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.
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...
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 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.
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!
Homework Statement
https://imgur.com/gallery/PQx8SmX
Homework 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 ive made progress considering the...
Homework Statement
When four people with a combined mass of 325 kg sit down in a 2000-kg car, they find that their weight compresses the springs an additional 0.55 cm.
A) What is the effective force constant of the springs?
B) The four people get out of the car and bounce it up and down. What...
Homework Statement
Two masses (M1 and M2) are connected together by 3 springs. The spring constants are k1, k2, k3. Block 1 is at equilibrium at x=0. Block 2 is at equilibrium at x=1. Determine a function for the force on the blocks.
Homework Equations
The Attempt at a Solution
[/B]
Without...
Consider a spring balance with no initial deflection. Let an object of mass 'm' be attached to it. We allow the spring to come into equlibrium, and 'd' is the deflection at this eqb position. We add another object of mass 'M', while m is also present, so that the final position is x, and hence...
Hey,
What is the difference between an entropic spring and a Hooke's spring?
What is the Young's modulus relationship with temperature in each case?
Thank you
Dear Forum,
Please advice. I have a project where I'll be implementing a device that helps with Bicep Curls, adding resistance to it. So I have an idea with 2 pieces of guards, one on the forearm and one on the biceps, it will be conjoined through a latch in the middle which will rest in...
Homework Statement
The attached image.
Homework Equations
Momentum conservation
Conservation of mechanical energy
The Attempt at a Solution
I tried conserving momentum,
##P=mv_{1} + Mv_{2}##
and then conserving M.E.,
P^2/(2m)=1/2##mv_1{1}^2## + 1/2##Mv_{2}^2##
After that I can't seem to...
For my Engineering class I have to work with three other people to design a device that launchers a disc golf. So far we have a basic design plan but we are unsure if it is actually viable.
Essentially there will be a platform that holds the disc in place and will be propelled by 2 to 4...
Hello!
First of all, my field is not Mechanical Engineering but Nanotechnology so I apologize if I use very basic terms.
I am currently working on the design of an in-plane optical MEMS accelerometer. The idea is: a waveguide is built within the structure so that when the MEMS is accelerated...
Homework Statement
Homework Equations
f = Spring's constant * ##\Delta x##
Potential Energy = ##\frac{1}{2} kx^2##
The Attempt at a Solution
I try to find constant of the springs
Fabove + Fbelow - W = 0
k*(0,2 m) + k*(0,2m) - ##\frac{1}{2}## * 9,8 = 0
0,4k = 4,9
k = 12,25 N/m
can I use...
Am I thinking about this problem correctly?
"A block is attached to a horizontal spring and oscillates back and forth on a frictionless horizontal surface at a frequency of 3 Hz. The amplitude of the motion is 5.08 x 10-2 m. At the point where the block has its maximum speed, it suddenly splits...
Homework Statement
An object with a mass of 6kg falls 1.8m onto a spring with a spring constant of 2x10^3 N/m. At that instant, the velocity of the object is 4m/s. What is the compression of the spring and the max displacements of the spring.
m = 6kg
v = 4m/s
h = 1.8m
k = 2x10^3N/m
Homework...
Homework Statement
Two linear springs with stiffness Kh, Kv are attached to a single mass m at right angle to each other, i.e; one of the spring(Kh) is in the horizontal direction(x-axis) and the other(Kv) is in the vertical direction(y-axis).
A constant force F is being applied to the mass...
ANKIT SAJWAN
Thread
free body diagram
mass
mechanic
springs
static equilibrium
An object only undergoes an oscillation when I act on it. If I push a spring, it will have a certain frequency, and if I push a different way, it will have a different one. What is meant by natural frequency? What is meant by resonance?
Hi,
Is there anything like adjustable torsion spring, even if it is non-helical spring based (such as say hydraulic or pneumatic). As in you can change their stiffness/spring rate?
I know that there are so many videos on adjustable springs on garage doors but I think all they do is adjust...
Homework Statement
A spring of negligible mass exerts a restoring force on a point mass M given by F(x)= (-k1x)+(k2x^2) where k1 and k2 >0. Calculate the potential energy U(x) stored in the spring for a displacement x. Take U=0 at x=0.
Homework Equations
ΔU=∫F(x)dx
U=½kx^2
The Attempt at a...
So I am doing tensile testing on an elastic electrical lead for biomedical purposes. The lead is encapsulated in an elastic tubing. Now the lead acts like a weak spring itself (coiled wire).
I'm curious, if there are two springs with different k constants "within" each-other (one inside the...
Homework Statement
Masses A and B, each having a mass of 32.2 slugs, are constrained to move in frictionless slots. They are connected by a rigid, massless rod of length L = 2 ft. Mass B is connected to two massless linear springs, each having a spring constant k = 60 lbF / ft. The springs are...
Homework Statement
The system is a spring with constant 3k hanging from a ceiling with a mass m attached to it, then attached to that mass another spring with constant 2k and another mass m attached to that.
So spring -> mass -> spring ->mass.
Find the normal modes and characteristic system...
I have been having trouble getting the calculation of energy for a chain of coupled oscillators to come out correctly. The program was run in Matlab and is intended to calculate the energy of a system of connected Hooke's law oscillators. Right now there is only stiffness and no dampening...
Homework Statement
I've been looking at examples of motion derivations for my class, and it's honestly just very confusing. I heard Dynamics should prep you for this but I must have had a very poor course because we never had to understand geometry and physics to this degree...
Homework...
Homework Statement
Homework Equations
d/dx
The Attempt at a Solution
d/dx (T) = d/dx(1/2mx'2) = mx''
d/dx(U) = d/dx(1/2kx2) = kx' ≠ kx
It's probably me who made an error because I know that that equation (2.3) is the one I should be getting, but I don't understand how they did it because...
Homework Statement
Cylinder A (mass = 5kg) is released from rest at a height h =100mm above a spring of stiffness k = 1.8 kN/m. Determine, (i) the maximum compression of the spring, (ii) the spring deflection when the cylinder’s velocity is a maximum, and, (iii) the maximum velocity of the...