Vector Mechanics For Engineers
12th Edition
ISBN: 9781259977305
Author: BEER, Ferdinand P. (ferdinand Pierre), Johnston, E. Russell (elwood Russell), Cornwell, Phillip J., SELF, Brian P.
Publisher: Mcgraw-hill Education,
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 11.2, Problem 11.34P
A minivan is tested for acceleration and braking. In the street-start acceleration test, the elapsed time is 8.2 s for a velocity increase from 10 km/h to 100 km/h. In the braking test, the distance traveled is 44 m during braking to a stop from 100 km/h. Assuming constant values of acceleration and deceleration, determine (a) the acceleration during the street-start test, (b) the deceleration during the braking test.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Human centrifuges are often used to simulate different acceleration levels for pilots. When aerospace physiologists say that a pilot is pulling 9 g,s , they mean that the resultant normal force on the pilot from the bottom of the seat is nine times their weight. Knowing that the centrifuge starts from rest and has a constant angular acceleration of 1.5 RPM per second until the pilot is pulling 9 g's and then continues with a constant angular velocity, determine (a) how long it will take for the pilot to reach 9 g's (b) the angle 0 of the normal force once the pilot reaches 9 g’s. Assume that the force parallel to the seat is zero.
In anticipation of a long 7° upgrade, a bus driver accelerates at a constant rate of 3 ft/s2 while still on a level section of the highway. Knowing that the speed of the bus is 60 mi/h as it begins to climb the grade and that the driver does not change the setting of his throttle or shift gears, determine the distance traveled by the bus up the grade when its speed has decreased to 50 mi/h.
6) A ball is thrown vertically upward from the surface of the earth with an initial velocity of 30 m/s. Two seconds later a second ball is thrown upward from the same point with a velocity of 24 m/s. Derive an expression for the relative position, velocity, and acceleration of ball 1 with-respect-to ball 2 for time t≥2sec. (neglect air resistance and assume acceleration of gravity is 9.81 m/s2.
Chapter 11 Solutions
Vector Mechanics For Engineers
Ch. 11.1 - A bus travels the 100 miles between A and B at 50...Ch. 11.1 - Two cars A and B race each other down a straight...Ch. 11.1 - A snowboarder starts from rest at the top of a...Ch. 11.1 - The motion of a particle is defined by the...Ch. 11.1 - The vertical motion of mass A is defined by the...Ch. 11.1 - A loaded railroad car is rolling at a constant...Ch. 11.1 - A group of hikers uses a GPS while doing a 40-mile...Ch. 11.1 - The motion of a particle is defined by the...Ch. 11.1 - A girl operates a radio-controlled model ear in a...Ch. 11.1 - The motion of a particle is defined by the...
Ch. 11.1 - The brakes of a car are applied, causing it to...Ch. 11.1 - The acceleration of a particle is defined by the...Ch. 11.1 - The acceleration of a particle is defined by the...Ch. 11.1 - Many car companies are performing research on...Ch. 11.1 - A Scotch yoke is a mechanism that transforms the...Ch. 11.1 - For the Scotch yoke mechanism shown, the...Ch. 11.1 - A piece of electronic equipment that is surrounded...Ch. 11.1 - A projectile enters a resisting medium at x=0 with...Ch. 11.1 - Point A oscillates with an acceleration...Ch. 11.1 - A brass (nonmagnetic) block A and a steel magnet B...Ch. 11.1 - Based on experimental observations, the...Ch. 11.1 - A spring AB is attached to a support at A and to a...Ch. 11.1 - The acceleration of a particle is defined by the...Ch. 11.1 - Starting from x=0 with no initial velocity, a...Ch. 11.1 - A ball is dropped from a boat so that it strikes...Ch. 11.1 - The acceleration of a particle is defined by the...Ch. 11.1 - The acceleration of a particle is defined by the...Ch. 11.1 - A human-powered vehicle (HPV) team wants to model...Ch. 11.1 - Experimental data indicate that in a region...Ch. 11.1 - Based on observations, the speed of a jogger can...Ch. 11.1 - The acceleration due to gravity at an altitude y...Ch. 11.1 - The acceleration due to gravity of a particle...Ch. 11.1 - The velocity of a particle is v=v0[1sin(t/T)] ....Ch. 11.1 - An eccentric circular cam, which serves a similar...Ch. 11.2 - An airplane begins its take-off run at A with zero...Ch. 11.2 - A minivan is tested for acceleration and braking....Ch. 11.2 - Steep safety ramps are built beside mountain...Ch. 11.2 - A group of students launches a model rocket in the...Ch. 11.2 - A small package is released from rest at A and...Ch. 11.2 - A sprinter in a 100-m race accelerates uniformly...Ch. 11.2 - Automobile A starts from O and accelerates at the...Ch. 11.2 - In a boat race, boat A is leading boat B by 50 m...Ch. 11.2 - As relay runner A enters the 65-ft-long exchange...Ch. 11.2 - Automobiles A and B are traveling in adjacent...Ch. 11.2 - Two automobiles A and B are approaching each other...Ch. 11.2 - An elevator is moving upward at a constant speed...Ch. 11.2 - Two rockets are launched at a fireworks display....Ch. 11.2 - Car A is parked along the northbound lane of a...Ch. 11.2 - The elevator E shown in the figure moves downward...Ch. 11.2 - The elevator E shown starts from rest and moves...Ch. 11.2 - An athlete pulls handle A to the left with a...Ch. 11.2 - An athlete pulls handle A to the left with a...Ch. 11.2 - In the position shown, collar B moves to the left...Ch. 11.2 - Collar A starts from rest and moves to the right...Ch. 11.2 - A farmer lifts his hay bales into the top loft of...Ch. 11.2 - The motor M reels in the cable at a constant rate...Ch. 11.2 - Collar A starts from rest at t=0 and moves upward...Ch. 11.2 - Collars A and B start from rest, and collar A...Ch. 11.2 - Block B starts from rest, block A moves with a...Ch. 11.2 - Block B moves downward with a constant velocity of...Ch. 11.2 - The system shown starts from rest, and each...Ch. 11.2 - The system shown starts from rest, and the length...Ch. 11.3 - A particle moves in a straight line with a...Ch. 11.3 - A particle moves in a straight line with a...Ch. 11.3 - A particle moves in a straight line with the...Ch. 11.3 - Prob. 11.64PCh. 11.3 - Prob. 11.65PCh. 11.3 - A parachutist is in free fall at a rate of 200...Ch. 11.3 - A commuter train traveling at 40 mi/h is 3 mi from...Ch. 11.3 - Prob. 11.68PCh. 11.3 - In a water-tank test involving the launching of a...Ch. 11.3 - Prob. 11.70PCh. 11.3 - Prob. 11.71PCh. 11.3 - A car and a truck are both traveling at the...Ch. 11.3 - Solve Prob. 11.72, assuming that the driver of the...Ch. 11.3 - Car A is traveling on a highway at a constant...Ch. 11.3 - An elevator starts from rest and moves upward,...Ch. 11.3 - Car A is traveling at 40 mi/h when it enters a 30...Ch. 11.3 - An accelerometer record for the motion of a given...Ch. 11.3 - Prob. 11.78PCh. 11.3 - An airport shuttle train travels between two...Ch. 11.3 - Prob. 11.80PCh. 11.3 - Prob. 11.81PCh. 11.3 - The acceleration record shown was obtained during...Ch. 11.3 - A training airplane has a velocity of 126 ft/s...Ch. 11.3 - Shown in the figure is a portion of the...Ch. 11.3 - An elevator starts from rest and rises 40 m to its...Ch. 11.3 - Prob. 11.86PCh. 11.3 - Prob. 11.87PCh. 11.3 - Prob. 11.88PCh. 11.4 - Two model rockets are fired simultaneously from a...Ch. 11.4 - Ball A is thrown straight up. Which of the...Ch. 11.4 - Ball A is thrown straight up with an initial speed...Ch. 11.4 - Two cars are approaching an intersection at...Ch. 11.4 - Blocks A and B are released from rest in the...Ch. 11.4 - A ball is thrown so that the motion is defined by...Ch. 11.4 - The motion of a vibrating particle is defined by...Ch. 11.4 - The motion of a particle is defined by the...Ch. 11.4 - The motion of a particle is defined by the...Ch. 11.4 - Engineers are examining how shock absorber designs...Ch. 11.4 - A girl operates a radio-controlled model car in a...Ch. 11.4 - The three-dimensional motion of a particle is...Ch. 11.4 - Prob. 11.96PCh. 11.4 - An airplane used to drop water on brushfires is...Ch. 11.4 - A ski jumper starts with a horizontal take-off...Ch. 11.4 - A baseball pitching machine "throws" baseballs...Ch. 11.4 - While delivering newspapers, a girl throws a...Ch. 11.4 - A pump is located near the edge of the horizontal...Ch. 11.4 - In slow pitch softball, the underhand pitch must...Ch. 11.4 - A volleyball player serves the ball with an...Ch. 11.4 - A golfer hits a golf ball with an initial velocity...Ch. 11.4 - A homeowner uses a snowblower to clear his...Ch. 11.4 - At halftime of a football game, souvenir balls are...Ch. 11.4 - A basketball player shoots when she is 16 ft from...Ch. 11.4 - A tennis player serves the ball at a height h=2.5...Ch. 11.4 - The nozzle at A discharges cooling water with an...Ch. 11.4 - While holding one of its ends, a worker lobs a...Ch. 11.4 - Prob. 11.111PCh. 11.4 - Prob. 11.112PCh. 11.4 - Prob. 11.113PCh. 11.4 - Prob. 11.114PCh. 11.4 - An oscillating garden sprinkler which discharges...Ch. 11.4 - A nozzle at A discharges water with an initial...Ch. 11.4 - The velocities of skiers A and B are as shown....Ch. 11.4 - The three blocks shown move with constant...Ch. 11.4 - Three seconds after automobile B passes through...Ch. 11.4 - Shore-based radar indicates that a ferry leaves...Ch. 11.4 - Airplanes A and B are flying at the same altitude...Ch. 11.4 - Prob. 11.122PCh. 11.4 - Knowing that at the instant shown block B has a...Ch. 11.4 - Knowing that at the instant shown block A has a...Ch. 11.4 - A boat is moving to the right with a constant...Ch. 11.4 - The assembly of rod A and wedge B starts from rest...Ch. 11.4 - Coal discharged from a dump truck with an initial...Ch. 11.4 - Conveyor belt A, which forms a 20° angle with the...Ch. 11.4 - During a rainstorm, the paths of the raindrops...Ch. 11.4 - Instruments in airplane A indicate that; with...Ch. 11.4 - When a small boat travels north at 15 km/h, a flag...Ch. 11.4 - As part of a department store display, a model...Ch. 11.5 - The Ferris wheel is rotating with a constant...Ch. 11.5 - A race car travels around the track shown at a...Ch. 11.5 - A child walks across merry go-round A with a...Ch. 11.5 - Determine the normal component of acceleration of...Ch. 11.5 - Prob. 11.134PCh. 11.5 - Prob. 11.135PCh. 11.5 - The diameter of the eye of a stationary hurricane...Ch. 11.5 - The peripheral speed of the tooth of a...Ch. 11.5 - A robot arm moves so that P travels in a circle...Ch. 11.5 - A monorail train starts from rest on a curve of...Ch. 11.5 - A motorist starts from rest at point A on a...Ch. 11.5 - Race car A is traveling on a straight portion of...Ch. 11.5 - At a given instant in an airplane race, airplane A...Ch. 11.5 - A race car enters the circular portion of a track...Ch. 11.5 - Pin A, which is attached to link AB, is...Ch. 11.5 - A golfer hits a golf ball from point A with an...Ch. 11.5 - Prob. 11.146PCh. 11.5 - Coal is discharged from the tailgate A of a dump...Ch. 11.5 - From measurements of a photograph, it has been...Ch. 11.5 - A child throws a ball from point A with an initial...Ch. 11.5 - Prob. 11.150PCh. 11.5 - Prob. 11.151PCh. 11.5 - Prob. 11.152PCh. 11.5 - Prob. 11.153PCh. 11.5 - Prob. 11.154PCh. 11.5 - Prob. 11.155PCh. 11.5 - Prob. 11.156PCh. 11.5 - Prob. 11.157PCh. 11.5 - A satellite will travel indefinitely in a circular...Ch. 11.5 - Prob. 11.159PCh. 11.5 - Satellites A and B are traveling in the same plane...Ch. 11.5 - Prob. 11.161PCh. 11.5 - Prob. 11.162PCh. 11.5 - During a parasailing ride, the boat is traveling...Ch. 11.5 - Prob. 11.164PCh. 11.5 - As rod OA rotates, pin P moves along the parabola...Ch. 11.5 - The pin at B is free to slide along the circular...Ch. 11.5 - To study the performance of a racecar a high-speed...Ch. 11.5 - After taking off, a helicopter climbs in a...Ch. 11.5 - At the bottom of a loop in the vertical plane, an...Ch. 11.5 - An airplane passes over a radar tracking station...Ch. 11.5 - Prob. 11.171PCh. 11.5 - Prob. 11.172PCh. 11.5 - Prob. 11.173PCh. 11.5 - Prob. 11.174PCh. 11.5 - Prob. 11.175PCh. 11.5 - Prob. 11.176PCh. 11.5 - Prob. 11.177PCh. 11.5 - Prob. 11.178PCh. 11.5 - Prob. 11.179PCh. 11.5 - Prob. 11.180PCh. 11.5 - Prob. 11.181PCh. 11 - Students are testing their new drone to see if it...Ch. 11 - A drag racing car starts from rest and moves the...Ch. 11 - A driver is traveling at a speed of 72 km/h in car...Ch. 11 - Prob. 11.185RPCh. 11 - Prob. 11.186RPCh. 11 - Prob. 11.187RPCh. 11 - Prob. 11.188RPCh. 11 - As the truck shown begins to back up with a...Ch. 11 - A velodrome is a specially designed track used in...Ch. 11 - Prob. 11.191RPCh. 11 - Prob. 11.192RPCh. 11 - A telemetry system is used to quantify kinematic...
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
- An elevator starts from rest and moves upward, accelerating at a rate of 1.2 m/s², until it reaches a speed of 6.8 m/s, which it maintains. 2.0 seconds after the elevator starts moving, a man 36 m above the initial position of the elevator throws a ball upward with an initial velocity of 27.5 m/s. Determine the time it will take the elevator to hit the ball, in seconds.arrow_forwardA stone A is dropped from rest down a well, and at time t1 another stone B is dropped from rest. Determine the time interval between the instant A strikes the water and the instant B strikes the water. Also, at what speed do they strike the water? Given: d = 80 m t1 = 1 s g = 9.81 m/S2arrow_forwarda stone was dropped from a hot air balloon when the balloon was 93m from the group (ascending at rate of 2.5m/s) determine: a. The velocity of the stone after 3.5 sec b. the time rewuired for the stone to attain a downward velocity of 22 m/s c. the altitude of the stone from the ground after 4 secarrow_forward
- A motorist starts from rest at point A on a circular entrance ramp when t=0, increases the speed of her automobile at a constant rate and enters the highway at point B. Knowing that her speed continues to increase at the same rate until it reaches 69.06 mph at point C, determine themagnitude of the tangential acceleration (ft/s2) from A to B. Round off only on the final answer expressed in 3 decimal places.arrow_forwardIn a 400-m race, runner A reaches her maximum velocity vA in 4 s with constant acceleration and maintains that velocity until she reaches the halfway point with a split time of 25 s. Runner B reaches her maximum velocity VB in 5 s with constant acceleration and maintains that velocity until she reaches the halfway point with a split time of 25.2 s. Both runners then run the second half of the race with the same constant deceleration of 0.1 m/s2. Determine (a) the race times for both runners, (b) the position of the winner relative to the loser when the winner reaches the finish line.arrow_forwardAn airport shuttle train travels between two terminals that are 1.6 mi apart. To maintain passenger comfort, the acceleration of the train is limited to ±4 ft/s2 , and the jerk, or rate of change of acceleration, is limited to ±0.8 ft/s2 per second. If the shuttle has a maximum speed of 20 mi/h, determine (a) the shortest time for the shuttle to travel between the two terminals, (b) the corresponding average velocity of the shuttle.arrow_forward
- A loaded railroad car is rolling at a constant velocity when it couples with a spring and dashpot bumper system. After the coupling, the motion of the car is defined by the relation 4.8 60 sin16 t xe t − = where x and t are expressed in mm and seconds, respectively. Determine the position, the velocity and the acceleration of the railroad car when (a) t = 0, (b) t = 0.3 s.arrow_forwardAn advanced spatial disorientation trainer allows the cab to rotate around multiple axes as well as to extend inwards and outwards. It can be used to simulate driving, fixed-wing aircraft flying, and helicopter maneuvering. In one training scenario, the trainer rotates and translates in the horizontal plane where the location of the pilot is defined by the relationships where r,0, and t are expressed in feet, radians, and seconds, respectively. Knowing that the pilot has a weight of 175 lbs, (a) determine the magnitude of the resulting force acting on the pilot at t= 5 s, (b) plot the magnitudes of the radial and transverse components of the force exerted on the pilot from 0 to 10 seconds.arrow_forwardTo transport a series of bundles of shingles A to a roof, a contractor uses a motor-driven lift consisting of a horizontal platform BC which rides on rails attached to the sides of a ladder. The lift starts from rest and initially moves with a constant acceleration a1 as shown. The lift then decelerates at a constant rate a2 and comes to rest at D , near the top of the ladder. Knowing that the coefficient of static friction between a bundle of shingles and the horizontal platform is 0.30, determine the largest allowable acceleration a1 and the largest allowable deceleration a2 if the bundle is not to slide on the platform.arrow_forward
- Tests reveal that a normal driver takes about 0.75 s before he or she can react to a situation to avoid a collision. It takes about 3 s for a driver having 0.1% alcohol in his system to do the same. If such drivers are traveling on a straight road at 30 mph (44 ft/s) and their cars can decelerate at 2 ft/s^2, determine the shortest stopping distance d for each from the moment they see the pedestrians.arrow_forwardA motorist is traveling on a curved section of highway with a radius of 2500 ft at a speed of 60 mi/h. The motorist suddenly applies the brakes, causing the automobile to slow down at a constant rate. If the speed has been reduced to 45 mi/h after 8 s, determine the acceleration of the automobile immediately after the brakes have been applied.arrow_forwardTwo highway checkpoints A and B are separated by 12 km. The speed limits for the first 8 km and the last 4 km are 100 km/h and 70 km/h, respectively. Drivers must stop at each checkpoint and the specified time between A and B is 8 min and 20 seconds. Knowing that a car accelerates and decelerates at the same constant value, determine the magnitude of its acceleration if the speed limit is traveled as much as possible.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
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY