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 11.1, Problem 11.26P
A human-powered vehicle (HPV) team wants to model the acceleration during the 260-m sprint race (the first 60 m is called a flying start) using
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
At a certain point in the reentry of the space shuttle into the earth's atmosphere, the total acceleration of the shuttle may be
represented by two components. One component is the gravitational acceleration g -9.65 m/s² at this altitude. The second
component equals 10.98 m/s² due to atmospheric resistance and is directed opposite to the velocity. The shuttle is at an altitude of
46.1 km and has reduced its orbital velocity of 28300 km/h to 16230 km/h in the direction 0-1.92°. For this instant, calculate the
radius of curvature of the path and the rate i at which the speed is changing.
Answers:
p-
V=
1
km
m/s²
A subway train stops at two stations that are 2 km apart. The max. acceleration and deceleration of the train are 2 m/s2 and 1.6
m/s?, respectively and the max. allowable speed is 20 m/s. Which of the following gives the time to travel at a constant speed of 20
m/s?
a-t graph:
2 m/s?
t3
t2
-1.6 m/s?
Select the correct response:
100 s
88.75 s
87.85 s
80.25 s
1) Some civil engineers are designing an Autobahn connecting Reno and Vegas to reduce the drive time.
There are several hilly stretches between the two cities. They would like to keep the magnitude of
acceleration on the drivers to be less than one g. They run a test where the speed of a biker decreased
uniformly with time from 150 km/h at A to 100 km/h at B over 10 seconds. The radius of curvature
for dip A is 200 m. If the magnitude of the total acceleration of the center of the mass of the bike is
the same at B as at A, compute the radius of curvature rs of the hill in the road at B. The center of the
mass of the car is 0.5 m from the road. [Ans. To Check: re-88.5m]
TA = 200 m
A
VA= 150 km/h
H = 0.5 m
B
VB = 100 km/h
TB = ? m
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
- As a body is projected to a high altitude above the earths surface, the variation of the acceleration of gravity with respect to altitude yy must be taken into account. Neglecting air resistance, this acceleration is determined from the formula a=−g0[R2/(R+y)2]a=−g0[R2/(R+y)2], where g0g0 = 9.81 m/s2 m/s 2 is the constant gravitational acceleration at sea level, RR = 6356 kmkm is the radius of the earth, and the positive direction is measured upward. With what velocity does the particle strike the earth if it is released from rest at an altitude y0y0 = 400 kmkm?arrow_forwardAs a body is projected to a high altitude above the earths surface, the variation of the acceleration of gravity with respect to altitude yy must be taken into account. Neglecting air resistance, this acceleration is determined from the formula a=−g0[R2/(R+y)2]a=−g0[R2/(R+y)2], where g0g0 = 9.81 m/s2 m/s 2 is the constant gravitational acceleration at sea level, RR = 6356 kmkm is the radius of the earth, and the positive direction is measured upward.arrow_forward1. please provide handwritten solutionarrow_forward
- Q3 A-A race car accelerates uniformly from 18.5 m's to 46.1 m's in 247 seconds. Determine the acceleration of the car and the distance traveled. B-A feather is dropped from rest on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s. Determine the time for the feather to fall to the surface of the moon.arrow_forwardI need help with this question please. thank youarrow_forwardplease help me I need an answer ASAParrow_forward
- A particle moves along a straight line such that its position is defined by s = (t2 – 6t +5) m Part B Determine the average speed of the particle whent = 5.9 s. Express your answer to three significant figures and include the appropriate units. HA ? (Vsp)avg = Value Units Submit Request Answer Part C Determine the acceleration of the particle when t = 5.9 s. Express your answer to three significant figures and include the appropriate units. HA ? Value Units a =arrow_forwardAn engineer is setting a speed limit on a road. She wants a car to be able to stop in 73.0ft and knows that the maximum rate at which a car can safely brake is 17.0n/s. What initial speed (in given units) will allow the car to come a stop at the stop sign when braking with this acceleration? mph Could a car traveling 40mph come to a stop before the stop sign? yes noarrow_forwardA motorist traveling on a highway at a speed of 60 mi/h exits onto an ice-covered exit ramp. Wishing to stop, he applies his brakes until his automobile comes to rest. Knowing that the magnitude of the total acceleration of the automobile cannot exceed 10 ft/s?, use computational software (MATLAB, Excel, or any) to determine the minimum time required for the automobile to come to rest and the distance it travels on the exit ramp during that time if the exit ramp (1) is straight. Also, solve (1) assuming that the driver applies his brakes so that dv/dt, during each time interval, (a) remains constant, and (b) varies linearly.arrow_forward
- Dynamics ME201 Homeworkarrow_forwardQUESTION 14 A particle accelerates with a linear acceleration of 2t3 where t is the time. The initial speed is 1m/s. What is the distance covered in 10 s? O 1.9990 m O 2.10000 m O 3.10010 m O 4.10020 m O 5. Not enough information provided.arrow_forwardA 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 posi- tion, velocity, and acceleration of ball 1 with-respect-to ball 2 for time t≥ 2 sec. (neglect air resistance and assume acceleration of gravity is 9.81 m/s². For the two balls thrown in problem 6, how far above the earth will the two balls meet (i.e. what is their height when they pass each other)?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