Problem 1. Stickman, using the profits from his very lucrative stuntman business, has started an electric car company. His cars use a flywheel to store and supply energy as a means of increasing efficiency. A novice engineer for the company has designed a flywheel system that mounts at the center of mass of the car. The axis of the flywheel is aligned with the y-axis as shown (the coordinate systems for each figure align). If the flywheel is rotating about the base at a constant 120rad/s with a +y sense and the car is traveling in a circular path centered at point C with a constant speed of 20 m/s, solve for parts a) - e). Point G is the center of mass of the car and point F is the center of mass of the flywheel. The base of the flywheel is rigidly attached to the car. All velocities and accelerations should be measured with respect to an inertial coordinate system and reported as vectors with appropriate units. a) Angular velocity of the flywheel F G ∙y 1 0 0 [IF] 0 2 0kg.m² = 00 1 m = 5kg Ⓒ X G m v=20- S ∙y b) Angular accel. of the flywheel c) Linear accel. of points G and F (hint: they are the same)

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
Problem 1. Stickman, using the profits from his very lucrative stuntman business, has started an electric
car company. His cars use a flywheel to store and supply energy as a means of increasing efficiency. A
novice engineer for the company has designed a flywheel system that mounts at the center of mass of
the car. The axis of the flywheel is aligned with the y-axis as shown (the coordinate systems for each
figure align). If the flywheel is rotating about the base at a constant 120rad/s with a +y sense and the
car is traveling in a circular path centered at point C with a constant speed of 20 m/s, solve for parts a) -
e). Point G is the center of mass of the car and point F is the center of mass of the flywheel. The base of
the flywheel is rigidly attached to the car. All velocities and accelerations should be measured with
respect to an inertial coordinate system and reported as vectors with appropriate units.
a) Angular velocity of the flywheel
G
Z
Flywheel
(back)
-y
[1 0 0
[I] 0 2 0 kg.m²
001
m= = 5kg
(C)
10m
X
v=20
Car
(top)
m
S
b) Angular accel. of the flywheel
c) Linear accel. of points G and F
(hint: they are the same)
d) Kinetic energy of the flywheel
e) Angular momentum of the
flywheel about point F
Transcribed Image Text:Problem 1. Stickman, using the profits from his very lucrative stuntman business, has started an electric car company. His cars use a flywheel to store and supply energy as a means of increasing efficiency. A novice engineer for the company has designed a flywheel system that mounts at the center of mass of the car. The axis of the flywheel is aligned with the y-axis as shown (the coordinate systems for each figure align). If the flywheel is rotating about the base at a constant 120rad/s with a +y sense and the car is traveling in a circular path centered at point C with a constant speed of 20 m/s, solve for parts a) - e). Point G is the center of mass of the car and point F is the center of mass of the flywheel. The base of the flywheel is rigidly attached to the car. All velocities and accelerations should be measured with respect to an inertial coordinate system and reported as vectors with appropriate units. a) Angular velocity of the flywheel G Z Flywheel (back) -y [1 0 0 [I] 0 2 0 kg.m² 001 m= = 5kg (C) 10m X v=20 Car (top) m S b) Angular accel. of the flywheel c) Linear accel. of points G and F (hint: they are the same) d) Kinetic energy of the flywheel e) Angular momentum of the flywheel about point F
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Design of Permanent Joints
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