I think this is in the right section, sorry if it's not. First off, I'll apologize again for not knowing any terminology dealing with springs so I hope you understand what I'm wanting from you. Which is, say you have a circular compression spring that can hold 2 lbs without moving, what amount...
Finding the given spring constant
Homework Statement
Consider the system represented on the figure, constituted by the mass m and two springs of constant k1 and k2.
(The image is attached)
Prove that:
\frac{1}{K_{eff}} = \frac{1}{k_{1}} + \frac{1}{k_{2}}
Homework Equations
F =...
I’m looking for an information source on the energy storage density of coiled springs made of various materials. Of particular interest are steel, titanium, carbon fiber, and carbon nanotubes.
I have a static spring system with 3 springs holding 2 masses in place I have the spring stiffnesses (K1=1N/m k2=3N/m k3=2N/m) and natural lengths (L1=3m L2=1m L3=2m) and the total length of the compressed springs (x1+x2+x3=4m)
I know that I derive simultanious equations and use the iterative...
Homework Statement
I have a static spring system with 3 springs holding 2 masses in place I have the spring stiffnesses (K1=1N/m k2=3N/m k3=2N/m) and natural lengths (L1=3m L2=1m L3=2m) and the total length of the compressed springs (x1+x2+x3=4m)
Homework Equations
1/K(total) =1/K1 +...
A compact car has a mass of 1050 kg. Assume that the car has one spring on each wheel, that the springs are identical, and that the mass is equally distributed over the four springs.
(a) What is the spring constant of each spring if the empty car bounces up and down 2.0 times each second...
Homework Statement
A 4.0 kg block slides along a frictionless horizontal surface at 5.0 m/s. It runs into and compresses a spring with a spring constant of 200 N/m. How far does it compress the spring before it stops and changes direction?
Homework Equations
P.E. = 0.5 kx^2
K.E. = 0.5...
Homework Statement
A stone of mass m is at rest on a vertical spring which is compressed a distance x. Find its spring constant k.
All variables are given in the problem.
Homework Equations
I solved this problem realizing that because the mass is at equilibrium, the sum of the...
A question:Simple harmonic motion
http://capa2.cc.huji.ac.il/res/msu/physicslib/msuphysicslib/09_Force_and_Motion/graphics/prob07_twospring.gif1.[/URL] Homework Statement
Two springs with spring constants k1=29.7 N/m and k2=20.7 N/m are connected as shown in the figure:
Find the...
Homework Statement
A spring of constant 18 N/cm is compressed a distance 7cm by a 0.5 kg mass, then released. It skids over a frictional surface of length 1.6m with coefficient of friction 0.17, then compresses the second spring of constant 5 N/cm. the acceleration of gravity is 9.8m/s^2...
Homework Statement
A freight car loaded with ore is sitting on a 5o incline when its brakes fail. After traveling 150 m on a frictionless track, it reaches level ground where it strikes a massive safety spring with a spring constant k = 18,500 N/m. When its velocity has decreased to zero, an...
1. A mass attached to the lower end of a vertical spring causes the spring to extend by 25 mm to its equilibrium position. The mass is then displaced a further 20 mm and released. A trace of the vibration and time measurements are taken. From these measurements it can be seen that the...
Hello, I am a having a problem finding the solution of the follow:
3 equal masses are connected by springs in a circle, and are confined to move in the circle. Find the eigenvalues and eigenvectors of the system.
I'm really at a bit of a loss here, I don't know whether you begin by...
Homework Statement
I am trying to derive the effective spring constant of two springs, with different spring constants, in series. I know the equation is everyone online, so the effective spring constant is k1k2/k1+k2.
So the question is, when deriving it, the force exerted on each spring...
Homework Statement
How do we calculate the effective spring constant of springs in parallel, where the springs have different spring constants and different stretch distances (because the original lengths of the springs are different).Homework Equations
Hooke's Law --> Fx = kx
The Attempt at...
Warning: I have a minor grasp of physics...
I am devising a study looking at the tension required in a surgical prosthesis (which is essentially a length of nylon with 80LB breaking strain) to produce stability between 2 bones.
The nylon will be placed in a simple loop between 2 structures and...
Homework Statement
A block of mass m lies on a rough surface, inclined at angle theta to the horizontal. It is attached to a spring of force constant; the other end of the spring is fixed to a point on the table below the inclined block. The co-eff of static friction is mu-s and kinetic...
Homework Statement
An 80.0-kg man jumps from a height of 2.50 m onto a platform mounted on springs. As the springs compress, he pushes the platform down a maximum distance of 0.240 m below its initial position, and then it rebounds. The platform and springs have negligible mass.
What is the...
Homework Statement
A small block is launched on the fricntionless loop the loop shown. te sprink launcher has a sprink constant k
a)find the velocity at the top of the loop as a function of the displacement x of the spring launcher from its equilibrium length
b)find the minimum...
Homework Statement
You have been asked to design a "ballistic spring system" to measure the speed of bullets. A spring whose spring constant is k is suspended from the ceiling. A block of mass M hangs from the spring. A bullet of mass m is fired vertically upward into the bottom of the block...
Homework Statement
An ideal spring is suspended from a ceiling with a wombat attached to the end. The wombat is slowly lowered until the upward force exerted by the spring on the wombat balances the weight of the wombat. Show that the loss of gravitational potential energy equals twice the gain...
Two objects with DIFFERENT MASSES are launched vertically into the air by identical springs. The two springs are compressed by the same distance before launching. Which of the following statements is or are true? (NOTE: THERE MAY BE MORE THAN ONE TRUE STATEMENT).
A) Both masses reach the same...
Homework Statement
A horizontal k=200N/m spring is compressed 80cm. A 10kg mass is palced at the of of the spring on a u(mew)=0.15 surface. The mass leaves the spring at the equilibrium (x=0) point with 3.23m/s. Find the total distance (starting from rest) traveled by the mass. (Answer=...
A particle of mass m is attached to one end of an elastic spring of natural length l and modulous lambda ..The particle and spring rest on a rough horizontal surface and the other end of the spring is fixed..Th coefficient of friction is mu .the particle is held at rest with the spring...
Homework Statement
"A certain spring with the mass of 10kg oscillates with a period of 10 seconds on the earth. What would be its period on a small moon, where the gravity is 1/16 as strong as on the earth?"
Homework Equations
I'm thinking I have to use the equation...
Homework Statement
Let's say you are given 10 identical springs. How would you develop a scale of force (i.e., a means of producing repeatable forces of variety of sizes) using these springs?
Homework Equations
None that I can think of.
The Attempt at a Solution
My guess is that...
Homework Statement
A particle (4m) is suspended from a fixed point by a spring of stiffness k and natural length l0. An identical 2nd spring is attached to this particle, and a mass (3m) is attached to its end. The system hangs vertically in equilibrium.
Take the datuim of P.E. a in each...
For the design of a cantilever, assuming a Hookean material is used below its proportionality limit, stress will be proportional to strain. From this we can conclude that its behavior will be linear.
However, how can we apply this knowledge towards helical springs? Is it possible to design a...
Homework Statement
A train of total mass 1.02x10^5 kg strikes a buffer that behaves like a spring of stiffness 320kN/m with an initial velocity of 0.15m/s
Calculate the maximum compression of the spring.
Homework Equations
P=mv
The Attempt at a Solution
P=mv
= 15300kgm/s...
Homework Statement
Your niece is working on a unique science fair project - a clock built around a small mass vibrating on a little spring. Her prototype version is working ok, but it's running too slow. Given your experience in this course, you suggest to her that a stiffer spring should...
Homework Statement
A mass m is dropped from a height H onto a hard, flat surface. When it collides with the surface, it rebounds with the same speed it had before the collision. However, there is a constant force of air resistance f acting on the mass as it undergoes this motion. Answer the...
Homework Statement
"Two light springs have spring constants k1 and k2, respectively, and are used
in a vertical orientation to support an object of mass m. Show that the angular
frequency of small amplitude oscillations about the equilibrium state is
[(k1 + k2)/m]^1/2 if the springs are...
Homework Statement
http://img529.imageshack.us/img529/3814/hookes.jpg
Assuming spring constant for system A (left) is k
Then system B (middle) is k/2 and system C (right) is 2k
http://img15.imageshack.us/img15/7238/87792676.jpg
How about this system? Thanks for helping...
Homework Statement
When a spring (with spring constant k)and length L is cut into 2 identical parts,determine the new spring constant of the springs
Homework Equations
F=-kx
The Attempt at a Solution
I only know the spring constant is a measure of the stiffness of a spring and (I...
Homework Statement
2. Two helical springs of the same initial length are made from the same circular section wire and have the same number of coils. They are assembled co-axially and are compressed between two parallel plates by a force of 450 N. The mean coil diameters of the outer and inner...
Homework Statement
Three springs, A (spring constant k), B (spring constant 2k) and C (spring constant 4k) are serially joined and are vertically hanged from a ceiling with spring A at the top, spring B in the middle & spring C at the bottom. All three have the same relaxed length of L. The...
Homework Statement
An automobile can be considered to be mounted on four identical springs as far as vertical oscillations are concerned. The springs of a certain car are adjusted so that the oscillations have a frequency of 3 Hz.
(a) What is the spring constant of each spring if the mass of...
Hallo,
I'm looking for explanation for the fact that in many diesel engines we have two springs supporting the piston valves such that one is exterior and the other interior and they have opposite helical direction. Also if anyone have a link or any information it would be very helpful.
Homework Statement
Hallo,
I hope my question is not in engineering topic… I have a mechanical problem in which I have a system with two different springs pressed by external force F and identical system except the smaller springs have an opposite helical direction. Does the helical...
I would like to make some custom made extension springs out of music wire. Can anyone provide the formula's to determine the wire thickness, coil diameter and coil length to achieve a desired spring constant?
The motivation is that I need some small springs in my research and it is difficult...
Let's say there's a lab where one hangs weights off a spring, and graphs the length and weight to find the spring constant.
Graphs have the independent variable--weight in this case--on the x axis, and the dependent variable--length--on the y axis. So, by that method, the graph should be...
I apologize if this is a silly question, but i swear it is not a homework assignment (or, it may be to someone somewhere, but that is no the reason i am interested in it).
If you have a number of pins suspended through vertical platters such that they just touch, they will exhibit the...
Homework Statement
Create a boundary between two media by attaching a slinky to a coiled spring. Send pulses from one medium to the other.
Homework Equations
Describe what happens in both directions in term of speed, wavelength, frequency, and amplitude.
The Attempt at a Solution...
So I am trying to follow along this example in the text to find keq of the system.
I can follow everything up until the point that they say: "It follows that x=2(x1+x2)
where:
x = displacement of mass
x1 =displacement of Pulley1cm
x2 =displacement of Pulley2cm
I am not...
Homework Statement
Using experimental values for mass and period of oscillations, I'm trying to graph period^{2} (y-axis) against mass (x-axis) to get a gradient = 4(pi^{2})/k so I can find k (spring constant).
The problem is that when I use each pair of results in the equation below, I...
Homework Statement
Ok sorry for the horrible drawing i freehanded it on paint.
The 5lb collar is released from rest at A and travels along the smooth guide. Determine the speed of the collar just before it strikes the stop at B. The spring has an unstretched length of 12in. k=2 lb/in...
From "Differential Equations" 3rd Edition, Blanchard/Devaney/Hall
Section 2.3, Question #13
I have the final answer from the text, as well as my Professors take (class has 7 people).
Looking for a more thorough explanation. Work has already been graded, but I still don't get it completely...
Homework Statement
You are designing a delivery ramp for crates containing exercise equipment. The crates weighing 1470 N will move at a speed of 1.80 m/s at the top of a ramp that slopes downward at an angle 25.0. The ramp exerts a kinetic friction force of 540 N on each crate, and the...
Homework Statement
A spring of negligible mass and spring constant k, hanging vertically with one end at a fixed point O, supports a mass m, and beneath it as second, identical spring carrying a second, identical mass.
Using a generalised coordinates the vertical displacements x and y of...
Homework Statement
A mass M is connected between 2 stretched springs, as shown. The equilibrium length of each spring is L, they are stretched to twice this length when m is in equilibrium. Consider the oscillations in the + and - x direction as shown in the figure...