The roller-coaster car depicted in Figure Q3 has an empty mass of 700 kg. Additionally, the passenger inside has a mass of 75 kg. The car is released from rest at the top of the hill at A. Friction, mass of the wheels and the size of the car can be neglected.
The roller-coaster car depicted in Figure Q3 has an empty mass of 700 kg. Additionally, the passenger inside has a mass of 75 kg. The car is released from rest at the top of the hill at A. Friction, mass of the wheels and the size of the car can be neglected.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
The roller-coaster car depicted in Figure Q3 has an empty mass of 700 kg. Additionally, the passenger inside has a mass of 75 kg. The car is released from rest at the top of the hill at A. Friction, mass of the wheels and the size of the car can be neglected.
(a) Determine the minimum height of the hill crest (h) so that the car travels around inside of the loop without leaving the track.
(b) Determine the maximum constant braking force which may be applied at B so that the car stops on the ground immediately after exiting the loop.
(c) If the car is released from a different hill crest, with height 2.5h, how much is the car speed just before entering the loop?

Transcribed Image Text:Q3. The roller-coaster car depicted in Figure Q3 has an empty mass of
700 kg. Additionally, the passenger inside has a mass of 75 kg. The
car is released from rest at the top of the hill at A. Friction, mass of
the wheels and the size of the car can be neglected.
h
A
10 m
B
C
Figure Q3
(a) Determine the minimum height of the hill crest (h) so that the
car travels around inside of the loop without leaving the track.
(b) Determine the maximum constant braking force which may be
applied at B so that the car stops on the ground immediately
after exiting the loop.
(c) If the car is released from a different hill crest, with height 2.5h,
how much is the car speed just before entering the loop?
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 7 images

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.Recommended textbooks for you

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

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