Spring Definition and 999 Threads

Homework Statement "Take a PE function U(x), which has an equilibrium point at x=0, and provides a restoring force in that region, and show that a Taylor expansion around that area can be approximated by a SHO PE function for small x." Homework Equations U=.5kx^2...x =...

Homework Statement A block of mass ##M = 1 kg## is placed of a fixed rough incline of inclination ##\theta=sin^{-1} \frac{7}{10}## and coefficient of friction ##\mu=\frac{1}{\sqrt{51}}##. It is connected to a spring of spring constant 100 N/m. Initially the spring is in natural state with...

Homework Statement A block weighing 9.81N oscillates on a plane inclined of 60 degrees attached to a spring whose constant point is k=100N/m and the length is to equilibrium l0 = 0.6 m. While the block goes to the top losing speed , a timer is started ( to t0 = 0) when the block passes through...

The problem is attached.

why we assume that velocity decreases linearly in a spring (i.e. if one end is fixed, then velocity of a particle (of spring) at x from fixed =vx/l where v is the velocity of the free end) and why does it hold good too when the spring (linear mass density) is non uniform... EDIT: spring has...

I'm doing a lab where we use three strings connected to a ring, with each string attached to separate spring scales. What would be sources of error in this? And how does friction affect my results?

This is just a quick question. I'm planning out my course schedule for next semester and my senior year (I'm an electrical engineering junior in the US), and I'm trying to work all of my important classes in before it's time to apply to graduate school. Let's say I want to do research in a...

Homework Statement EDIT: This is a 2D problem, so all of my ##x## variables should be vectors. I just realized this and it may answer my question, I don't know yet though. Two masses, ##m_1## and ##m_2## are connected by a massless spring of spring constant ##k##. The spring is at it's...

Hello, I've recently came across this video (), where the authors use a motor to compress springs and therefore achieve locomotion. I've been thinking why is there a resulting downward net force. But i can't really figure it out. Thank you for time :) See the video from 1.16 minutes and...

Let's say I have a mass attached to an oscillating spring on a friction less horizontal surface. Why is it that the speed of the mass is greatest at equilibrium? I would have thought it would be greatest just before reaching the amplitudes due to maximum kinetic energy?

Hi fellow physicists, Suppose a spring with a stiffness k, is attached to wall and with the other side a block with a mass, m, a force F, then pulls the block away from the wall. How do you derive a function for acceleration of the block as a function of time, a(t)? When trying to solve this I...

Homework Statement Homework Equations Force of attraction between the plates = (1/2)(QV)/d The Attempt at a Solution Initial charge on the capacitor Q1=CV Final charge on the capacitor Q2=2CV When switch is open force between the plates F1 = (1/2)(Q1V)/d1 = (1/2)(CV2)/d1 When switch...

Hi guys. It could be an easy question but I started at the deepest. I wonder how it works like a car suspension system. How does damper work with spring? What is the difference between forced-nonforced systems? Why do we calculate frequency of spring? What does it provide us? What is the point...

Homework Statement Two blocks sitting on a frictionless horizontal surface are connected by a light spring. The natural length of the spring is ##d##, and the spring constant is ##k##. The two objects are initially both at rest, with the spring neither stretched nor compressed. At time ##t =...

Homework Statement A block of mass m is attached to a spring with a force constant k, as in the above diagram. Initially, the spring is compressed a distance x from the equilibrium and the block is held at rest. Another block, of mass 2m, is placed a distance x/2 from the equilibrium as...

Well, my request is for international undergraduate programs (phys&math) with timing not more than 4 months between application deadline and the start of studying in university. Help, cause I don't see one

Homework Statement A block of mass m is attached to a spring with a force constant k, as in the above diagram. Initially, the spring is compressed a distance x from the equilibrium and the block is held at rest. Another block, of mass 2m, is placed a distance x/2 from the equilibrium as...

Homework Statement A system consists of two blocks, of masses m and 2m, attached to the ends of a massless spring with a force constant k. The system is placed on a horizontal frictionless surface. Initially, the spring is relaxed. The blocks are then pulled apart an “extra” distance x and...

Homework Statement : [/B]I asked a question on this topic before, but I want to make sure I know the material well. So, I looked up another question similar to it (and a little more complex) to check my understanding. Here is the practice problem: A board with mass M, when placed into a coil...

Homework Statement Problem: [/B] Given the mass spring system solve for k1 The natural frequency wn = 10 s-1 k1=2k2 m=1kg Homework Equations wn=(k/m).5 The Attempt at a Solution solve for k1 m x w2n =2.5k1 k1 = 40 N/mNote: I calculate 40 N/m and the solution states 250 N/m. I think I...

Homework Statement : [/B]I'm curious to know why and how one would account for the force of a falling object dropped from a height. If I apply Newton's 2nd Law, force is only dependent on acceleration. So in a straight vertical drop, this acceleration is only gravity. But is it not that a...

I take a spring and expend work to compress it with my fingers thereby increasing the potential energy of the spring. After it is at its final compressed state, am I doing work?

Homework Statement Homework EquationsThe Attempt at a Solution any help would be appreciated! I keep trying and just keep getting stuck really early on.

A venture airvalve is a mechanical device which for a given valve position results in a constant flow independent of inlet pressure (within a given range). If pressure increases, flow increases resulting in a low pressure in the throat of the venture which sucks the plunger in thereby reducing...

Homework Statement In image below Homework Equations Fs=-kx The Attempt at a Solution In image below This question might be amateurish Why does my answer equate to negative angular frequency when the given result is positive? [/B]

Homework Statement A 0.60kg cart moving at 5.0m/s[W] collides with a 0.80kg cart moving at 2.0m/s[E]. The collision is cushioned by a spring(k=1200N/m). Homework Equations [W] is Positive PTo=PTf ETo=ETf The Attempt at a Solution PTo=PTf m1v1o+m2v2o=(m1+m2)vf...

Homework Statement A spring scale hung from the ceiling stretches by 6.3 cm when a 1.2 kg mass is hung from it. The 1.2 kg mass is removed and replaced with a 1.4 kg mass. What is the stretch of the spring? F=mg U (spring force) = 1/2kx^2 Homework Equations The units of cm need to be...

When we compress a spring attached to a wall, the wall also exerts the same force as we do, otherwise the spring would accelerate (which it doesn't). So does that mean the wall compresses the spring? If not, why? If yes, then why do we have compression of x (done by us) only?

A particle that hangs from a spring oscillates with an angular frequency of 2 rad/s. The spring is suspended from the ceiling of an elevator car and hangs motionless (relative to the car) as the car descends at a constant speed of 1.5 m/s. The car then suddenly stops. Neglect the mass of the...

Prove that the maximum speed (Vmax) of a mass on a spring is given by 2πfA. I have no idea how to solve this problem. I have not taken calculus yet, and I am really confused on how to come up with a solution for this. Any help would be appreciated. Thanks

Homework Statement The cable of the 2000 kg elevator cab in the figure snaps when the cab is at rest at the first floor, where the cab bottom is a distance d = 2.8 m above a spring of spring constant k = 0.30 MN/m. A safety device clamps the cab against guide rails so that a constant frictional...

Homework Statement In the figure, a block of mass m = 15 kg is released from rest on a frictionless incline of angle θ = 26°. Below the block is a spring that can be compressed 3.1 cm by a force of 380 N. The block momentarily stops when it compresses the spring by 4.0 cm. (a) How far does the...

Homework Statement A block with mass m = 2.66 kg is placed against a spring on a frictionless incline with angle θ = 37.0° (see the figure). (The block is not attached to the spring.) The spring, with spring constant k = 14 N/cm, is compressed 19.1 cm and then released. (a) What is the elastic...

Homework Statement A projectile of mass m is shot (with velocity v) at target of mass M which has a hole containing a spring inside (with constant spring constant K), and the projectile hits the spring. The target is initially at rest, and can slide without friction on a horizontal surface (see...

Homework Statement The block in the figurelies on a horizontal frictionless surface, and the spring constant is 44 N/m. Initially, the spring is at its relaxed length and the block is stationary at position x = 0. Then an applied force with a constant magnitude of 2.0 N pulls the block in the...

Homework Statement If I have a spring that repeats its motion in T0 =2s, and its x coordinate is given by x=00.4*Cos(ω0t + φ). If I wanted the velocity at, let's say t=1/2s, I would just take the derivative of x and plug in t.My question is, what other ways can I use to find V at t = 1/2s...

I'm redesigning a small, U-shaped spring clip, similar in shape to this: To make it fit, I had to increase the radii in the corners from the original design, so I need to validate that it will still have sufficient spring rate/clamp force for our application. I'm trying to figure out how I...

Homework Statement I'm trying to derive the equations of motion and state space as well as the transfer function for a system which has two mass spring damper systems stacked on top of each other. The system is base excited. I attached a pic of the system Homework Equations - Sum of the...

< Mentor Note -- thread moved to HH from the technical physics forums, so no HH Template is shown > Could anyone please correct me if I have any mistake in the following question? It's very important for me to know if I am doing it correctly. 1) "Michelle, a technician at a spring...

Hi Everyone, Kind of a tough question here. How do I determine the length of a spring if we don't have any visual information about it? All we have is the spring rate & change of object position from when the spring is uncoiled, to fully coiled. Anyone have any ideas on this? I tried the...

I'm trying to find a solution to a system in which a clamped free Euler-Bernoulli Beam system rests on top of a mass-spring-damper system. The MSD system has nonlinearities in both the spring and the damper and is of the form: I have extended the nonlinear restoring force to its 3rd term and...

Normally in high school physics-textbooks, the following formula for the period of simple harmonic motion (SMH) for a object on a spring is derived: T2= 1/(4π2k)*m where T is the period, k the springconstant and m the mass of the object on the spring. This is usually acquired by setting up a...

Generally is it as difficult to get into a PhD program in physics during the spring then it is during the fall? I'm asking because many of the schools I'm applying to say that most students are admitted during the fall but they give you the option to apply for the spring as well.

http://i.imgur.com/UNrCRD0.png How can I calculate k1,travel2 & k2,travel2 in this system? I know that k_series = k1*k2/(k1+k2) but that is the extend of my knowledge.

Hi, I have a wire that is fixed on one end and is under 2 lbs (approx) of tension on the other end due to a spring. Using a fixed/fixed closed form solution I found the first mode to be 73.6 Hz. In a vibration test, we found the first mode to be 110 Hz. Does this seem reasonable and where do...

Homework Statement Two mass-less springs with spring constant k = 1000 N/m each have 1 block attached (Spring A is fixed to the ceiling and is attached to a 5 kg Mass A, Spring B is attached and below the 5 kg Mass A and is attached to another 5 kg Mass B at the other end; this system is...

A block lies on a horizontal frictionless surface, and the spring constant is 50 N/m. Initially, the spring is at its relaxed length and the block is station ary at position x = 0 .Then an applied force with a constant magnitude of 3 N pulls the block in the positive direction of the x...

We have been given a table listing the extension and 3 times for 20 oscillations without the mass on the spring stated. I have used this to find an average time then /20 to find t for 1 oscillation, then plotted a t2/x(extension) graph. I have inserted a trend line to find y=mx+c = y=3.8001x +...

Homework Statement A 48 gram dart is shot vertically upwards from a catapult with a spring constant of 350 N/m. The catapult is initially stretched from the equilibrium point by 21 cm. What is the height above the starting point reached by the dart?Homework Equations KE=PE, rearranging to find...

Hello all, I am trying to find an equivalent spring for a combination of a spring with spring constant k1 & pre-sompression of x1 and a diaphragm of stiffness k2. Refer to the attached figure. Please help me in understanding whether this combination will be in series or in parallel. Thanks