m A roller coaster car and passenger with a mass of m = 800 kg starts at point A with a speed of V₁ = 9 - S Hints: 1. For the roller coaster car to pass through safely, the normal reaction at B, NB = 0. 2. Neglect friction, the mass of the wheels and the size of the car. A VA i aa d₁ Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value 18 m TE d3 9 m 12 9 m 4.5 m Using equations of motion in normal-tangential coordinates and conservation of energy, a. Determine the speed of the roller coaster car at point B, vp. b. Determine minimum height of the first hill so that the car travels around the inside loops without leaving the track, d₁. c. Determine the speed of the roller coaster car at point C, vc. d. Determine the normal reaction at point C, N. Round your final answers to 3 significant digits/figures. UB= d₁ = VC = N = m S m da m S N

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
icon
Related questions
Question
m
A roller coaster car and passenger with a mass of m = 800 kg starts at point A with a speed of V₁ = 9 -
S
Hints:
1. For the roller coaster car to pass through safely, the normal reaction at B, NB = 0.
2. Neglect friction, the mass of the wheels and the size of the car.
A
VA
i aa
d₁
Values for the figure are given in the following table. Note the figure may not be to scale.
Variable Value
18 m
TE
d3 9 m
12
9 m
4.5 m
Using equations of motion in normal-tangential coordinates and conservation of energy,
a. Determine the speed of the roller coaster car at point B, vp.
b. Determine minimum height of the first hill so that the car travels around the inside loops without
leaving the track, d₁.
c. Determine the speed of the roller coaster car at point C, vc.
d. Determine the normal reaction at point C, N.
Round your final answers to 3 significant digits/figures.
UB=
d₁ =
VC =
N =
m
S
m
da
m
S
N
Transcribed Image Text:m A roller coaster car and passenger with a mass of m = 800 kg starts at point A with a speed of V₁ = 9 - S Hints: 1. For the roller coaster car to pass through safely, the normal reaction at B, NB = 0. 2. Neglect friction, the mass of the wheels and the size of the car. A VA i aa d₁ Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value 18 m TE d3 9 m 12 9 m 4.5 m Using equations of motion in normal-tangential coordinates and conservation of energy, a. Determine the speed of the roller coaster car at point B, vp. b. Determine minimum height of the first hill so that the car travels around the inside loops without leaving the track, d₁. c. Determine the speed of the roller coaster car at point C, vc. d. Determine the normal reaction at point C, N. Round your final answers to 3 significant digits/figures. UB= d₁ = VC = N = m S m da m S N
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Clutches, Brakes, Couplings and Flywheels
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY