# Tagged Questions

An object such as a metal coil or air-filled tube which provides a force opposing the direction of deformation.

80 views

### Deriving the formula for energy stored in a spring without using geometry (determining the area under a curve)?

Using Hooke's Law, we know that the force applied is proportional to the extension of the spring. Therefore by plotting a graph of force against extension, through the area under the curve we are able ...
62 views

### Blocks spring system

Two blocks of masses $m_1$ and $m_2$ are connected by a mass less spring of constant $k$. The blocks rest on a rough floor with the spring in its equilibrium length. Coefficient of friction between ...
47 views

### Issue with approach to determine maximum distance a constant force can stretch a spring

So I know the conventional way we determine the maximum distance a given constant force can stretch a spring, namely dividing the applied force by the spring constant, k. My issue is that I feel that ...
49 views

### Free body diagram when forces are not directly in contact with the object

I was trying to use Newton's second law to describe the motion of the following pendulum: However, I was confused as to how to include the spring in Newton's second law. I was able to set up a ...
52 views

### Damped sinusoidal motion with initial velocity or acceleration [closed]

I am looking for the equation of damped sinusoidal motion with an initial velocity. For example: a mass is moving by spring1 force. At ...
46 views

### Potential Elastic Energy between two carts [closed]

I have a problem in which two carts are attached by a compressed spring. I have found that cart $A$ moves at $1.1~\mathrm{m/s}$ to the right and has a mass of $0.39 ~\textrm{kg}.$ Cart $B$ has a mass ...
31 views

### Spring constant and a spring's decompressed length

I wonder why the decompressed/free length of a spring doesn't change the spring constant $k$. I'll give the equation for $k$ here: $k = \frac{Gd^4}{8nD^3}$ For a fixed number of coils, if the free ...
51 views

### Does the stretching of a spring depend on its rest length?

I don't understand if the stretching of a spring depends on its rest length besides its force constant $k$. I'll make an example to show my doubt. Consider a vertical spring and a mass $m$ ...
71 views

### Equivalent spring constant of setup

A mass $M$ is suspended using two springs having spring constant $k_{1}$ & $k_{2}$ with distance from mass as $a$ & $b$ respectively. Find equivalent spring constant of system. So I first ...
50 views

132 views

### Does really a spring compresses placed between two blocks when one block is given force on a frictionless surface?

When Spring is placed between two bodies on a frictionless surface it gets compressed when one block is given kinetic energy as told by my physics teacher. But it should not compress as there's no ...
107 views

### Where does the spring's energy go?

I have learned that ideal spring has no mass. Suppose, I attach a ideal spring (spring constant $K$) to a wall and pull it a distance $x$ it will have a potential energy $U = \frac{1}{2}Kx^2$ and if I ...
89 views

### Question about spring force and work [closed]

An ideal massless spring can be compressed $2.33\ \mathrm{cm}$ by a force of $268\ \mathrm{N}$. A block of mass $m=3.18\ \mathrm{kg}$ is released from rest at the top of a frictionless incline of ...
498 views

### Max extension of spring mass system

While attempting problems of simple harmonic motion I came across this problem, which has gotten me confused. A fixed horizontal spring is stretched by a constant force $F$. I am required to obtain ...
109 views

### How to model vibration damped by applied/contact force?

I am computer science student and I am working on a project which needs to know how the vibration of phone is damped by applied force (when human touches the phone). I have read many articles about "...
109 views

### What's the work done by a spring on a block when it moves from extreme to mean position?

I really don't know where am I doing it wrong, but block when it moves towards mean position displacement will be along the force right, so the force acting on block will be $+fxdx$ Integrating we ...
111 views

### Spring mass on a rotating disc

I demonstrated the problem in the figure below. Edit: Original figure is 90 degrees rotated clockwise. I couldn't rotate the figure here. Disc is massles and horizontal. Vibrating mass only moves ...
133 views

### Spring-mass system with complex spring constant

Suppose a system containing a mass $m$ on frictionless surface, attached by a spring to a wall. The spring's constant is complex, given by $K = K_1 + K_2i$, with $K_1 \gg K_2$. Write the equation of ...
78 views

### How to set up the Lagrangian for this kind of problem?

I'm currently studying rigid bodies in Goldstein's Classical Mechanics book but although I understand the theory I'm not yet understanding how to set up the Lagrangian in some situations. One such ...
120 views

### The work done by a spring over a specific distance

I cannot seem to find the answer for my question. I know that the formula for work is $W = FD$. Given a mass that is attached to unstretched spring and is pushed by some force to stretch the spring, ...
I came across of a problem. It is about two bodies with equal masses connected by a spring with the coefficient $k$ and the length of $l_0$. Suddenly, a constant force $F$ is applied to the first body....