1. Finding a Simple Mathematical Moadel, a- In this part, we should develop a mathematical model for a free-falling bungee jumper as shown in the picture depending on the rule of Dependent variable=f(indpendent variable, parameter variable, forcing function) some notes may help you to finish this example: Two forces are applied on the body. One is downward pull of gravity (mg). Another one is upward force air resistance (-cv²). Upward force due to air resistance The total force is a combination of two forces dv. and given by (F=m dt b- After finding the model, solve it because of being as a differential equation. c- A bungee jumper has a mass of 55kg, calculate velocity Downward force due for first 12 seconds. Use a drag coeffieicnt of 0.25kg/m. to gravity
1. Finding a Simple Mathematical Moadel, a- In this part, we should develop a mathematical model for a free-falling bungee jumper as shown in the picture depending on the rule of Dependent variable=f(indpendent variable, parameter variable, forcing function) some notes may help you to finish this example: Two forces are applied on the body. One is downward pull of gravity (mg). Another one is upward force air resistance (-cv²). Upward force due to air resistance The total force is a combination of two forces dv. and given by (F=m dt b- After finding the model, solve it because of being as a differential equation. c- A bungee jumper has a mass of 55kg, calculate velocity Downward force due for first 12 seconds. Use a drag coeffieicnt of 0.25kg/m. to gravity
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![1. Finding a Simple Mathematical Moadel,
a- In this part, we should develop a mathematical model for a free-falling
bungee jumper as shown in the picture depending on the rule of
Dependent variable=f(indpendent variable, parameter variable,
forcing function)
some notes may help you to finish this example:
Two forces are applied on the body.
One is downward pull of gravity (mg).
Upward force
due to air
resistance
Another one is upward force air resistance
(-cv²).
The total force is a combination of two forces
dv.
and given by (F=m)
dt
b- After finding the model, solve it because of being as a
differential equation.
c- A bungee jumper has a mass of 55kg, calculate velocity
for first 12 seconds. Use a drag coeffieicnt of 0.25kg/m.
Downward
force due
to gravity
d- As in the example explained in the lectures, use the approximated
technique to determine the approximated velocity.
e- Use the MATLAB CODE to polt both the analytical and approximated
(Numerical) methods. Give some reasons why the difference between
both results for the same law.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb83b7f8f-113a-4d87-92fb-39c0722a1db4%2F88c1a25a-19ce-43ec-8cfa-7f61689ad84d%2Fnkiok5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Finding a Simple Mathematical Moadel,
a- In this part, we should develop a mathematical model for a free-falling
bungee jumper as shown in the picture depending on the rule of
Dependent variable=f(indpendent variable, parameter variable,
forcing function)
some notes may help you to finish this example:
Two forces are applied on the body.
One is downward pull of gravity (mg).
Upward force
due to air
resistance
Another one is upward force air resistance
(-cv²).
The total force is a combination of two forces
dv.
and given by (F=m)
dt
b- After finding the model, solve it because of being as a
differential equation.
c- A bungee jumper has a mass of 55kg, calculate velocity
for first 12 seconds. Use a drag coeffieicnt of 0.25kg/m.
Downward
force due
to gravity
d- As in the example explained in the lectures, use the approximated
technique to determine the approximated velocity.
e- Use the MATLAB CODE to polt both the analytical and approximated
(Numerical) methods. Give some reasons why the difference between
both results for the same law.
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