Hot Springs is a resort city in the state of Arkansas and the county seat of Garland County. The city is located in the Ouachita Mountains among the U.S. Interior Highlands, and is set among several natural hot springs for which the city is named. As of the 2010 United States Census, the city had a population of 35,193. In 2019 the estimated population was 38,797.The center of Hot Springs is the oldest federal reserve in the United States, today preserved as Hot Springs National Park. The hot spring water has been popularly believed for centuries to possess healing properties, and was a subject of legend among several Native American tribes. Following federal protection in 1832, the city developed into a successful spa town. Incorporated January 10, 1851, the city has been home to Major League Baseball spring training, illegal gambling, speakeasies and gangsters such as Al Capone, horse racing at Oaklawn Park, the Army and Navy Hospital, and 42nd President Bill Clinton. One of the largest Pentecostal denominations in the United States, the Assemblies of God, traces its beginnings to Hot Springs.
Today, much of Hot Springs's history is preserved by various government entities. Hot Springs National Park is maintained by the National Park Service, including Bathhouse Row, which preserves the eight historic bathhouse buildings and gardens along Central Avenue. Downtown Hot Springs is preserved as the Central Avenue Historic District, listed on the National Register of Historic Places. The city also contains dozens of historic hotels and motor courts, built during the Great Depression in the Art Deco style. Due to the popularity of the thermal waters, Hot Springs benefited from rapid growth during a period when many cities saw a sharp decline in building; much like Miami's art deco districts. As a result, Hot Springs's architecture is a key part of the city's blend of cultures, including a reputation as a tourist town and a Southern city. Also a destination for the arts, Hot Springs features the Hot Springs Music Festival, Hot Springs Documentary Film Festival, and the Valley of the Vapors Independent Music Festival annually.
Start by finding the equilibrium position, so we have {4mgx}/{a} = mg giving us x = a/4, therefore the spring's length is 5a/4. Now the loss in EPE (and therefore gain in energy of the particle) between the bottom and the equilibrium position is clearly 4mg((a/4 + d)^2 , and then from the...
For my academic research project, I am studying the oscillatory of magnets attached to extension springs. And to have variety of data on different types of oscillation, I'll be using different spring constants as a variable. But in order to get the springs I need to know the dimensions of the...
Hello Forum,
After watching a video on how some insects can achieve amazing accelerations (hundreds of gs) by using their bodies like springs (instead of just using muscle generated forces to propel themselves), I started thinking about springs again and wanted to check some concepts and...
In deriving the ##k_{net}## of the given system, it is taken that the extension produced by both springs is equal but their force is different. Therefore ##(k_1+k_2)x=k_{net}x \implies k_1+k_2=k_{net}##.
In absence of pivot, an object rotates around an axis through COM and perpendicular to...
Through mechanics, potential energy is released by the controlled falling of a suspended mass. At an idling condition, a one tonne mass is allowed to slowly fall. The pushing force of that mass is used to maintain a set rpm of a flywheel. The flywheel shaft drives an electric generator.
At a...
I found the answer for the springs in parallel, but not for the ones in series. I believe I don't understand how the forces are interacting properly.
Here's a force diagram I drew. Everytime I try to make equations from this though my answer dosen't make sense. The mass m has a gravititoanl...
Hello guys,
I started as a R&D engineer in a furniture factory. The factory asked me to find an alternative material to the s-spring and turn it into a project. This material can also be produced and should be cheaper than spring steel. The S-spring is made of 1070 and 1090 spring steels. In...
This has never been covered in my lecture class before, and I can't find anything useful in my textbook. Considering I'm completely unfamiliar with this verbiage, I figured maybe if I google definitions of these terms I would be able to figure it out, but google doesn't have many definitions...
Note: wording is ambiguous so I assumed spring started from equilibrium, in which case it stretches as we go downslope. Final height (at lower point on slope) is 0.
Distance along slope = Distance the spring stretches = d= ##s_f## = ##2/cos{\theta}## =2.13
Height change = h = ##2 tan{\theta}##...
Ki + Ui = Kf + Uf
1/2)kx2 = (1/2)mvf2, but W = (1/2)mvf2 = F∆d, so
1/2)kx^2 = F∆d.
The solution says that I should just substitute v as d/t. But could anyone explain why my reasoning is wrong? Thanks.
(If this is in the wrong forum, please move it)
Here is the potential energy of a spring
Here is the strain energy function in elasticity
The look alike -- I like that.
If we want the force in the spring, we take the derivative of V with respect to the displacement and make the result...
Hi,
First of all, I'm not sure at all how to start this question. I found the eigenvectors in a previous question, but I'm not sure if I need it to solve this one.
I think I need to use the expression for the position and velocity.
##a_n = C_n cos (\omega_n t + \alpha_n)##
##v_n = -\omega_n...
a)What is the total energy in the system?
Only energy acting on the system assuming the track is level and there is no potential energy of the carts, is the potential energy of the spring.
Comes out to 7.8125 using the potential energy of a spring equation.
b) What are their velocities if the...
So first I find the energy using the eqn (1/2)kA^2. Since there are two springs with the same k I multiply it by two to get kA^2. Energy I get is 2.0475,
Now I use E=(1/2)m(wA)^2 to find mass. Again since there are two springs I use E=m(wA)^2.
m=E/(wA)^2. w=(2(pi))/T btw.
I get the answer of...
What I first did was setting the reference system on the left corner. Then, I said that the position of the mass ##m_2## is ##x_2##. I also supposed that the pendulum makes an angle ##\theta## with respect to the vertical axis ##y##. So the generalized coordinates of the system would be ##x_2##...
So first I found the total energy of the system by calculating the potential Energy, Ep=0.5k(l^2+l^2) and get 2.0475 (this part is right).
Then I find w using the period T=2pi/w, so w=2pi/1.21=5.1927
I also found the amplitude using E=1/2kA^2, so A=sqrt(2E/k)=0.212132
Now this is the part I...
Hi!.. As known, a certain amount of energy is applied for compressing a mechanical spring. Thus mechanical spring is charged with energy and it stores it as elastic-potential energy. But whole energy, applied for compressing spring, can not be converted into potential energy. The reason is...
Hello!
Springs are amazing devices: we take a straight piece of metal wire, we change its shape and get something that can compress or extended a finite length. We could not do that with the straight wire (too difficult to move atoms apart or close to each other in a significant way).
Why does...
In this post, I will describe, as best I have been able to determine, how a Western free reed works. As it is unlikely I will run into a physicist here who specializes in reeds, I will just ask people to speculate on the behavior of a reed given what you know about fluid dynamics or the...
I first calculated the speed of two blocks using angular speed, then find the centripetal force of them, but I don't know how to proceed my calculation, what value should I plug into Hooke's law?
We need to find the normal modes of this system:
Well, this system is a little easy to deal when we put it in a system and solve the system... That's not what i want to do, i want to try my direct matrix methods.
We have springs with stiffness k1,k2,k3,k4 respectively, and block mass m1, m2...
[Moved from technical forums, so no template]
Summary:: A rod of length l and mass m, pivoted at one end, is held by a spring at its midpoint and a spring at its far end, both pulling in opposite directions. The springs have spring constant k, and at equilibrium their pull is perpendicular to...
I need to find the differential equations for each mass. ##y_1## is the equilibrium position, and ##y_2## is the second equilibrium position for each mass.
I was thinking consider the next sistem:
\begin{eqnarray}
k\Delta y-mg&=&m\frac{d^2 y_2}{dt^2}
\\ -2k\Delta y_1 -k\Delta y_2 -2mg...
I was wondering which equation do springs obey better:
$$F=-kx$$
$$F=-k ln(x/x_0)$$
The first is Hooke's law, but the second comes when we consider the relative deformation instead of the absolute deformation. I am asking because I haven't seen any website stating the second equation, I just...
Hi,
So the question is to: derive the equations of motion for the following in terms of x1 and x2? The bar is assumed to be light and rigid.
(NB. I know I posted another vibrations problem earlier in which I tried to use an energy approach to get to the equations of motion. However, we haven't...
I know that you can get the answer through using Fs as 18 and solving for K, then subbing it into the equation for elastic energy. I was just wondering why another method wouldn't work.
I tried doing it using the concept that Work is an equal to the Change in Elastic Energy, therefore Ee=xF...
The formulas we have been given include Potential energy=mgh, Stored strain energy=(1/2)K(change in X)^2, , Kinetic energy=(1/2)mV^2, Work=F(change in d), Force=K(change in X). Not sure how exactly to answer the question.
Dear Community,
I just started to master Simscape Multibody and at the moment I'm trying to simulate mass on four springs. However, when I build parallel connections, the program writes an error, for obvious reasons, because the mass is tied to the spring, and when the spring moves, the mass...
I know that in parallel springs, x (the displacement of the spring) is the same for both springs. However, the forces resulting for each string are different. For springs in a series, x may be different, but the force is the same on each string. I got the answer b, seeing how the weight would...
No idea on this one - I know that the spring constant will divide by 3 but am unsure how this will affect the % and the absolute uncertainties. Completely stuck on the extension...
FIRST PICTURE
I have some doubts here because of the spring... I'll tell you what forces I've drawn. For ##A##, I drew the weight and the force applied by ##B## (the normal force) on the vertical axis; and the elastic force pointing to the right on the horizontal axis.
For ##B##, I drew the...
Suppose we have two different masses, m1m1 and m2m2 with each at the end of a massless rod of length ll, with each mass being attached to a separate spring of constant k such that both springs stem from the same point on the ceiling? What would be the Lagrangian of this system. I have tried...
I got the compression for the first one.
Second one, i am a bit confused. But i got ## x_2 = \frac{F}{2k} ##
In the third one, what will the compression be?
I have to get the ratio ## x_2 : x_3 ## . Then i will be able to get my answer.
Thanks.
Summary: is it possible to heat a coiled spring
If I had a spirally coiled spring like inserted pic, spiral coiled spring approx. 300mm dia and spring section +-12mm dia with +-1mm gauge wire, with a total length of spring approx. 4mtr-6mtr , is it possible to heat this with induction heating...
Hi,
I have a bottom plate resting on a table (see figure in attachment).
On top of this bottom plate is are series of springs and on top of it rests a top plate.
Between the bottom and top plate (inside the springs) is a seal to create a vacuum chamber.
Question: what is the total force acting...
Hi all, I have a problem that I've been grappling with for the past 2 hours.
I was confident at first that I found the correct solution, but when I tried to verify I didn't have a constant in my v(x) function.
Here is my attempt:
I appreciate your help kind internet strangers!
I was reading the difference in construction between a car clutch (dry, single plate) and a motorcycle clutch (wet, multiplate). I understand wet multiplate clutches do not have torsional springs in them.
How is the Engine vibration damped then?
Can we not use this same arrangement in a car?
Homework Statement
https://imgur.com/gallery/PQx8SmXHomework Equations
EPE (elastic potential energy) = 1/2kx^2
GPE (gravitational potential energy) = mgh
The Attempt at a Solution
my attempt, https://imgur.com/gallery/lJDhwqD
[/B]
I feel like I've made progress considering the quadratic...