Vector Mechanics for Engineers: Dynamics
11th Edition
ISBN: 9780077687342
Author: Ferdinand P. Beer, E. Russell Johnston Jr., Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 11.2, Problem 11.43P
Two automobiles A and B are approaching each other in adjacent highway lanes. At
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
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 62.5 mph at point C, determine themagnitude of the normal acceleration (ft/s2) at t=10s.
Q4// Two cars A and B,
approaching each other in
adjacent highway lanes. A and B
are 0.8 mi apart at t=0, and their
speed are 70 mi/h and 40 mi/h
respectively when they at P and Q
position. Knowing that car A
passes point Q 38 s after B was
there and that B passes point P 42
s after A was there. Determined:
*. a) The uniform acceleration of A
B
-0.8
إجابتك
Q4-b)the uniform acceleration of
,B
The collar P slides outward at a constant relative speed u along rod AB, which rotates counterclockwise with a constant angular
velocity of 18 rpm. Knowing that r= 250 mm when e = 0 and that the collar reaches B when e = 90°, determine the magnitude of the
acceleration of the collar Pjust as it reaches B.
В
500 mm
The magnitude of the acceleration of the collar Pjust as it reaches Bis
m/s2.
Chapter 11 Solutions
Vector Mechanics for Engineers: Dynamics
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 - The motion of a particle is defined by the...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 directly...Ch. 11.1 - The acceleration of a particle is defined by the...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 is by electronic equipment that is...Ch. 11.1 - A projectile enters a resisting medium at x=0 with...Ch. 11.1 - The acceleration of a particle is defined by the...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 motorist is travelling at 54 km/h when she...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 - Slider block B moves to the right with a constant...Ch. 11.2 - At the instant shown, slider block B is moving...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 - Block A starts from rest at t=0 and moves downward...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 vibrating particle is defined by...Ch. 11.4 - The motion of a particle is defined by the...Ch. 11.4 - Prob. 11.93PCh. 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 - What flows from a drain spout with an initial...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 - The pitcher in a softball game throws a ball with...Ch. 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 - Prob. 11.127PCh. 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 5 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 smallest radius that should be used...Ch. 11.5 - Prob. 11.134PCh. 11.5 - Human centrifuges are often used to simulate...Ch. 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 - An airplane flying at a constant speed of 240 m/s...Ch. 11.5 - A golfer hits a golf ball from point A with an...Ch. 11.5 - Three children are throwing snowballs at each...Ch. 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 - The path of a particle P is a limacon. The motion...Ch. 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 - Pin C is attached to rod BC and slides freely in...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 - The motion of a particle is defined by the...Ch. 11 - A drag racing car starts from rest and moves the...Ch. 11 - A particle moves in straight line with the...Ch. 11 - Prob. 11.185RPCh. 11 - Prob. 11.186RPCh. 11 - Collar A starts form rest at t=0 and moves...Ch. 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
- Collar A starts from rest at t= 0 and moves downward with a constant acceleration of 7 in./s2. Collar B moves upward with a constant acceleration, and its initial velocity is 8 in./s. Knowing that collar B moves through 20 in. between t= 0 and t= 2 s, determine (a) the accelerations of collar B and block C, (b) the time at which the velocity of block C is zero, (c ) the distance through which block C will have moved at that time.arrow_forward8) Dave is driving his Civic (car A) at 45mi/h (in a 30 zone) up to an intersection and notes that he passes through the intersection 3 seconds after a classic Ford Mustang (car B) passed through the intersection doing the speed limit as shown. Assuming that there is no acceleration of either car, determine (a) the relative velocity of car B with respect to car A, (b) the change in position of B with respect to A during a 4-s interval, (c) the distance between the two automobiles 2s after A has passed through the intersection. N S 45 mi/h B 70° 30 mi/harrow_forwardTwo automobiles A and B are approaching each other in adjacent highway lanes. At t = 0, A and B are 3200 ft apart, their speeds are vA = 66 mi/h and vB = 39 mi/h, and they are at points P and Q, respectively. A passes point Q 40 s after B was there and B passes point P 42 s after A was there. Determine the uniform accelerations of A and B. (You must provide an answer before moving on to the next part.) The uniform acceleration of A is – ____ft/s2. The uniform acceleration of B is ____ft/s2.arrow_forward
- Problem No. 3 Two Cars A and B are traveling in the same direction at the same speed of 20 meters per second along a level road with Car A 150 meter ahead of Car B. Car A decelerates at a rate of 2m/s?. From this instant up to the time B overtakes A how far has Car A traveledarrow_forwardali 4 Q4// Two cars A and B, approaching each other in adjacent highway lanes. A and B are 0.8 mi apart at t=0, and their speed are 70 mi/h and 40 mi/h respectively when they at P and Q position. Knowing that car A passes point Q 38 s after B was there and that B passes point P 42 s after A was there. Determined: *. a) The uniform acceleration of A - Llä 4 Q4-b)the uniform acceleration of „B blä: 4 Q4-c) when the cars passes each * ,other Lli 3 Q4-d) the speed of B when the .cars passes each otherarrow_forwardAutomobiles A and B are traveling in adjacent highway lanes and at t = 0 have the positions and speeds shown, where S = 75.2, (vA)0 = 24.7 mi/h , and (vB)0 = 35.8 mi/h. Knowing that automobile A has a constant acceleration of 1.89 ft/s2 and that B has a constant deceleration of 1.17 ft/s2 , determine the relative velocity (in mi/h) of A with respect to B at the moment when A overtakes B.arrow_forward
- Automobiles A and B are traveling in adjacent highway lanes and at t = 0 have the positions and speeds shown, where S = 75.6, (VA)0 = 25 mi/h, and (VB)0 = 35.6 mi/h. Knowing that automobile A has a constant acceleration of 1.81 ft/s2 and that B has a constant deceleration of 1.09 ft/s2, determine the relative velocity (in mi/h) of A with respect to B at the moment when A overtakes B. Round off only on the final answer expressed in 3 decimal places. (VA) O (VB)0 X S ft Barrow_forwardi need the answer quicklyarrow_forwardProblem 11: Particles A and B are traveling around a circular hoop at a speed of 8 m/s at the instant shown. If the speed of B is increasing at constant 4 m/s², and the speed of A is increasing at 0.8t m/s², determine: (a) The time to at which the particles will collide. Ans: t = 2.51s, 14.63 s (b) The magnitude of the accelerations of both particles just before the collision occurs. Ans: a₁ = 22.22aB = ( aA 65.12 8 = 120⁰ r = 5m Problem 12: A boat has an initial speed of 16 ft/s. If it then increases its speed at the rate = 1.5s ft/s², where s is the distance travelled in ft, determine the time needed for the boat to travel s = 50 ft. The path of the boat is a circle of radius p = 80ft. Ans: t = 1.68 sarrow_forward
- An aircraft P is flying along a circular path in a vertical plane, and is being tracked by a radar at O. At the point indicated, the aircraft has a horizontal velocity of 540 km/h and no horizontal acceleration. The radius of curvature P 540 km/h | 300 m of the circular path at this point is 1500 m. Determine the following: (a) the acceleration of P. (b) the values of r and Ô (c) the values of i and Ô 400 marrow_forwardAutomobiles A and B are traveling in adjacent highway lanes and at t = 0 have the positions and speeds shown, where S = 77.1, (VA)O = 23.3 mi/h, and (VB)o = 36.8 mi/h. Knowing that automobile A has a constant acceleration of 1.72 ft/s2 and that B has a constant deceleration of 1.12 ft/s2, determine the relative velocity (in mi/h) of B with respect to A at the moment when A overtakes B. Round off only on the final answer expressed in 3 decimal places. (VA)O A X S ft (VB)0 Barrow_forwardRace car A is traveling on a straight portion of the track while race car B is traveling on a circular portion of the track. At the instant shown, the speed of A is increasing at the rate of 10 m/s2, and the speed of B is decreasing at the rate of 6 m/s2. For the position shown, determine (a) the velocity of B relative to A, (b) the acceleration of B relative to A.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