Spring Definition and 999 Threads

There is a trampoline drawn here and a graph of the spring force vs height. I don't see why the spring force is decreasing at a decreasing rate with respect to height above trampoline. F= kx = k * h/sin(theta), letting theta be between the horizontal and the spring.

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...

Let's say you have two masses on either side of a spring. Mass 1 is connected to the end of a spring. The spring itself has no mass. Mass 2 is free in space. So you have: [M1]-[spring] [M2]So it's more descriptive, I'll name the variables like you might in programming. Let's define...

Because this problem is easier to understand with a picture, I'll just copy paste the original problem. There is no question about the validity of the solution. My question is about the statement in the solution "Consider the instant when the mass is moving vertically upward. In this instant the...

I first got the velocity of the combined mass with conservation of momentum and as it was in the mean position the velocity can be written as v = wA ( w= angular frequency , A = amplitude ) as we have to take it back to natural length i put A as the initial extension but i am getting a wrong ans...

The magnetic energy of a current carrying spring, with ##N## turns, length ##x## and cross sectional area ##A##, is $$E_m = \frac{\mu_0 N^2 I^2 A}{2x}$$The (negated) spatial derivative of this yields a quantity with dimensions of force,$$F = - \frac{dE_m}{dx} = \frac{\mu_0 N^2 I^2 A}{2x^2}$$How...

Let the length of the spring be ##x##, so that the extension in any given configuration is ##\delta = |x_0 - x|##. The magnetic flux through such a coil is $$\Phi = \frac{\mu_0 I N^2 A}{x}$$The fact that the coil is superconducting means that the flux linked will always remain constant even with...

I tried in this way: 1) Considering a reference axis oriented downwards: ##M_1:## ## -T + M_1g - k \frac{L_0}{2} = 0## ##T = M_1g - k \frac{L_0}{2} ## 2) ##M_2:## ##M_2g + k \frac{L_0}{2} = M_2 a## ## a = g + \frac{k}{M_2} \frac{L_0}{2} ## 3) ## M_2g \frac{L_0}{2} + \frac{1}{2} k...

I am not sure if i get the problem, but if i understand, we want to know the period of oscillations on a spring with length l/3. If is this the right interpretation, i would say that the stiffness of the new the spring is k/n, where k is the stiffness of the former spring. This based on the...

Genevieve the galah wants to test out her new creation - the Nifty Numbat Launcher. It consists of a large, ideal spring with equilibrium length l1 = 1.7 m and spring constant k=41 N/m. The spring rests upon a ramp of length l1 inclined at an angle β=30∘ to the horizontal. The spring is attached...

This is a problem very easy to deal with if we consider the effective spring constant, however, i want to avoid this solution, and see how to justify the period of this motion just by analyse the forces or the energy, what seems a little hard to me. First of all we would need to find the force...

This is my scope of the question, i could think to solve it by two steps, but before, let's give name to the things. X is positive down direction. X = 0 at the initial position o the platform Mass of the falling block is m1 Mass of the platform, m2 Spring constant k Δx is the initial stretched...

Question 1: I have used v= Aω*cos(ωt+δ) where A= 0.2 m, ω= π/3, t=1 and δ=0. Are the values right in this case? I am confused. Question 2: From question 1 I have got the value of V which is 9 m/s. By using v= ω√(A^2-x^2), I have got the value of x. Now, do I need to add it with 2.5(distance...

My solution: The distance between the block is x2-x1. x2'' = F/m2 - k(x2-x1)/m2 x1'' = k(x2-x1)/m1 x2''-x1'' = x''. x'' = F/m2 - kx(1/m1 + 1/m2) Being y = (1/m1 + 1/m2) That is> x = (lo - Fy/m2k)*cos(wt) + Fy/m2k xmin = lo xmáx = -lo + 2*F*y/(m2*k) = -lo + 2*m1*F/k(m1+m2) But the answer...

A homogeneous sphere of mass M and radius R is at rest on a rough horizontal plane with coefficient of static friction μ . A spring of elastic constant k, is connected to the rotation axis of the sphere illustrated in the figure. The center of mass of the sphere is positioned at rest so that...

I'm a relatively new entry into the world of electronics so my understanding of what is possible may not be an accurate one. In a nutshell, I would like to have a DC motor act as a torsional spring with some variable virtual spring constant (k). The motor, or "spring", would act against an...

Hello, I have a problem in which I know the constant of the spring,the maximum and minimun force that the spring does to the camand the rotational speed of the cam.I am asked to find the necessary mass to attach to the spring in the follower so the follower always stays in contact with the cam.I...

Ever since the switch to online learning, I have been having trouble with understanding the topics right out of the book. And so I am just not sure if I am ever doing anything right in physics. So far I have calculated the KE of both carts KE(A)=0.634 J and KE(B)=0.254 J. I am unsure how exactly...

I can easily do the second problem if only I knew the answer to the first. I am just not sure how I would go about figuring out if the spring has mass or not. And if it does, how would I calculate that mass?

1. How will the motion of M be? I assume wire S is inelastic so will M move downwards but not in straight line? (I mean M moves downwards but because the left side of pulley is connected to S, it will be static and the right side of pulley can go down along the extension of the spring so its...

Hi, I'm looking for help making a graph/model for evaluating the "bounce" of a mass behind a spring that collides with a wall. The setup would include one simple spring mass system that is attached to a wall, and another wall which is closer to the mass than the spring's free length. The mass is...

During an experiment, using Hooks law resulted in a spring constant of 7,8N/m while for the oscillation-method the constant was 8,6N/m. Could someone help me to clarify whay they differ and which vlsue is the correct one.

I require a small conical spring to open from its compressed pancake height of its wire diameter to a free length of 11mm > 0.2 seconds (20 milliseconds) The large end outer diameter = 7.80mm. The small end inner diameter must be greater than or equal to 2.75mm. The conical's spring's will be...

In detail, I came up with 424m for the stretched length of a spring in order to change the mass of an object by 10^-9kg which originally was 1 kg. Problem said, "is it feasible?" In my opinion, there is no spring that can be stretched for this long, so it is not feasible. However, I'm not sure...

Here is the diagram: I’ve only drawn the diagram and made equations for the sum of forces in the x-directions and y-directions: ##\sum F_{x}=(7 lbs)sin\beta+(8 lbs)sin\alpha=0## ##\sum F_{y}=(8 lbs)cos\alpha+(7 lbs)cos\beta-13 lbs=0##

This problem fascinated me in lower division physics. Find the 2-d equations of motion for a Slinky going down a flight of stairs (assuming the path of the slinky is planar; eg only going up and down and front and back, no side to side). I do confess that whilst I do love physics I’m not...

I know that from the given problem, I need to find the expression for Kinetic energy, KE = 1/2 m [r(dot)]^2 and Potential energy, PE = 1/2 k r^2 So L = 1/2 m [r(dot)]^2 - 1/2 k r^2 Hence H = 1/2 m [r(dot)]^2 + 1/2 k r^2 I assume that the fixed length r0 is provided to find the value of end...

f= kx = 150 n/m (.3m) = 45n Ug= 1/2 kx^2 = 1/2 (150) (.3)^2 = 75 (.09) = 6.75 j Ek= 1/2mv^2 6.75= 1/2 (.54) (v^2) 6.75= .27 (v^2) 25= v^2...

Hi All, I'm doing research in magnetic nanoparticles that are coated with chain molecules (oleic acid, I believe) and I am trying to model these molecules' effective spring constant. The basic scenario is this: When a water-based ferrofluid is evaporated, it leaves behind only dried...

Et1+w=Et2 1/2mv+w=1/2mv 0+150=1/2 (20) 300=(20)v 15=v I know this answer is wrong.

A mass (M) is attached to a spring (K). Mass moves in a one dimensional plane (horizontally) 1) If mass M is initially at x=0, what is the minimum Work required to bring it to x=x0 ? PE ? 2) M is released from x=x0, PE when x=xo/2 ? KE ? 3) PE when x=0 ? KE ? 4) PE when x=-x0/2 ? KE ? 5) What is...

Im not sure how to find k if I'm not given a force or period.

I first find the force of friction to be (2)(9.8)cos(65)(.22), then I find the pull of gravity to be (2)(9.8)sin(65). The full equation I set up to be: 0 = kx + force of friction minus the pull of gravity This gives me the wrong answer, 0.44 . My free-body diagram is that kx and force of...

I suppose spring compression to be X when jumpping from 1m. Therefore gravational potential mgh=760(1+X) and my cal:760(1+X)=0.5kX² why the solution manual state that 760=0.5kX²+760X

1. Draw Free body Diagram for each weight. 2. Solve for Tension in Rope. 3. Find Spring Constant. 4. Find omega (w, or angular velocity)

Hi guys, I am working on design where I am using a torsion spring. And I need make an analysis and see the deflection of the walls. How can I calculate the forces that applied from Spring's legs to walls. Thank you all in advance.

Hi folks, I have an interesting problem here from the real world, it's a design i am working on. So I have an object that is pressed by an hydraulic press with 50kN, let's call it F_before. Then I drive in a jig to fixate it. But the part that holds the jig has a limited stiffness. Hence if I...

I have attempted to draw a sketch of this but can't see how the data they gave me help to find time period This is what value I have ended up getting but I believe is wrong Much appreciated for any help!

I have a simple Fortran code for solving velocity and displacement of spring, the code works fine when writing all together without using a subroutine. but as I am learning Fortran I tried to do it using subroutine, but I keep getting errors appreciate any help in advance. program msd implicit...

Hi Guys, Forgive me, as it has been quite sometime since I have done my spring theory. The problem I am having is the following: This is the current situation: - In a steel block I have a pocket depth of 15mm - I have a compression spring with the following information: Outside diameter is...

I found the equations of motion as ##m\frac{\mathrm{d}^2x_1 }{\mathrm{d} t^2} = -\frac{mg}{l}x_1 + k(x_2-x_1)## and ##m\frac{\mathrm{d}^2x_2 }{\mathrm{d} t^2} = -\frac{mg}{l}x_2 + k(x_1-x_2)## I think the k matrix might be ##\begin{bmatrix} mg/l + k & -k \\ -k & mg/l + k \end{bmatrix}##...

Fnet=0 kx-mg=0 k=mg/x=0,25*9.8/0.2=12.25 But answer is 25(And they use 0.1 instead of 0.2 Why?)

This is a common homework problem and I did find a post here that talks about it, but that post was closed to comments, so I am reproducing it to be able to ask a question. We are, apparently, according to solutions I have found, supposed to recognize that it is an inelastic collision, since...

I honestly have no idea why I'm getting this question wrong, because it seems fairly straightforward. I thought that treating the two blocks as one object would work, so 5 + 3 = 8. With Fg = Fs, ma = kx. Then, 8 x 9.8/1300 = x. x would be 0.06. That's been marked as an incorrect answer, though...

I found the amplitude of the simple harmonic motion that results (0.367, and I know this is correct because I entered it and it was marked as a correct answer), and assumed it would be the same value for the maximum compression since x(t) = Acos(wt). And, since the maximum value of cosine is 1...

Using conservation of energy, 0.5kx^2=mgh=mgx 0.5kx=mg 0.5kx=mg, x=0.15, m=9, g= 9.8 So isn't it k= 1176N/m? For this problem, I understand that you can't use conservation of energy, but why? There is gravitational potential energy at the top and spring elastic energy at the bottom, and no...

Hello everyone, First of all a very happy new year to everyone! And a big thank you to all the people who contribute to this forum, I have learned so much from here. I am prototyping a design for a part that will be used in a consumer product. I am in the early stages of researching...

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Hello, I am new on this forum, so if I make any mistakes please inform me. Thank you. I wonder why I cannot use forces instead of energy conservation in this question. The question is: "How far (x = L) does the spring stretch before the masses stop moving? Express your answer in terms of m, k...