Springs Definition and 651 Threads

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...

Homework Statement A uniform rod of mass M, and length L swings as a pendulum with two horizontal springs of negligible mass and constants k1 and k2 at the bottom end as shown in the figure. Both springs are relaxed when the when the rod is vertical. What is the period T of small oscillations...

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...

Hi all, If two springs with the same stiffness rate but different lengths are connected together one inside the other so that at equilibrium one is in tension and the other is in compression how will the whole system behave if an external force is applied?

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...

Hello! I have to build a robotic arm and I want to use servo motors but the problem is that the strong servos with high torque are quite expensive. So, my question is, can I use springs to reduce the torque required?

I'm having trouble understanding the forces involved when defining the equation of motion for this particular problem. So... I've seen the answer for the eq. of motion worked two different ways. The first way involves combining the spring series into Keq = K1⋅K2/(K1+K2). The answer, plugging...

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

Homework Statement f Homework Equations Hooke's Law: F = -kx Series spring combinations: ##\frac{1}{k_{eq}} = \frac{1}{k_1}+\frac{1}{k_2}## Parallel spring combinations: ##k_{eq} = k_1+k_2## The Attempt at a Solution The slope of 1 is ##\frac{4}{5}## and the slope of 2 is ##\frac{3}{2}## I...

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 Homework Equations T = 2 * pi * (m / k)^(1/2) The Attempt at a Solution I was thinking of treating both springs as a single system and adding their constants to be 3k (90 N/m), would this thought be incorrect?

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...

I'm looking at what should be just a simple spring system where four identical springs are holding up a square, load-bearing pallet plate in a warehouse. Now, someone says the equation of motion for the vertical normal mode of vibration is simply d2z/dt2 = -4(k/m)z. Right away however, I see no...

Homework Statement A spring of mass “m” is put on a launcher elevated at “θ” degrees above the horizontal. It is pull back a distance “x” and launched at a target that must travel vertically “dy“ and a horizontal distance of “dx”. The spring has a constant of “k”.Derive an equation (or series...

I have been searching but I have not been able to find the information I am looking for. I want to build a "floating table" that is supported by one or more compression springs. When an object is added the table will lower by just a bit. As another object is stacked on top of the first one...

Hello all, I'm working on a DIY project, I know I need to use pneumatic springs because it allows me to be flexible with the spring rates, but I forgot quite a bit about compressible air, and from what I remember, in my courses we mostly dealt with compressible air for aerodynamics, and skipped...

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...

1. Homework Statement The following problem is an example from the book ' Berkely - Waves by Frank S. Crawford Jr '. Mass 'M' slides on a frictionless surface. It is connected to rigid walls by means of two identical springs, each of which has zero mass, spring constant 'K' and relaxed length...

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...

Homework Statement Homework EquationsThe Attempt at a Solution Length of the unstretched springs is L .Suppose block is pushed towards C by a small distance x . This causes a change in length of springs B and C . Their new length is L+∆L .Consider spring B. If the new length makes a small...

I have a spring with mass M attached, and leave it at equilibrium. Then I displace it some more by stretching it down a bit more. Displacement due to the mass= X, displacement due to stretching it even more=Y. Why isn't the amplitude of oscillation= X+Y, but is only actually only Y? This is...

Homework Statement A spring with an elastic constant of 120 N/m is compressed 0.2 m, then launches a block of mass 0.5 kg on a table with friction 0.49, and it travels 0.9 m before stopping. If the block is then released at the edge of a table top 1.2 m above the ground, how far will the block...

Suppose we are asked to find the time period of vertical oscillations of this system. Then should we find the component of displacement along each spring and then add the forces by vector method or should we simplify the diagram into series and parallel connection like in electrical circuits and...

Homework Statement The spring in the figure (Figure 1) is compressed by length Δx. It launches the block across a frictionless surface with speed v0. The two springs in the figure (Figure 2) are identical to the spring of figure 1. They are compressed by the same length Δx and used to launch...

Let us say there are two springs each of mass m and each having a spring constant k. If the two springs are connected in parallel to a mass M and are made to oscillate, what will be the time period of oscillations??

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...

Hello Please why the mass m3 does not fall?

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...

Homework Statement The angle at the bottom is 25 degrees Homework Equations Springs Parallel; keq = k1 +k2 Sum Forces = f1 + f2 x = f1/k1 = f2/k2 Springs Series; 1/keq = 1/k1 + 1/k2 Sum x = x1 +x2 F = k1x1 =k2x2The Attempt at a Solution Basically I'm having trouble finding the spring...

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?

Wonder if anyone on the forum lives in this region and felt it ? M 5.3 - 17km E of Soda Springs, Idaho Time: 2017-09-02 23:56:52 (UTC) Location: 42.624°N 111.391°W Depth: 9.2 km Dave

Homework Statement Homework EquationsThe Attempt at a Solution Let's take that in equilibrium, both springs S_l and S_r are elongated by ##x_e##. Assuming that the oscillations are so small that the springs could be taken along x- axis approximately. At time t, S_l is elongated by x. The rod...

Homework Statement A solid cylinder of mass, M, is connected to two springs of total stiffness, k. The springs are connected tangentially (on top) to the cylinder. The other ends of the springs are attached to walls. What is the period of oscillation of the cylinder assuming that it does not...

Homework Statement Two blocks are connected with a massless, non-stretchable rope, and connected to a spring that is fixed to a wall. One of the blocks is hanging from the side of the table, while the other lies on the table. The mass of each block is m=1.0 kg, spring stiffness is k=50 N/m...

Homework Statement A mass ##m## hangs from a combination of two springs, each with spring constant ##k##, connected in series. If the mass is doubled to ##2m## the mass will hang lower by a distance ##h##. If three such springs are arranged in parallel to support a mass of ##5m## what will be...

The figure below shows a system in equillibrium. The pulley and the springs (both with constants "k") are ideal. The period of oscillation of the mass A is given by: Relevant equations: F = -kx (SHM) I tried to do a "force diagram" and set up some geometric relations but it´s not working.

Hi! I am trying to solve a textbook problem without any success. Fortunately, I found someone that solved it but there is one step that I don't get. Here is a figure showing the problem : https://ibb.co/koatCa First, we have (I get this part since I found a similar use of it in the book)...

Homework Statement I want to find the angular frequency of the system below Homework Equations F = -kx U = 1/2*k*x^2 The Attempt at a Solution But here's the answer: I don't know how come this solution. Any one help me? Thank you so much.

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...

I'm trying to design some novel cross bow designs and also trebuchet's with the trebuchet (similar to catapults to those who don't know) using springs or a combination of weight and springs. I'm looking into using linear springs and pullies for the crossbow depending on whether they can be...

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...

Consider a mass m with a prestressed pull spring on either end, each attached to a wall. Let k1 and k2 be the pull spring constants of the springs. A displacement of the mass by a distance x results in the first spring k1 lengthening by a distance x(and pulling in the - direction), while the...

Homework Statement Homework EquationsThe Attempt at a Solution [/B] I'm having trouble visualizing what is going on in this problem. I imagine that the box is in a position like this with a spring on each end of the box. Then a force F is applied that compresses the springs. What I'm...

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...