Homework Help is Here – Start Your Trial Now!
Engineering
Civil Engineering
A monorail train starts from rest on a curve of radius 400 m and accelerates at the constant rate a,. If the maximum total acceleration of the train must not exceed 1.5 m/s², determine (a) the shortest distance in which the train can reach a speed of 72 km/h, (b) the corresponding constant rate of acceleration a,.

A monorail train starts from rest on a curve of radius 400 m and accelerates at the constant rate a,. If the maximum total acceleration of the train must not exceed 1.5 m/s², determine (a) the shortest distance in which the train can reach a speed of 72 km/h, (b) the corresponding constant rate of acceleration a,.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
11.139 Dynamics
11.139 A monorail train starts from rest on a curve of radius 400 m and accelerates at the constant rate a,. If the maximum total acceleration of the train must not exceed 1.5 m/s², determine (a) the shortest distance in which the train can reach a speed of 72 km/h, (b) the corresponding constant rate of acceleration a,. 11.140 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 natil it reaches 100 km/h at point C, determine (2) the apend at point 8. (b) the magnitude of the total acceleration who 720 G 11.41 Race 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. 200 km/h 300 m 50° 240 km/h A EO Fig. P11.141 11.142 At a given instant in an airplane race, airplane A is flying horizontally in a straight line, and its speed is being increased at the rate of 8 m/s². Airplane B is flying at the same altitude as airplane A and, as it rounds a pylon, is following a circular path of 300-m radius. Knowing that at the given instant the speed of B is being decreased at the rate of 3 m/s², determine, for the positions shown, (a) the velocity of B relative to A, (b) the acceleration of B relative to A.
Transcribed Image Text:11.139 A monorail train starts from rest on a curve of radius 400 m and accelerates at the constant rate a,. If the maximum total acceleration of the train must not exceed 1.5 m/s², determine (a) the shortest distance in which the train can reach a speed of 72 km/h, (b) the corresponding constant rate of acceleration a,. 11.140 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 natil it reaches 100 km/h at point C, determine (2) the apend at point 8. (b) the magnitude of the total acceleration who 720 G 11.41 Race 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. 200 km/h 300 m 50° 240 km/h A EO Fig. P11.141 11.142 At a given instant in an airplane race, airplane A is flying horizontally in a straight line, and its speed is being increased at the rate of 8 m/s². Airplane B is flying at the same altitude as airplane A and, as it rounds a pylon, is following a circular path of 300-m radius. Knowing that at the given instant the speed of B is being decreased at the rate of 3 m/s², determine, for the positions shown, (a) the velocity of B relative to A, (b) the acceleration of B relative to A.
Expert Solution
Step 1

Given: Radius of curve, ρ = 400m, v = 72km/h= 20 m/s

 

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Intersection design
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS