Welcome to Advanced Dynamics for Spring 2024!

[cooperrc]

Greetings,
Welcome to our Advanced Dynamics (ME5180 + ME3295) course discussion board! Post questions, suggestions, and discoveries here for everyone to benefit from our learning community discussions.

To kick off our discussions,

1. Why are you interested in advanced dynamics and/or mechanical engineering?
2. What is your favorite winter activity?
3. Show us a physics equation in both $\LaTeX$ and python using
   $\LaTeX$
   and

```python
```

[cooperrc]

1. I love advanced dynamics because its a great combination of physics, engineering, and computational problem solving. It is difficult to digest, but the more I practice these skills the more I feel like I can tackle difficult engineering design concepts.
2. My favorite winter activity is sledding with my kids
3. This is the conservation of energy for a free falling object,

$\frac{1}{2}mv^2 + mgh = constant$

and in Python

m = 1
g = 9.81
T = lambda v: 1/2*m*v**2
V = lambda h: m*g*h
T(0) + V(1) # showing initial speed is 0 m/s and initial height is 1 m

[prabin-github]

Hi all, I am Prabin Pradhananga.

1. Advanced dynamics/mechanical engineering is a broad subject and is applied everywhere in our daily life. The keyboard I am using has keypads with springs which is a direct application of this subject. Next, if we look back to our own car, there are various systems (like power generation, transmission, braking, etc.) that completely rely on underlying principles of dynamics. This is really cool to study!
2. I am from a place where there's no snowfall. Therefore, I really love playing with snow (make snowman 😄 ) during the winter.
3. The following is an equation to determine the maximum height, $h$ of an object after certain time, $t$. The object is thrown with certain initial velocity, $u$. Here, air resistance is neglected and 1D motion is assumed:-
   $h = ut - \frac{1}{2}gt^2$
   where, $h$ is final height
   $u$ is initial velocity with which the object is thrown
   $g$ is acceleration due to gravity
   $t$ is time

and in python:-

u = 50         # initial velocity in m/s
g = 9.81       # acceleration due to gravity in m/s^2
h = lambda t: u*t - 0.5*g*t**2    # height of the object after time t
print(h(2))    # prints height of the object after 2 sec

[mattlewis10]

1. I am interested in advanced dynamics because I had previously taken dynamics and thought the content was interesting to me.
2. My favorite winter activity is skiing, I usually travel to Maine during break for this.
3. This is the equation for force:
   $F = ma$

m = 2 #mass
a = 4 #acceleration
F = m*a
F #prints 8

[ewk19001]

1. I am interested in advanced dynamics because it allows me to further understand difficult engineering problems, as well as how to solve them.
2. My favorite winter activity is skiing, but I haven't been yet this year.
3. This is a simple pressure formula:
   $P=\frac{F}{A}$
   Where $P$ is pressure, $F$ is force, and $A$ is area.

F = 20 #Force in Newtons
A = 2 #Area in meters squared
P = F/A #Pressure Equation
print(P) #Outputs the pressure in Pa, this case 40 Pa

[reaganpelton]

1. As Prof. Cooper said, advanced dynamics is a cross between physics, engineering, and computational problem solving. I have an interest in all three of these as I enjoy coding and have always had an interest in space, thus I'm pursing a minor in astrophysics. Becoming more proficient in computational problem solving is especially helpful in mechanical engineering and fields that cross into astrophysics related work as it involves a lot of simulation and analyzing data with code.

2. I enjoy skiing and just spending time outside in the snow, especially now that we don't get it as often!

3. Below is the formula describing Newton's law of universal gravitation, which defines the force of gravitational attraction between two bodies of mass m1 and m2 respectively whose centers are separated by a distance of r. G is the universal gravitational constant of 6.67e-11 $\frac{N-m^2}{kg}$.

$\ F = G \frac{m_{1}m_{2}}{r^2}$

F = (G * m_1 * m_2) / r**2 # Newton's law of universal gravitation formula
G = 6.67e-11 #  = N-m^2 / kg
m_1 = 5.97e24 # kg - mass of the earth
m_2 = 7.35e22 # kg - mass of the moon
r = 384400000 # meters - distance between earth and moon
print(F) # gives gravitational force between center of earth and center of moon

[josecev1]

1. I am interested in Mechanical Engineering because I would like to learn to design, fabricate, and manufacture products or inventions of my own design. I think it's super interesting and cool and I would like to apply this skill to my even more passionate topic which is space. This is also why I chose to take advanced dynamics because I'd like to learn more about dynamics and improve my skill on solving problems involving dynamics.

2. My favorite winter activity is snowboarding. I am not very good at it and I fall a lot, but I still think it's a very fun activity to do.

Below is an example of using einstein's equations to solve a simple problem where a flashlight uses a very small battery. If the all of the mass of the battery can be converted into energy how much energy can be produced by the battery. Einstein's equation is $\ E = mc^2$. The mass of the battery is $\ 0.002 kg$ and the speed of light is $\ 3.0 * 10^2 m/s^2$.

m = 0.002 kg  # mass of small battery
c = 3.0*(10**8) # speed of light
E = m*(c**2)
print(E) # gives energy of small battery if all of its mass can be converted to energy

[Connor695]

1. I am interested in advanced dynamics for its practical use in designing engine components such as crankshafts, cams, and more.
2. My favorite winter activity is skiing.
3. This is the drag force equation
   $F_D=\frac{1}{2}pv^2C_DA$

Calculation for a wing used on a car.

p = 1.3 # kg/m3 density of air 
v = 33.5 # velocity of car in m/s (meters per second)
C = 0.45 # drag coefficient 
A = 0.0155 # cross sectional area of wing in m (meters)
F = 0.5*p*(v**2)*C*A
print(F) # gives a drag force of 5.088 Newtons 

[benmedvedev]

Hi everyone, my name is Ben Medvedev.

1. I chose to take this class to learn more about Dynamics. I took Applied Mechanics 2 with Dr. Cooper and I am interested in learning more advanced topics to dynamics. I am getting my Masters degree in biomedical engineering but my undergrad heavily concentrated in mechanical engineering and biomechanics, so I feel that this is an important class to take for my field. I also accepted a full-time mechanical engineering position, so this class will greatly help me prepare for the job.
2. My favorite winter activity is definitely skiing. I grew up in Vermont and was put on skis when I was 4 years old, so I love it. I still go back to Vermont to ski and I just recently skied in Maine during the break.
3. I decided to pick the conversation of momentum equation.

$m_1v_1+m_2v_2 = m_1v_1' + m_2v_2'$

m_1 = 1.5  # mass of first object in kg 
m_2 = 3.2 # mass of second object in kg 
v_1 = 2.3 # initial speed of first object in m/s^2 
v_2  = 0.6 # initial speed of second object in m/s^2 
v_1f = 1.2 # final speed of first object in m/s^2 

v_2f = (m_1*v_1 +  m_2*v_2 - m_1*v_1f)/m_2  # final speed of second object in m/s^2 
print(v_2f) 

[n123wong]

1. I’m interested in advanced dynamics because I enjoyed previous dynamics classes and want to learn more about it, especially given its widespread applications.
2. My favorite winter activity is ice skating.
3. The following is a kinematic equation for distance traveled with a uniform acceleration.
   $d=v_0t+(1/2)at^2$

v_0 = 2     #initial velocity (m/s)
t = 5     #elapsed time (s)
a = 3     #acceleration (m/s^2)
print(d)     #prints distance traveled (m) for the given values

[HuyNgo24]

Hello everyone, my name is Huy (Harry) Ngo.

1. I am interested in advanced dynamics as this subject is relevant to my work. I want to learn more and gain a better understanding of how things work.
2. I have a passion for photography, and one of my favorite activities is capturing moments in the winter with snow. While I haven't tried skiing before, I'm eager to give it a shot at least once this winter.
3. I would pick a simple equation to calculate force:
   $F = ma$

m = 259 # mass in kg
a = 20 # acceleration in m/s^2
F = m*a #result will be 5180 N
print("The force is:", F, "N")  

[safdarmt]

Hi, my name is Muhammad Safdar.

1. I am interested in mechanical engineering because I have always been fascinated by the design of automobiles, aircraft, and other machines. Advanced dynamics is closely related to automobiles and aircraft because they rely on a lot of moving parts in order to function. Hence, this is the reason why I am interested in learning and gaining some theoretical/ practical training in dynamics.
2. Although I do not actively engage in most winter activities, I would like to learn ice skating when I get the chance.
3. Here is a physics equation that computes the work done: $W = F*d$
   In python:

F = 10    # Newtons
d = 6    # meters
W = F * d
W = 60    # Joules

[KlediHasan]

Hi all

1. I am interested in advance dynamics because during my undergrads classes dynamics was one of my favorited followed by mechanical vibration. I am exited for this class to learn more how to solve problems using programing. I am interested in Mechanical Engineering because I enjoy solving problems. I saw during the first 4 years of undergrads that calculus plays a fundamental role on this field. I want to learn more about it.

2. My favorite winter activity is skiing with my friends.

3. The formula that I studied and never used it on the exams but showed on the FE exam is the coefficient of restitution.
   $e=(V_b - V_a)/(U_a -U_b) $

V_b=10 #m/s  final  velocity of ball B
V_a=-15 #m/s  final velocity of ball A

U_b=-10 #m/s initial velocity of ball B
U_a=15 #m/s initial velocity of ball A
e=(V_b - V_a)/(U_a -U_b)


if e>0 and e<1 :
    print('This formula is Newton s law of restitution')
elif  e==1 :
     print('elastic collision')
elif e==0  :
    print ('inelastic collision')
else: print('error')

[alecpryce]

Hi, my name is Alec Pryce.

1. I am interested in advanced dynamics because the topic within mechanical engineering that I have understood and liked the most is physics and I want to expand upon the previous classes that I have taken at UConn so far.
2. My favorite winter activity is snowboarding while I wait for golf season to start back up.
3. The physics equation I chose is the acceleration equation: $a = \frac{\Delta V}{\Delta t}$

V = 20 
t = 2 
a = V/t
print(a)

[C-Olsen]

Hello my name is Chris Olsen.

1. I am interested in dynamics as it applies to my current role as a structures engineer. In my field we attempt to simplify things into static systems as often as possible. Outside of vibrations, I have had limited exposure to dynamics.
2. My favorite activity is skiing. I'll be taking a trip to Whistler this winter which I am very excited for.
3. As an example physics problem, I'll conductivity across a solid.

Heat Flux Across a Solid
$$q=-k*(T2-T1)/L$$

T1=273   #Cold Boundary Temperature 273 (K)
T2=373   #Hot Boundary Temperature 373 (K)
L=5         #Distance Between Hot & Cold Boundary (m)
k=237     #thermal conductivity of aluminum (W/(m*K))

q=k*(T2-T1)/L  #heat flux (W)
print(q)

[IsabellaFabrizi0717]

Hi my name is Isabella Fabrizi.

1. I am interested in advanced dynamics because I feel it is a great blend of my majors in mechanical engineering and computer science. I have also really enjoyed dynamics and computational mechanics in the past, so I am hoping to further my knowledge with this class.
2. My favorite winter activity is skiing.
3. Here is an equation for the period of a simple pendulum: $T = 2*\pi * \sqrt\frac{L}{g}$
   and in python

import math
L = 1 m #Length of pendulum
g = 9.81 m/s #gravitational constant
T = 2*math.pi*sqrt(L/g) #Period of simple pendulum
print(T)

[klyle136]

Hi, I'm Kevin Lyle. I'm interested in Advanced Dynamics because I suspect that my favorite branch of Mechanical Engineering has to do with the analysis of moving solid bodies, and this class seemed to fit that perfectly.
My favorite winter activity is skiing.
Here's a physics equation:
$F=m*a$
And another one:

P = 3 #kPa
A = 1 #m^2
F = P * A #kN

[a-white0]

Hi, I'm Alex, and I'm interested in Advanced Dynamics because I want to be able to calculate how to do a flip. My favorite winter activity is TBD because I'm a new transplant from the south and I think I need warmer clothes to enjoy being outdoors!

Here's a physics equation shown in latex:
$\rho=\frac{m}{v}$

And here's how I'd model it in python:

m = 1 #kg
v = .2 #m^3
rho = m/v #kg/m^3

[gwalley24]

Hello my name is Grayson Walley,

1. I am interested in advanced dynamics due to my interest in robotics. I'm hoping the class will help me to better understand and model how dynamic systems interact.
2. My favorite winter activity is snowboarding.
3. Below is the physics equation for force in Latex and Python:

$F=Ma$

F = ma
m = 100 
a = 9.8

[Har919]

Hello my name is Mirza Haroon Barlas.

1. I am interested in advanced dynamics because it covers the fields of mechanical engineering that I am interested in.
2. My favorite winter activity is drinking hot chocolate.
3. This is the first equation of motion:
   $v = v_0+at$

v_0 = 1 # m/s
a = 9.81 # m/s^2
t = 3 # s
v = v_0 + a*t # (m/s)

[alexgoosemann]

Hi everyone, I am Alexander Guzman

1. I am interested in mechanical engineering because I found a liking for CAD design, so I am very interested in becoming a design engineer post undergrad. Seeing your designed products come to real life is very rewarding.
2. My favorite winter activity is sledding and catching some real speed then knocking down whoever is in front of my way.
3. I will be using the force equation

$F$ = $m$ * $a$

m = 2 #kg
a = 5 #m/s^2
F = m * a
F = 10 #(kg*m)/s^2

[bfitzgerald123]

Hi my name is Brendan Fitzgerald.

1. I'm interested in advanced dynamics because it applies to my role as an engineer at Pratt & Whitney.
2. My favorite winter activity is skiing
3. I used this equation quite often as an undergrad

$v = v_{0} + at$

v0 = 1 #m/s
a = 9.81 #m/s^2
t = 10 #s
v = v0 + a*t

[SentientBiped]

1. I care about advanced dynamics because I'm interested in deepening my conceptual understanding of the physical world and building connections with like-minded people to ensure the safe and practical operation of mechanical systems.
2. My favorite winter activity is hibernation.
3. Law of the conservation of momentum:
   $\sum_{n=1}^{N} \vec{p_n} = \text{constant}$

import numpy as np
masses = np.array([1,2]) # kg
v0s = np.array([10, 0]) # m/s
constant = np.sum(masses*v0s) 

[liam-Wilson4]

Hi everyone, I am Liam Wilson.

1. Why are you interested in advanced dynamics and/or mechanical engineering?
   I am interested in advanced dynamics because I have worked at a variety of places designing different things and always want a better understanding of how things work to come up with better designs.

2. What is your favorite winter activity?
   My favorite winter activity is skiing.

3. Show us a physics equation in both LATEX and python:

$F = M * A$

M = 150 
V = 20
F = M*V

[EKimbleWillcutts]

1. Why are you interested in advanced dynamics and/or mechanical engineering?
   I am interested in advanced dynamics because I find that the previous classes that led up to this have been enormously useful thus far, so I wanted to build on these skills.

2. What is your favorite winter activity?
   I enjoy skiing and snowboarding, can't say I prefer one over the other.

3. Show us a physics equation in both LATEX and python:
   $E = mc^2$

m = 0.05
c = 3*10**8
E = m*c**2

[dan21014]

1. Why are you interested in advanced dynamics and/or mechanical engineering?
   I enjoyed dynamics so I am hoping this extends that field of study. I also struggle with coding so I hope this helps.
2. What is your favorite winter activity?
   My favorite winter activity is skiing.
3. Show us a physics equation in both and python using $\LaTeX$ and

`a = 9.81
t = 3
v0 = 5
x0 = 2

x = 1/2at^2 + v0*t + x0`

[ggs19001]

Hi my name is Guillermo.

I'm interested in advanced dynamics because I love structural engineering
My favorite winter activity is snowboarding
Force of due to mass and acceleration F= ma

[usbencha]

Hey everyone, I am Ben Chasse.

1. I am interested in advanced dynamics/mechanical engineering because being able to analyze different systems gives us an understanding of how the world works. It allows us to create new things and discover new ideas, which is something I've always enjoyed doing.
2. My favorite winter activity is ice skating, although I haven't been in a couple years.
3. Physics Equation: Speed of Sound
   $a=\sqrt{\gamma RT}$

gamma = 1.4
R = 287
T = 300
a = (gamma*R*T)**(1/2)
print(a)

[RyanW-UConn]

Hello, I am Ryan Wendt

1. I’m interested in advanced dynamics because it involves mechanical systems. I’ve always found mechanical systems satisfying and interesting, whether it be a clock, a door, or some sort of tool. I’m looking forward to being able to learning how dynamics systems like that are analyzed.
2. My favorite winter activity is sledding. I don’t think I’ll ever not enjoy sliding down a hill of snow!
3. Here is the equation for Hooke's law - this tells us the force required to displace a spring of constant $k$ a distance of $x$.

$F = kx$

k = 1000 #N/m
x = 0.01 #m

F = k*x

print(‘The force required to stretch the spring ‘, x, ‘m is ‘, F, ‘N’)

[ryanklinz]

1. I enjoyed dynamics sophmore year so I am hoping to learn more about this subject.
2. I like hiking even in the winter.
   F = ma
   $'F = ma'$

m = 5
a = 9.81
f = m*a
print('f`)

[ryanzwick]

I am very interested in advanced dynamics because it involves the design of moving structures which is going to be very useful for any job in the bike, car, or aerospace industry. I also really enjoyed dynamics and computational mechanics so this will hopefully be fun too!

My favorite winter activity is riding my bike in the snow!

This equation is for acceleration

$a = (v1 - v2) / t$

and in Python

v1=10 #values
v2=5
t=10
a = (v1-v2)/t  #calculation
a #this will show the acceleration