Vector Mechanics for Engineers: Statics and Dynamics
11th Edition
ISBN: 9780073398242
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 12.1, Problem 12.53P
Tilting trains, such as the Acela Express that serves the Northeast Corridor in the Northeast United States, are designed to travel safely at high speeds on curved sections of track which were built for slower, conventional trains. As it enters a curve, each car is tilted by hydraulic actuators mounted on its trucks. The tilting feature of the cars also increases passenger comfort by eliminating or greatly reducing the side force Fs (parallel to the floor of the car) to which passengers feel subjected. For a train traveling at 100 mi/h on a curved section of track banked through an angle θ = 6° and with a rated speed of 60 mi/h, determine (a) the magnitude of the side force felt by a passenger of weight W in a standard car with no tilt (ϕ = 0), (b) the required angle of tilt ϕ if the passenger is to feel no side force. (See Sample Prob. 12.7 for the definition of rated speed.)
Fig. P12.53 and P12.54
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Answer the following problem:
Figure 2
G
0.75 m
2 m
1.5 m
Figure 2 shows a 2000 kg lorry with a center of mass at G. Starting from rest, the lorry achieves
a speed of 15 m/s under a constant acceleration after it has traveled 100 m. The front wheels are
free to roll.
Q8.
What is the normal force of the wheels at A and B? (↑)
(A) NA = 10.7 kN (B) NẠ=8.89 kN (C) NA= 8.89 kN (D) NA=10.7 kN
Ng = 8,89 kN
Ng = 10.7 kN
Ng = 8,89 kN
Ng = 10.7 kN
Q11. Eccentric impact occurs when the line connecting the mass centers of the two bodies
with the line of impact.
(A)
coincide
(В)
does not coincide
(С)
is parallel
(D) is perpendicular
Q12. Which of the following is not a conservative force?
(A) Gravitational force
(B) Elastic force
(C)
Frictional force
(D)
None of the above
PRACTICE PROBLEM 8.2
two minecarts are connected as shown below. Friction
is negligible.
Assume that x1 & x2 is the displacement of the mass of
the first cart and the mass of the second cart from
their starting positions respectively.
KI
m,
www m₂
If you know that:
Both minecarts have a mass = 2 kilograms
Spring constant (kl)=72N/m
Spring constant (k2)=108N/m
Spring constant (k3)=72N/m
Differential eq:
ď = [ 3
x
K3
www
Make a second order differential equations system that
models the situation and find the general solution to
the system you make.
General solution:
[x₁(t)
[2²2(b)] = [-] (a₁ cos (-) + b₁ sin (-)) + [-] (0₂0
[x₂(t)
(a2 cos (-) + b₂ sin (-))
Chapter 12 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
Ch. 12.1 - A 1000-lb boulder B is resting on a 200-lb...Ch. 12.1 - Marble A is placed in a hollow tube, and the tube...Ch. 12.1 - The two systems shown start from rest. On the...Ch. 12.1 - Blocks A and B are released from rest in the...Ch. 12.1 - People sit on a Ferris wheel at points A, B, C,...Ch. 12.1 - Crate A is gently placed with zero initial...Ch. 12.1 - Two blocks weighing WA and WB are at rest on a...Ch. 12.1 - Objects A, B, and C have masses mA, mB, and mC,...Ch. 12.1 - Prob. 12.4FBPCh. 12.1 - Blocks A and B have masses mA and mB,...
Ch. 12.1 - A pilot of mass m flies a jet in a half-vertical...Ch. 12.1 - Wires AC and BC are attached to a sphere that...Ch. 12.1 - A collar of mass m is attached to a spring and...Ch. 12.1 - Prob. 12.9FBPCh. 12.1 - At the instant shown, the length of the boom AB is...Ch. 12.1 - Disk A rotates in a horizontal plane about a...Ch. 12.1 - Pin B has a mass m and slides along the slot in...Ch. 12.1 - Prob. 12.1PCh. 12.1 - Prob. 12.2PCh. 12.1 - Prob. 12.3PCh. 12.1 - Prob. 12.4PCh. 12.1 - Prob. 12.5PCh. 12.1 - Prob. 12.6PCh. 12.1 - A tugboat pulls a small barge through a harbor....Ch. 12.1 - Prob. 12.8PCh. 12.1 - 12.9 If an automobile’s braking distance from 90...Ch. 12.1 - Prob. 12.10PCh. 12.1 - The coefficients of friction between the load and...Ch. 12.1 - A light train made up of two cars is traveling at...Ch. 12.1 - Prob. 12.13PCh. 12.1 - Prob. 12.14PCh. 12.1 - Prob. 12.15PCh. 12.1 - Prob. 12.16PCh. 12.1 - A 5000-lb truck is being used to lift a 1000-lb...Ch. 12.1 - Block A has a mass of 40 kg, and block B has a...Ch. 12.1 - Block A has a mass of 40 kg, and block B has a...Ch. 12.1 - The flat-bed trailer carries two 1500-kg beams...Ch. 12.1 - 12.21 A baggage conveyor is used to unload luggage...Ch. 12.1 - To unload a bound stack of plywood from a truck,...Ch. 12.1 - To transport a series of bundles of shingles A to...Ch. 12.1 - An airplane has a mass of 25 Mg and its engines...Ch. 12.1 - Prob. 12.25PCh. 12.1 - A constant force P is applied to a piston and rod...Ch. 12.1 - A spring AB of constant k is attached to a support...Ch. 12.1 - Block A has a mass of 10 kg, and blocks B and C...Ch. 12.1 - Prob. 12.29PCh. 12.1 - Prob. 12.30PCh. 12.1 - A 10-lb block B rests as shown on a 20-lb bracket...Ch. 12.1 - Knowing that k = 0.30, determine the acceleration...Ch. 12.1 - Knowing that k = 0.30, determine the acceleration...Ch. 12.1 - Prob. 12.34PCh. 12.1 - Block B of mass 10 kg rests as shown on the upper...Ch. 12.1 - Prob. 12.36PCh. 12.1 - Prob. 12.37PCh. 12.1 - Human centrifuges are often used to simulate...Ch. 12.1 - A single wire ACB passes through a ring at C...Ch. 12.1 - Prob. 12.41PCh. 12.1 - Prob. 12.42PCh. 12.1 - Prob. 12.43PCh. 12.1 - Prob. 12.44PCh. 12.1 - During a high-speed chase, a 2400-lb sports car...Ch. 12.1 - An airline pilot climbs to a new flight level...Ch. 12.1 - The roller-coaster track shown is contained in a...Ch. 12.1 - A spherical-cap governor is fixed to a vertical...Ch. 12.1 - A series of small packages, each with a mass of...Ch. 12.1 - 12.50 A 54-kg pilot flies a jet trainer in a...Ch. 12.1 - Prob. 12.51PCh. 12.1 - A curve in a speed track has a radius of 1000 ft...Ch. 12.1 - Tilting trains, such as the Acela Express that...Ch. 12.1 - Prob. 12.54PCh. 12.1 - A 3-kg block is at rest relative to a parabolic...Ch. 12.1 - Prob. 12.56PCh. 12.1 - A turntable A is built into a stage for use in a...Ch. 12.1 - The carnival ride from Prob. 12.51 is modified so...Ch. 12.1 - Prob. 12.59PCh. 12.1 - Prob. 12.60PCh. 12.1 - A small block B fits inside a slot cut in arm OA...Ch. 12.1 - The parallel-link mechanism ABCD is used to...Ch. 12.1 - Prob. 12.63PCh. 12.1 - A small 250-g collar C can slide on a semicircular...Ch. 12.1 - A small 250-g collar C can slide on a semicircular...Ch. 12.1 - An advanced spatial disorientation trainer is...Ch. 12.1 - The 3-kg collar B slides on the frictionless arm...Ch. 12.1 - A 0.5-kg block B slides without friction inside a...Ch. 12.1 - Pin B weighs 4 oz and is free to slide in a...Ch. 12.1 - Prob. 12.71PCh. 12.1 - Prob. 12.72PCh. 12.2 - A particle of mass m is projected from point A...Ch. 12.2 - A particle of mass m is projected from point A...Ch. 12.2 - Determine the mass of the earth knowing that the...Ch. 12.2 - Show that the radius r of the moons orbit can be...Ch. 12.2 - Communication satellites are placed in a...Ch. 12.2 - Prob. 12.81PCh. 12.2 - The orbit of the planet Venus is nearly circular...Ch. 12.2 - A satellite is placed into a circular orbit about...Ch. 12.2 - The periodic time (see Prob. 12.83) of an earth...Ch. 12.2 - A 500-kg spacecraft first is placed into a...Ch. 12.2 - A space vehicle is in a circular orbit of 2200-km...Ch. 12.2 - Prob. 12.87PCh. 12.2 - Prob. 12.88PCh. 12.2 - Prob. 12.89PCh. 12.2 - A 1-kg collar can slide on a horizontal rod that...Ch. 12.2 - Two 2.6-lb collars A and B can slide without...Ch. 12.2 - A small ball swings in a horizontal circle at the...Ch. 12.3 - A uniform crate C with mass mC is being...Ch. 12.3 - A uniform crate C with mass m is being transported...Ch. 12.3 - Prob. 12.94PCh. 12.3 - Prob. 12.95PCh. 12.3 - A particle with a mass m describes the path...Ch. 12.3 - A particle of mass m describes the parabola y =...Ch. 12.3 - Prob. 12.98PCh. 12.3 - Prob. 12.99PCh. 12.3 - Prob. 12.100PCh. 12.3 - Prob. 12.101PCh. 12.3 - A satellite describes an elliptic orbit about a...Ch. 12.3 - Prob. 12.103PCh. 12.3 - Prob. 12.104PCh. 12.3 - Prob. 12.105PCh. 12.3 - Halleys comet travels in an elongated elliptic...Ch. 12.3 - Prob. 12.109PCh. 12.3 - A space probe is to be placed in a circular orbit...Ch. 12.3 - The Clementine spacecraft described an elliptic...Ch. 12.3 - A space probe is describing a circular orbit of...Ch. 12.3 - Prob. 12.115PCh. 12.3 - A space shuttle is describing a circular orbit at...Ch. 12.3 - Prob. 12.117PCh. 12.3 - A satellite describes an elliptic orbit about a...Ch. 12.3 - Prob. 12.119PCh. 12.3 - Prob. 12.120PCh. 12.3 - Show that the angular momentum per unit mass h of...Ch. 12 - In the braking test of a sports car, its velocity...Ch. 12 - A bucket is attached to a rope of length L = 1.2 m...Ch. 12 - A 500-lb crate B is suspended from a cable...Ch. 12 - The parasailing system shown uses a winch to pull...Ch. 12 - Prob. 12.128RPCh. 12 - Telemetry technology is used to quantify kinematic...Ch. 12 - The radius of the orbit of a moon of a given...Ch. 12 - Prob. 12.131RPCh. 12 - Prob. 12.132RPCh. 12 - Disk A rotates in a horizontal plane about a...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
6–1C A mechanic claims to have developed a car engine that runs on water instead of gasoline. What is your resp...
Thermodynamics: An Engineering Approach
What types of coolant are used in vehicles?
Automotive Technology: Principles, Diagnosis, and Service (5th Edition)
What types of polymers are most commonly blow molded?
Degarmo's Materials And Processes In Manufacturing
Assume the following vectors are already defined: V1=[302]V2=[214]V3=[5131]V4=[0.50.10.20.2] For each of the fo...
Thinking Like an Engineer: An Active Learning Approach (4th Edition)
Consider a subsonic compressible flow in cartesian coordinates where the velocity potential is given by (x,y)=V...
Fundamentals of Aerodynamics
What is the importance of modeling in engineering? How are the mathematical models for engineering processes pr...
Heat and Mass Transfer: Fundamentals and Applications
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
- Clutch Mechanism 8. In the clutch mechanism shown, two flat circular disks of radius R are mounted so that they can be brought into contact causing a net frictional force. The contact pressure in general depends on the distance from the center and in one specific case may be modeled buy P(r) = Poe-kr, where k is a constant and r is the distance from the center of the discs. The integral cR F = 2m " P(r)rdr gives the total contact force between the discs. Cross-section a. In your own words explain where this formula comes from.arrow_forwardQ2. In a spring loaded governor of the Hartnell type, the mass of each ball is 5 kg and the lift of the sleeve is 50 mm. The speed at which the governor begins to float is 240 rpm, and at this speed the radius of the ball path is 110 mm. The mean working speed of the governor is 20 times the range of speed when friction is neglected. If the lengths of ball and roller arm of the bell crank lever are 120 mm and 100 mm respectively. If the distance between the center of pivot of bell crank lever and axis of governor spindle is 140 mm, determine the initial compression of the spring. If friction is equivalent to a force of 3O N at the .sleevearrow_forwardB r P F A UBC Engineering Your team is prototyping a simple braking system for your model car. The 3.4 kg wheel with a radius of r = rad 0.15 m is rotating at w = 18 - .A servo motor can apply a variable force F, which in its first two seconds of operation is equal to F = 10t N and afterwards is equivalent to a constant force of F = 20 N . If the coefficient of kinetic friction between the braking arm and the wheel is μ= 0.2, determine the time needed for the wheel to come to a full stop. The point of contact P between the wheel and the arm is a distance r = -0.2 + 0.26 ĵ m from point A. The force of the servo motor is applied at exactly half of the horizontal distance to A from the point of contact. Assume the wheel can be treated as a disk and that the braking arm is massless. t =arrow_forward
- : Tom is interviewing for a new job – a test driver. He was asked to determine whether a vehicle built to test the effects of Problem 1 high accelerations on people is safe. The car moving at a speed of 20 m/s runs into a piston that compresses the air in a cylinder and stops the car in 0.30 m. The 70-kg passenger stops in the same distance due to the force of shoulder straps and seat belts on her body. Draw free-body diagram for the passenger when he is slowing down to a stop inside a car. Assume that the force of the shoulder straps and seat belt is horizontal. Do not forget to draw acceleration vector as well. Choosing the passenger as your system and applying energy conservation law, find the work that the force of shoulder straps b. and seat belts did on his body in this process. C. Now that you have determined the work in the previous part, determine the magnitude of the average force of these restraints on the person during the stop.arrow_forwardFor the delivery truck shown: The mass of the truck is 4000 kg. The horizontal distance from the rear tires to the center of mass, G, is L1 = 3 m The vertical distance from the ground to G is d = 3m The horizontal distance from the rear tires to the front tires is L2 = 5 m. d The delivery truck is traveling at 20 m/s when the brakes are applied. The truck skids to a stop, so that the friction force is applied to the tires by the road.* The coefficient dynamic friction is uk = 0.60 *If it did not skid, then the friction force would be between the brake pads and the brake disc, which would be above the road. Calculate the distance that the truck travels before it stops. Use Σ MA = Ia + d x m*a for the following: 'O' Calculate the left side of this equation: Σ MA G L1 → L2 Calculate the right side of this equation: I*α + d x m*a d+ x m*a is from r x m*a (cross product), so, determine the sign by considering the cross product. Set the left and right right sides equal to each other and…arrow_forwardParvinbhaiarrow_forward
- How fast was the car moving the moment the driver removed their foot from the pedal?arrow_forwardThe 20-lb crate A rests on the surface. The coefficients of static and kinetic friction between the crate A and the surface are ?? = 0.15, ?? = 0.1. Determine the speed of crate A at t = 2 s if P = (?2 + 1.5?) lb where t is in seconds, using the method of Linear Impact and Momentum. Hint: first determine the moment when the crate starts to move.arrow_forwardThe lower block of mass m2 = 3.2 kg is pulled on by a rope with a tension force of 28 N. The upper block has mass m1 = 1.8 kg. The coefficient of kinetic friction between the lower block and the surface is 0.32. The coefficient of kinetic friction between the lower block and the upper block is also 0.32. What is the acceleration of the 3.2 kg block?arrow_forward
- Two blocks of the same mass, m, are connected by a light string and rest on the slope and in the air, respectively (0<8<90). The friction force on the mass siting on the slope will be 0 zero upward along the incline the same magnitude with the tension in the string downward along the incline E none of abovearrow_forwardFor a technology project, a student has built a vehicle, of total mass 6.00 kg, that moves itself. As shown, it runs on four light wheels. A reel is attached to one of the axles, and a cord originally wound on the reel goes up over a pulley attached to the vehicle to support an elevated load. After the vehicle is released from rest, the load descends very slowly, unwinding the cord to turn the axle and make the vehicle move forward (to the left as shown). Friction is negligible in the pulley and axle bearings. The wheels do not slip on the floor. The reel has been constructed with a conical shape so that the load descends at a constant low speed while the vehicle moves horizontally across the floor with constant acceleration, reaching a final velocity of 3.00î m/s. (a) Does the floor impart impulse to the vehicle? If so, how much? (b) Does the floor do work on the vehicle? If so, how much? (c) Does it make sense to say that the final momentum of the vehicle came from the floor? If…arrow_forwardQ.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 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
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY