is 1.20×1011 Pa .
At what point along the rod should a weight w be suspended to produce equal stresses in A and B? (d=? m from wire A)
At what point along the rod should a weight w be suspended to produce equal strains in A and B? (d=? m from wire A)
100KN
A force of 100 KN is applied on a column as shown. The
column is made from two materials. [The top one is a
functionally graded material with a linearly varying
modulus and densities. Its length is 2 meter. The density
and elastic modulus of the top material at point A are 2700
А
kg
m3
and 72 Gpa, respectively. The density and modulus of
kg
the top material at point B are 3000 and 100 Gpa. The
m
3
В
kg
bottom material is made from steel (density =7800
and
m2
modulus=200GPA). The length of the bottom material is
1m. The cross-sections of both materials comprising the
column are cylindrical with a diameter of 0.5 m.
C
ID (oijj + bị = 0) and
considering the weight and the applied force determine:
Using equilibrium
while
The stress distribution in both members
Chapter 19 Solutions
VECTOR MECH. FOR EGR: STATS & DYNAM (LL
Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - Prob. 19.3PCh. 19.1 - Prob. 19.4PCh. 19.1 - Prob. 19.5PCh. 19.1 - Prob. 19.6PCh. 19.1 - Prob. 19.7PCh. 19.1 - A simple pendulum consisting of a bob attached to...Ch. 19.1 - Prob. 19.9PCh. 19.1 - Prob. 19.10P
Ch. 19.1 - Prob. 19.11PCh. 19.1 - Prob. 19.12PCh. 19.1 - Prob. 19.13PCh. 19.1 - Prob. 19.14PCh. 19.1 - A 5-kg collar C is released from rest in the...Ch. 19.1 - Prob. 19.16PCh. 19.1 - Prob. 19.17PCh. 19.1 - An 11-lb block is attached to the lower end of a...Ch. 19.1 - Block A has a mass m and is supported by the...Ch. 19.1 - A 13.6-kg block is supported by the spring...Ch. 19.1 - Prob. 19.21PCh. 19.1 - 19.21 and 19.22A 50-kg block is supported by the...Ch. 19.1 - Prob. 19.23PCh. 19.1 - The period of vibration of the system shown is...Ch. 19.1 - Prob. 19.25PCh. 19.1 - Prob. 19.26PCh. 19.1 - From mechanics of materials, it is known that for...Ch. 19.1 - From mechanics of materials it is known that when...Ch. 19.1 - Prob. 19.29PCh. 19.1 - Prob. 19.30PCh. 19.1 - If h = 700 mm and d = 500 mm and each spring has a...Ch. 19.1 - Prob. 19.32PCh. 19.1 - Prob. 19.33PCh. 19.1 - Prob. 19.34PCh. 19.1 - Prob. 19.35PCh. 19.1 - Prob. 19.36PCh. 19.2 - The 9-kg uniform rod AB is attached to springs at...Ch. 19.2 - Prob. 19.38PCh. 19.2 - Prob. 19.39PCh. 19.2 - Prob. 19.40PCh. 19.2 - A 15-lb slender rod AB is riveted to a 12-lb...Ch. 19.2 - A 20-lb uniform cylinder can roll without sliding...Ch. 19.2 - A square plate of mass m is held by eight springs,...Ch. 19.2 - Prob. 19.44PCh. 19.2 - Prob. 19.45PCh. 19.2 - A three-blade wind turbine used for research is...Ch. 19.2 - A connecting rod is supported by a knife-edge at...Ch. 19.2 - A semicircular hole is cut in a uniform square...Ch. 19.2 - A uniform disk of radius r = 250 mm is attached at...Ch. 19.2 - A small collar of mass 1 kg is rigidly attached to...Ch. 19.2 - Prob. 19.51PCh. 19.2 - Prob. 19.52PCh. 19.2 - Prob. 19.53PCh. 19.2 - Prob. 19.54PCh. 19.2 - The 8-kg uniform bar AB is hinged at C and is...Ch. 19.2 - Prob. 19.56PCh. 19.2 - Prob. 19.57PCh. 19.2 - Prob. 19.58PCh. 19.2 - Prob. 19.59PCh. 19.2 - Prob. 19.60PCh. 19.2 - Two uniform rods, each of weight W = 24 lb and...Ch. 19.2 - A homogeneous rod of mass per unit length equal to...Ch. 19.2 - Prob. 19.63PCh. 19.2 - Prob. 19.64PCh. 19.2 - A 60-kg uniform circular plate is welded to two...Ch. 19.2 - Prob. 19.66PCh. 19.2 - Prob. 19.67PCh. 19.2 - The centroidal radius of gyration ky of an...Ch. 19.3 - Two blocks each have a mass 1.5 kg and are...Ch. 19.3 - Prob. 19.70PCh. 19.3 - Prob. 19.71PCh. 19.3 - Prob. 19.72PCh. 19.3 - Prob. 19.73PCh. 19.3 - Prob. 19.74PCh. 19.3 - Prob. 19.75PCh. 19.3 - Prob. 19.76PCh. 19.3 - Prob. 19.77PCh. 19.3 - Blade AB of the experimental wind-turbine...Ch. 19.3 - A 15-lb uniform cylinder can roll without sliding...Ch. 19.3 - Prob. 19.80PCh. 19.3 - Prob. 19.81PCh. 19.3 - Prob. 19.82PCh. 19.3 - Prob. 19.83PCh. 19.3 - Prob. 19.84PCh. 19.3 - A homogeneous rod of weight W and length 2l is...Ch. 19.3 - A 10-lb uniform rod CD is welded at C to a shaft...Ch. 19.3 - Prob. 19.87PCh. 19.3 - Prob. 19.88PCh. 19.3 - Prob. 19.89PCh. 19.3 - Prob. 19.90PCh. 19.3 - Prob. 19.91PCh. 19.3 - Prob. 19.92PCh. 19.3 - Prob. 19.93PCh. 19.3 - A uniform rod of length L is supported by a...Ch. 19.3 - Prob. 19.95PCh. 19.3 - Three collars each have a mass m and are connected...Ch. 19.3 - Prob. 19.97PCh. 19.3 - As a submerged body moves through a fluid, the...Ch. 19.4 - A 4-kg collar can slide on a frictionless...Ch. 19.4 - Prob. 19.100PCh. 19.4 - A collar with mass m that slides on a frictionless...Ch. 19.4 - Prob. 19.102PCh. 19.4 - The 1.2-kg bob of a simple pendulum of length l =...Ch. 19.4 - Prob. 19.104PCh. 19.4 - A precision experiment sits on an optical table...Ch. 19.4 - Prob. 19.106PCh. 19.4 - Prob. 19.107PCh. 19.4 - The crude-oil pumping rig shown is driven at 20...Ch. 19.4 - Prob. 19.109PCh. 19.4 - Prob. 19.110PCh. 19.4 - Prob. 19.111PCh. 19.4 - Rod AB is rigidly attached to the frame of a motor...Ch. 19.4 - Prob. 19.113PCh. 19.4 - Prob. 19.114PCh. 19.4 - A motor of weight 100 lb is supported by four...Ch. 19.4 - Prob. 19.116PCh. 19.4 - Prob. 19.117PCh. 19.4 - Prob. 19.118PCh. 19.4 - Prob. 19.119PCh. 19.4 - One of the tail rotor blades of a helicopter has...Ch. 19.4 - Prob. 19.121PCh. 19.4 - Prob. 19.122PCh. 19.4 - Prob. 19.123PCh. 19.4 - Prob. 19.124PCh. 19.4 - A 60-lb disk is attached with an eccentricity e =...Ch. 19.4 - A small trailer and its load have a total mass of...Ch. 19.5 - Prob. 19.127PCh. 19.5 - Prob. 19.128PCh. 19.5 - Prob. 19.129PCh. 19.5 - Prob. 19.130PCh. 19.5 - Prob. 19.131PCh. 19.5 - Prob. 19.132PCh. 19.5 - Prob. 19.133PCh. 19.5 - Prob. 19.134PCh. 19.5 - Prob. 19.135PCh. 19.5 - Prob. 19.136PCh. 19.5 - Prob. 19.137PCh. 19.5 - Prob. 19.138PCh. 19.5 - A machine element weighing 500 lb is supported by...Ch. 19.5 - Prob. 19.140PCh. 19.5 - Prob. 19.141PCh. 19.5 - Prob. 19.142PCh. 19.5 - Prob. 19.143PCh. 19.5 - A 36-lb motor is bolted to a light horizontal beam...Ch. 19.5 - One of the tail rotor blades of a helicopter has...Ch. 19.5 - Prob. 19.146PCh. 19.5 - Prob. 19.147PCh. 19.5 - Prob. 19.148PCh. 19.5 - Prob. 19.149PCh. 19.5 - Prob. 19.150PCh. 19.5 - The suspension of an automobile can be...Ch. 19.5 - Prob. 19.152PCh. 19.5 - Prob. 19.153PCh. 19.5 - Prob. 19.154PCh. 19.5 - 19.155 and 19.156 Draw the electrical analog of...Ch. 19.5 - Prob. 19.156PCh. 19.5 - 19.157 and 19.158Write the differential equations...Ch. 19.5 - 19.157 and 19.158Write the differential equations...Ch. 19 - An automobile wheel-and-tire assembly of total...Ch. 19 - Prob. 19.160RPCh. 19 - Disks A and B weigh 30 lb and 12 lb, respectively,...Ch. 19 - A small trailer and its load have a total mass of...Ch. 19 - A 0.8-lb ball is connected to a paddle by means of...Ch. 19 - Prob. 19.164RPCh. 19 - A 4-lb uniform rod is supported by a pin at O and...Ch. 19 - Prob. 19.166RPCh. 19 - Prob. 19.167RPCh. 19 - A small ball of mass m attached at the midpoint of...Ch. 19 - Prob. 19.169RPCh. 19 - If either a simple or a compound pendulum is used...
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
- Prob.3: [2.26] The length of 2 mm diameter steel wire CD has been adjusted so that with no load is applied, a gap of 1.5 mm exists between the end B of the rigid beam ACB and a contact point E. Knowing that E = 200 GPa, determine where a 20 kg block should be placed on the beam in order to cause contact between B and E. 0.25 m CO 20 kg В A E 1.5 mm -0.32 m 0.08 marrow_forwardA vibration isolation unit consists of two blocks of hard rubber with a modulus of rigidity G= 19 MPa bonded to a plate AB and to rigid supports as shown. Denoting by P the magnitude of the force applied to the plate and by δ the corresponding deflection, determine the effective spring constant, k 5 P/δ, of the system.arrow_forwardA jet engine is attached to the wing of an airplane by a security screw (Figure A, marked in black) with a diameter of 40 mm whose purpose is to ensure that if, following a malfunction, the engine exerts too great a horizontal force F on the wing - the screw will break and the engine will detach from the wing, thus the wing will remain intact It is known that the weight of the engine is 3000 kg. A. When the engine exerts a force F of 10 kn, what types of stresses act on the screw? B. When the engine exerts a force F of 10 kn, what is the stress acting on the screw according to the Tarska criterion C. What types of deformations exist in the material when the engine applies a force F of [50] KN d. What is the maximum force F that the motor can apply to a screw without the screw breakingarrow_forward
- 5. A car is driving down the road and goes over a speed bump. The car has a solid circular drive shaft that is subjected to a tensile axial force of F = 400 kN, a bending moment of M = 10.0 kN·m, and a torque of T = 18.0 kN·m as a result of the bump. The shaft has a diameter d = 10.0 cm and mechanical properties of E = 200 GPa, v = 0.35 and σ = 200 MPa. a. What and where is the maximum stress? Hint: use the principle of superposition. b. What are the principal stresses and their directions? c. If it is a ductile steel, will the shaft yield? d. If it is a brittle steel, will the shaft fail? F M T Marrow_forwardAluminum L= 3 m A = 500 mm² E = 70 GPa A 3.5 m P B Steel L = 4 m A = 300 mm² E = 200 GPa 2.5 m с # 3A. The rigid bar AB, attached to two vertical rods as shown, is horizontal before the load P is applied. Determine the vertical movement of P if its magnitude is 50 kN. #3B. A steel rod is stretched between two rigid walls and carries a tensile load of 5000 N at 20°C. If the allowable stress is not to exceed 130 MPa at -20°C, what is the minimum diameter of the rod? Assume a=11.7μm/(m-°C) and E=200 GPa.arrow_forwardA circular rod and a 0.1-in.-thick rectangular bar are both made of a plastic material that has an elastic modulus of E = 2.3 GPa and a Poisson’s ratio of ν = 0.33. The rod and the bar are initially the same length L. After a particular load is applied, the 3.6-in.-wide rectangular bar is elongated by some amount ΔL and its width is reduced by 0.096 in. If the 1.3-in. diameter rod is stretched by the same amount ΔL, determine its change in diameter. Expansion is positive, while contraction is negative.arrow_forward
- Stiffness is the property that enables material to withstand high stress without great strain. it is a resistance to any sort of deformation and is a function of the modulus of elasticity, E of the material True or falsearrow_forwardTwo blocks of mass m = 2.00 kg are connected by a vertical string of negligible mass and unknown tension Tm are hanging vertically. The higher one of these two masses is directly attached to another string of negligible mass and unknown tension T that goes over a frictionless pulley of negligible mass and is connected to a third block of mass M = 6.00 kg. The heavier block is free to slide on an incline (of angle 0 = 30.0° w.r.t. the horizontal) with coefficients of kinetic friction of µA = 0.120 and static friction µ,=0.150 between the block and the incline. The system is released from rest. !! M a) Please perform a test to determine which way the system would like to move in the absence of any friction. b) Please perform a test to determine whether the system will be able to overcome the maximum of static friction and be able to move, or remain at rest instead. c) Determine the magnitude of the normal force N exerted on the third block by the incline. d) Determine BOTH the magnitude…arrow_forwardA box with a mass of 3m is on frictionless ground, attached to a wall (on the left-side of the box) by a spring with constant k. Inside the box (on the frictionless floor of the box), is a block of mass m. The block is also attached to the left-side of the box (but inside it), by a second spring, with a spring constant 2k/5.1) What are the F = ma equations for the box and the block? (Remember how the motion of each, affects each other)2) What are the matrices K and M for the system?3) What are the normal frequencies of the system?4) Describe the motion of the masses. In phase? Out of phase? Does one mass oscillate with a higher amplitude than the other?arrow_forward
- 1. The double pulley shown is attached to a 8-mm-radius shaft that fits loosely in a fixed bearing. If the u, = 0.45 and μ = 0.40 and the weight of the pulley is 25 N, (a) determine the magnitude of the force P required to start raising the load, and (b) determine the magnitude of the force P required to start lowering the load a constant speed. 90 mm T 45 mm/ CI 20 kg P FORMULAS: tan = μ; M = Rrsin(p); M = rs =rW tan(+0), 0 = tan 2mº = tan np 2marrow_forwardUnder some circumstances when two parallel springs, with constants k₁ and k2, support a single mass, the effective spring constant of the system is given by k = 4k1k₂/(k₁ + k₂). A mass weighing 20 pounds stretches one spring 4 inches and another spring 2 inches. The springs are attached to a common rigid support and then to a metal plate. As shown in the figure, the mass is attached to the center of the plate in the double-spring arrangement. k₂ II k = 20 lb Determine the effective spring constant of this system. lb/ft Find the equation of motion x(t) if the mass is initially released from the equilibrium position with a downward velocity of 6 ft/s. (Use g for the acceleration due to gravity.) 32 ft/s² x(t) = ftarrow_forward3. A particle of mass m is at rest at the end of the spring (force constant k) hanging from a fixed support. At t=0, a constant downward force F is applied to the mass and acts for a time to. Show that after the force is removed, the displacement of the mass from its equilibrium position (x=xo, where x is down) is F -[cos @, (t-t,)- cos w,t] k x- X, where w = k / m.arrow_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 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
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
Mechanical SPRING DESIGN Strategy and Restrictions in Under 15 Minutes!; Author: Less Boring Lectures;https://www.youtube.com/watch?v=dsWQrzfQt3s;License: Standard Youtube License