Vector Mechanics for Engineers: Statics and Dynamics
12th Edition
ISBN: 9781259638091
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
Textbook Question
Chapter 11, Problem 11.187RP
A roller-coaster car is traveling at a speed of 20 m/s when it passes through point B. At that point, it enters a concave down circular section of the track that has a radius of curvature of 60 m. After it reaches point B, the car’s speed increases at a rate of 4 m/s2. Determine (a) the time it takes the car to reach point D, (b) the x and y components of the overall acceleration of the car when it reaches point D.
Fig. P11.187
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A car is about to pass through an arc bridge, as shown in the figure below. Given that thespeed of the car is 5 m/s constantly, determine the magnitude and direction of the car’s acceleration at thehighest point, B, and at the end of the bridge, point C (assume the car is still on the bridge). For a parabola that has a general equation of (y = ax2 + bx + c) , the x coordinate of the vertex can be found by (-(b/2a))
At time t = 17 s, the velocity of a particle moving in the x-y plane is v = 0.14i +2.92j m/s. By time t = 17.13 s, its velocity has become
0.01i + 2.82j m/s. Determine the magnitude day of its average acceleration during this interval and the angle made by the average
acceleration with the positive x-axis. The angle is measured counterclockwise from the positive x-axis.
Answers:
dav
0=
i 0.546
i 37.56
m/s²
Question 4: A particle travels along a path made up by two
semicircles with same radius of 8 m, as shown. If it travels
from rest from point A and its speed is increasing at a
constant 2 m/s², determine the magnitude of its
acceleration at point B.
(a) 5.80 m/s²
(b) 6.61 m/s²
(c) 25.2 m/s²
(d) 101 m/s2
B
Chapter 11 Solutions
Vector Mechanics for Engineers: Statics and 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 - 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 car 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...Ch. 11.1 - Point A oscillates with an acceleration a =...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 - Prob. 11.21PCh. 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 - Prob. 11.27PCh. 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[1 sin(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 - Prob. 11.45PCh. 11.2 - Prob. 11.46PCh. 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...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 - Prob. 11.58PCh. 11.2 - The system shown starts from rest, and each...Ch. 11.2 - Prob. 11.60PCh. 11.3 - A particle moves in a straight line with a...Ch. 11.3 - Prob. 11.62PCh. 11.3 - A particle moves in a straight line with the...Ch. 11.3 - A particle moves in a straight line with the...Ch. 11.3 - A particle moves in a straight line with the...Ch. 11.3 - Prob. 11.66PCh. 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 - The acceleration record shown was obtained for a...Ch. 11.3 - Prob. 11.71PCh. 11.3 - Prob. 11.72PCh. 11.3 - Prob. 11.73PCh. 11.3 - Car A is traveling on a highway at a constant...Ch. 11.3 - Prob. 11.75PCh. 11.3 - Prob. 11.76PCh. 11.3 - Prob. 11.77PCh. 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 - Prob. 11.83PCh. 11.3 - Prob. 11.84PCh. 11.3 - An elevator starts from rest and rises 40 m to its...Ch. 11.3 - Two road rally checkpoints A and B are located on...Ch. 11.3 - As shown in the figure, from t = 0 to t = 4 s, the...Ch. 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 - Prob. 11.7CQCh. 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 - 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 - The three-dimensional motion of a particle is...Ch. 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 with...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 =...Ch. 11.4 - Prob. 11.109PCh. 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 - A worker uses high-pressure water to clean the...Ch. 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 - Prob. 11.120PCh. 11.4 - Airplanes A and B are flying at the same altitude...Ch. 11.4 - Prob. 11.122PCh. 11.4 - Prob. 11.123PCh. 11.4 - Prob. 11.124PCh. 11.4 - A boat is moving to the right with a constant...Ch. 11.4 - Prob. 11.126PCh. 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 - Prob. 11.130PCh. 11.4 - Prob. 11.131PCh. 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 - Prob. 11.9CQCh. 11.5 - A child walks across merry-go-round A with a...Ch. 11.5 - Prob. 11.133PCh. 11.5 - Determine the maximum speed that the cars of the...Ch. 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 - 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 - A nozzle discharges a stream of water in the...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 - A projectile is fired from point A with an initial...Ch. 11.5 - Prob. 11.151PCh. 11.5 - Prob. 11.152PCh. 11.5 - 11.153 and 11.154 A satellite will travel...Ch. 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 - Knowing that the radius of the earth is 6370 km,...Ch. 11.5 - Satellites A and B are traveling in the same plane...Ch. 11.5 - The angular displacement of the robotic arm is...Ch. 11.5 - During a parasailing ride, the boat is traveling...Ch. 11.5 - Some parasailing systems use a winch to pull the...Ch. 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 - Prob. 11.167PCh. 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 - 11.173 and 11.174 A particle moves along the...Ch. 11.5 - Prob. 11.174PCh. 11.5 - Prob. 11.175PCh. 11.5 - Prob. 11.176PCh. 11.5 - The motion of a particle on the surface of a right...Ch. 11.5 - Prob. 11.178PCh. 11.5 - The three-dimensional motion of a particle is...Ch. 11.5 - For the conic helix of Prob. 11.95, determine the...Ch. 11 - Students are testing their new drone to see if it...Ch. 11 - A drag racing car starts from rest and moves down...Ch. 11 - A driver is traveling at a speed of 72 km/h in car...Ch. 11 - The velocities of commuter trains A and B are as...Ch. 11 - Knowing that slider block A starts from rest and...Ch. 11 - A roller-coaster car is traveling at a speed of 20...Ch. 11 - A golfer hits a ball with an initial velocity of...Ch. 11 - As the truck shown begins to back up with a...Ch. 11 - A velodrome is a specially designed track used in...Ch. 11 - Sand is discharged at A from a conveyor belt and...Ch. 11 - The end point B of a boom is originally 5 m from...Ch. 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
- A particle which moves with curvilinear motion has coordinates in millimeters which vary with the time t in seconds according to x = 6.3t2 - 7.0t and y = 4.3t2 - t°/4.0. Determine the magnitudes of the velocity v and acceleration a and the angles which these vectors make with the x-axis when t = 3.0 s. Answers: When t = 3.0 s, mm/s, i %3D V = mm/s?, 0x = iarrow_forwardOn a curvy road, a motorist applies breaks and the speed of the vehicle reduced uniformly from 60 km/h at point A to 40 km/h at point B; the points A and B are 120 m apart. If the vehicle has a resultant acceleration of 2.5 m/s² at point A, calculate the radius of the curvature of the road at this point. Calculate also the acceleration of the vehicle at point B where the road has a radius of curvature equal to 90 m.arrow_forwardQuestion 8 A car is traveling around a circular track of 680-ft radius. If the magnitude of its total acceleration is 9.5 ft/sec2 at the instant when its speed is 40 mi/hr, determine the rate at at which the car is changing its speed.arrow_forward
- Your answer is partially correct. A particle which moves with curvilinear motion has coordinates in millimeters which vary with the time t in seconds according to x = 1.5t2 - 5.2t and y = 2.3t2 - t/5.8. Determine the magnitudes of the velocity v and acceleration a and the angles which these vectors make with the x-axis when t= 1.4 s. Answers: When t = 1.4 s, mm/s, O, = i V = 5.51757 46.4108 4.3512 mm/s?, e, a = 46.4108arrow_forwardA car starts from a stand still with a constant acceleration of 3.94 ft/ s2 for 20 seconds. At that instant, upon reaching that speed, the driver decides to move at a constant speed for 40 seconds. In the last section of its journey, the driver hits the brakes causing a deceleration of 8.20 ft/s2 until the car comes to a complete stop. Indicate the type of movement that occurs in each section, calculate velocity, acceleration and position in each section (express the results in the International System units), graph velocity, acceleration, and position as a function of time for those same sections, and finally calculate the distance traveled.arrow_forwardAn overhead view of part of a pinball game is shown. If the plunger imparts an initial speed of 2.5 m/s to the ball at time t = 0, determine the acceleration a of the ball (a) at time t = 0.10 s and (b) at time t = 0.25 s. At point F, the speed of the pinball has decreased by 12% from the initial value, and this decrease may be assumed to occur uniformly over the total distance traveled by the pinball. Use the values r= 150 mm and 0 = 55° A wwwww Answers: T 1 (a) t = 0.10 s, (b) t = 0.25 s, a = a = x T B i D E r ● 'r J A i+ i i + i A j) m/s² j) m/s²arrow_forward
- On a curvy road, a motorist applies breaks and the speed of the vehicle is reduced uniformly from 60 km/h at point A to 40 km/h at point B; points A and B are 120 m apart. If the vehicle has a resultant acceleration of 2.5 m/s2 at point A, calculate the radius of the curvature of the road at this point. Calculate also the acceleration of the vehicle at point B where the road has a radius of curvature equal to 90 m. (complete steps)arrow_forwardAt the instant shown in (Figure 1) , the car at A is traveling at 10 m/sm/s around the curve while increasing its speed at 5.1 m/s2m/s2. The car at B is traveling at 28.5 m/sm/s along the straightaway and increasing its speed at 2 m/s^2. First Question: Determine the direction angle of the relative velocity with respect to B at this instant, measured counterclockwise from the positive x axis. Second Question: Determine the magnitude of the relative acceleration of A with respect to B at this instant. Third Question: Determine the direction angle of the relative acceleration with respect to B at this instant, measured counterclockwise from the positive x axis.arrow_forward3. The hydraulic cylinder C extends and causes the collar A to move and accelerate to the left. 3) If the length /= 1.5 ft, the angle = 33°, the linear velocity of collar A, VÀ is 5.5 ft/s, and the linear acceleration of collar A, a is 3.1 ft/s², determine the magnitude of the angular velocity, WAB, of rod AB. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. X Your Answer: Answer k Ө units VA as ←arrow_forward
- Two pulleys are fixed to each other and driven by a belt. When the belt reaches the velocity of v=0.2 m/s, the total acceleration of point P is 8 m/s2. Determine the acceleration of point B at that instant. 200 mm В \P /A 200 mmarrow_forwardThe car is traveling at a speed of 95 km/h as it approaches point A. Beginning at A, the car decelerates at a constant rate of 2 m/s? until it gets to point B, after which its constant rate of decrease of speed is 0.9 m/s² as it rounds the interchange ramp. Determine the magnitude of the total car acceleration: a) just before it gets to B, b) just after it passes B, and c) at point C. 60 m C A B. 90 marrow_forwardQ6. As shown in the image below, two objects, A and B, are connected using the cable and pulley system. (The cable and pulley system is friction-less and weight-less.) If at this moment the acceleration of object Bis downward 2.3 m/s², determine the acceleration of object A (in m/s²2) at this moment. In this problem, downward motion is considered positive, and in your answer, negative sign must be included if the motion of A is upward. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper SI unit. A B VBarrow_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