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1answer
24 views

Spring constant of tuning fork

I was playing with a tuning fork and got to wondering how to find it's spring constant (assuming damped oscillation). I can find plenty of resources about materials for springs, but not a whole lot ...
0
votes
2answers
23 views

Simple harmonic motion on a vertical spring

Say we have a spring attached vertically to a wall. Now, let's assume that we attach a mass to the spring, but we do not let the spring extend just yet (we could hold the mass on our palm for example)....
0
votes
1answer
62 views

Oscillating spring, speed close to the equilibrium: How is this answer not 1.5? [closed]

I have this question with the answer listed as $2.0\,\mathrm{m/s}$. "A $1.25\,\mathrm{kg}$ mass on a spring with a constant of $12.0\,\mathrm{N/m}$ is oscillating back and forth. Its maximum ...
1
vote
3answers
89 views

Deriving SHM equation

i have derived SHM equation till here $$\sin\left( \frac{\sqrt k}{\sqrt m}\cdot t \right)$$ Now all the solutions (youtube and textbook) I'm looking are just stating intuitively $\frac{k}{m} = \text{...
0
votes
1answer
65 views

What's the maximum compression of the spring? [closed]

I tried to use the conservation of energy to solve this problem, here's what I tried to do: $\require{enclose}$ $$\begin{align} \enclose{downdiagonalstrike} {\frac{1}{2}} m v^{2} &= \enclose{...
-3
votes
1answer
61 views

Why do the units in the period of a mass-spring SHM not work out? [closed]

I am a high school physics teacher having students use the period of a mass-spring system with a known mass to determine the spring constant. We are practicing linearizing functions, so rather than ...
11
votes
4answers
2k views

Why can all solutions to the simple harmonic motion equation be written in terms of sines and cosines?

The defining property of SHM (simple harmonic motion) is that the force experienced at any value of displacement from the mean position is directly proportional to it and is directed towards the mean ...
0
votes
2answers
36 views

What's the relation between acceleration, position and angular velocity?

I just encountered a problem involving lift and oscillations where I found the following differential equation: $$\ddot y = -\frac{ \rho gA}{m}y = -\omega^2 y$$ What's the relation between $\ddot y$, ...
0
votes
2answers
86 views

Several spring coupled: can such a movement happen or is it only theoretical?

We have 6 particles. We couple them 2 by 2 with a spring of strength $K$ (as in the picture below). We then have 3 harmonic oscillators. Then we couple each oscillator by a spring of strength $S\ll K$ ...
0
votes
2answers
128 views

Harmonic motion with friction [closed]

Consider an undamped mass and spring system with friction. The friction is not proportional to the velocity of the mass. If we solve the corresponding differential equation,the spring will oscillate ...
0
votes
2answers
48 views

Will the motion in both systems be same?

In my book, the discussion in SHM is mainly about a mass hanging vertically from a spring. But there are some exercises which contain questions which involves a mass attached to a spring and the whole ...
1
vote
1answer
48 views

Simple harmonic question [closed]

consider a spring with a block of mass $m$ and spring constant $k$ that is inside a lift. the cable breaks and the lift falls freely. Show that the block now executes a simple harmonic motion of ...
-3
votes
1answer
51 views

Why is this he correct? [closed]

Here is the question: "A spring stretches 0.4m when a 2kg mass is hung from it. The spring is stretched an additional 0.2m from its equilibrium point and is released. Determine: The Max ...
1
vote
1answer
52 views

Harmonic oscillators in fluids and driven oscllations

If given a normal spring/mass system and letting the mass oscillate in a fluid say water, would it be possible for the motion of the fluid, if the fluid is moving to create a driven oscillation and ...
0
votes
1answer
50 views

Equation of coupled springs : where does this potential come from?

In this document, we try to derive the equation of two coupled springs as in this picture. At the bottom of the page 2, they say : it would be more efficient to introduce the potential energy ...
0
votes
1answer
250 views

Newtonian mechanics: pendulum spring system [closed]

I am thinking about the following pendulum-spring system. But something is off with my equation of motion. Problem We have a uniform rod of length L with mass m pivoted at one end. We ...
1
vote
0answers
42 views

Potential energy of and forces within a massive spring

So, I've been doing problems related to calculating the time period of SHM for a spring mass system where the mass is M, and the spring has a finite mass m. The standard method of dealing with this ...
0
votes
3answers
68 views

Problem in harmonic motion

In the harmonic chapter of my book it is written that $\omega^{2}=\frac{k}{m}$ where $\omega$ is frequency and $k$ is the spring constant. But how did they get to this formula? What is its derivation? ...
0
votes
2answers
177 views

Why does an object in simple harmonic motion have kinetic energy at its equilibrium point? [closed]

While an object is undergoing simple harmonic motion, its kinetic energy tends to vary with its position. This kinetic energy is highest when it's at the point where the forces on it are at ...
1
vote
1answer
41 views

Motion along length of a spring [closed]

What's relation between velocity of each part of a massive spring undergoing Simple Harmonic Motion.
0
votes
2answers
327 views

Why is the restoring force not zero at the equilibrium position of simple harmonic motion?

The restoring force is applied in order to take the body it's equilibrium. Then in a SHM why in the mean position restoring force maximum rather than being zero as it has reached equilibrium. (After ...
1
vote
2answers
272 views

Rod connected to springs. Can this oscillate if the rod has no mass?

My thoughts led me to change the question's title. Here's what I've tried in solving the problem and led me to ask the question in the title. We have the following diagram where the beam has no mass ...
0
votes
1answer
53 views

Why does $g$ show up in the frequency of this oscillation?

The problem diagram is given in the picture below: Having looked at this question Why does the acceleration $g$ due to gravity not affect the period of a vertically mounted spring? something troubles ...
1
vote
1answer
380 views

Simple harmonic motion with pulley with mass

The problem is presented in the following diagram I'm refreshing things I've already learnt and I know I have some major gaps but I've searched and haven't managed to find a similar problem. The axis ...
0
votes
3answers
547 views

Gravity’s effect on a vertical spring-block simple harmonic oscillator

I just found a question in my textbook which asked how the period of the vertical oscillation will change if the spring and block system is moved to the moon, and the gravity due to acceleration is ...
0
votes
2answers
133 views

meaning of “sufficiently small” in approximations to behaviour of a Harmonic Oscillator

So in my classical mechanics book it states: "For any sufficiently small displacement, any system of this kind behaves like a harmonic oscillator." When discussing SHO. So I am curious what is ...
2
votes
1answer
164 views

Why do materials obey Hooke's law? [duplicate]

Why do materials extend proportionally to the force exerted on them (Hooke's law)? I thought that when materials are compressed or extended under force, their atoms become closer or further apart; ...
-2
votes
1answer
113 views

Would a spring ever stop?

It is not difficult to show from Newton's second law $$m\ddot x = -kx - b\dot x $$ that an underdamped spring has the equation of motion quantified by $$x(t) = c_1e^{-\beta t}\sin\left(\omega t\right) ...
-1
votes
2answers
115 views

Mass hanging by a spring [closed]

I have a mass hanging from the ceiling by a spring, with costant $k$, and wih gravity $g$. Using analytical mechanics I got to the differential equation: $$ \ddot{x} + \frac{k}{m}x + g = 0 $$ The ...
0
votes
1answer
97 views

Is there a conservative force acting on a spring that oscillates in SHM?

If I were to stretch a spring, then I am doing positive work in order to increase the potential energy stored in the spring. Since the equation for the potential energy in this case is given by $$U(x)=...
3
votes
1answer
144 views

Spring oscillator and time dilatation

Consider the mass M suspended on the (ideal) spring with stiffness D, whose suspension point is in rest in inertial frame K'. I understand how the principle of relativity requires that this harmonic ...
0
votes
3answers
339 views

Calculating angular frequency for solid disk/spring system

I have a solid disk with radius $R$, mass $M$, and moment of inertia $I = \frac{1}{2}MR^2$ which can freely rotate about a fixed mass in its center. A spring with spring constant $k$ is attached to ...
1
vote
2answers
64 views

How are these equations for energy compatible?

I have one equation that says the energy in an oscillating spring with a mass $$E = 2\pi^2ν^2A^2M.$$ I have another equation that says the energy is the system is quantized $$E = nhν.$$ How are ...
1
vote
2answers
156 views

How do I derive this equation for total energy of an oscillating spring?

My textbook reads: One more thing: there’s a nice formula for the energy stored in an oscillating spring. It is proportional to the square of the amplitude and the square of the frequency: $$E =...
-1
votes
1answer
41 views

Investigating 2D Oscillating motion

I once did an experiment into Simple Harmonic motion of a mass oscillating in 1D on a spring. I wanted to extend this into two dimensions. I can see how varying the starting offset and also ratio of ...
1
vote
1answer
91 views

Puzzle: Oscillating Rope and a Spring!

Here's a puzzle one of my friends in physics class gave me - Consider a uniform rope suspended from the ceiling with the help of a spring. At what distance from the lower end (fraction of total ...
1
vote
1answer
120 views

Difference between force and energy equilibrium

I want to find out how far a spring stretches. If I use the force equilibrium, I get $kx=mg \to x=mg/k$. If I use the conservation of energy, I get $0.5kx^2=mgx \to x=2mg/k$. How can I choose ...
2
votes
2answers
225 views

Energy in simple harmonic motion ─ where is the kinetic energy stored, and where is the potential energy?

When a mass connected to a spring is in simple harmonic motion and somewhere between the mean and extreme positions the mass is cut from spring. Then instantaneously after cutting the mass will only ...
0
votes
1answer
129 views

How Is Simple Harmonic motion possible here?

Suppose the object just touches two spring(not attached) and then is displaced towards left by some distance and released then I have seen that this mass will undergo simple harmonic motion on both ...
-1
votes
2answers
711 views

Potential energy of vertical spring

I have an oscillating vertical spring with a mass attached. If I set the resting position of the mass as $x=0$ as the spring oscillates, I will have a graph like this: If I want to get the potential ...
0
votes
2answers
606 views

Simple Harmonic Motion for Mass Attached to Vertical Spring

So I was looking at the case where we have an object of mass $m$ attached to a spring with spring constant $k$. The spring is attached to the ceiling. I was working to come up with an equation of ...
-1
votes
1answer
113 views

Simple Harmonic Oscillation of a vertical Spring

If a spring with a spring constant of k is hung vertically, and a mass is attached to it the spring will rest in equilibrium at some distance h from the springs original equilibrium length because ...
8
votes
3answers
281 views

Experimental Result Cannot Be Explained by Theory for 2 Spring 1 Mass System

We have 2 spring 1 mass system in 2D as shown, Here is my brief attempt of solution: $$\vec{F_x} = \vec{F_{1x}} + \vec{F_{2x}}= -k (x + l) \hat{\imath}- k (x-l)\hat{\imath} = -2 k x \hat{\imath} \...
-5
votes
1answer
444 views

Angular frequency of spring mass system [closed]

Why is it true that ω=√(k/m)? Can't find a description of this anywhere
1
vote
1answer
167 views

The amplitude of a damped spring with a weight during the 4 first oscillations

This is my first time posting anything, but I could not figure out the derivation of the amplitude of the spring for the 4 first oscillations. I am not acquainted with the effect and calculations of ...
1
vote
0answers
4k views

Finding the damping constant and period from looking at a graph [closed]

I want to make sure there are no holes in my logic in solving this problem. From the figure, I am instructed to determine the damping constant as accurately as possible. Here's what my thought ...
1
vote
1answer
398 views

Better understanding natural resonance frequency and simple harmonic motion

Let me see if I'm getting this understood correctly. I'm trying to make sure my interpretation of simple harmonic motion is the right interpretation, including my take on resonant frequency. Okay, so ...
-1
votes
1answer
71 views

Demonstration of Simple harmonic motion and Hooke's law

Im very new physic student. Im studying this video. https://www.youtube.com/watch?v=tNpuTx7UQbw&index=11&list=PLyQSN7X0ro203puVhQsmCj9qhlFQ-As8e it's about Simple harmonic motion and hooke's ...
0
votes
0answers
100 views

Deterministic non-harmonic motion of a single spring

Is there anything describing a spring's motion when e.g pulled and released, or pushed and released, with no mass-body attached to the spring. I.e not your usual "mass motion on a spring"-equation. I'...
0
votes
4answers
744 views

Period of oscillation of a suspended mass

My initial approach was using the formula $F = - kx$ and acquiring the spring constant and later inputting it in $T = 2\pi \sqrt \frac{m}{k}$ to get the period. Although, my friend contacted me and ...