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
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Author:Sadiku, Matthew N. O.
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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
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