All Questions
Tagged with rotational-dynamics harmonic-oscillator
33
questions
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Why am I getting this derivation of time period of pendulum in an accelerated frame wrong? [closed]
We are working in the frame of the cart and we are trying to obtain the $\tau=k\theta$ form.
So, let's write the $\tau=I_{axis}\alpha$ first for a small deviation $\theta$ from the vartical.
(The ...
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1
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2
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88
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Is projection of a simple pendulum, doing SHM as well?
I know projection/shadow of a Uniform Cirular Motion does SHM, and a simple pendulum also does shm. But I was wondering whether, for a pendulum in $xy$ plane having its central axis parallel to $y$ ...
- 367
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2
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Does time period of a simple pendulum depends upon the moment of inertia of the Bob of pendulum or its shape?
Time period of simple pendulum is given by
$T=2\pi {\sqrt{\frac{L}{g}}}$
Here L is the length of pendulum i.e. distance between the point of support to the centre of mass of the Bob.
Now consider a ...
- 333
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Connecting rotational period with period of oscillation
Recently I have been thinking about if rotational period is somehow related to period of oscillation for SHMs. My original question was how velocity of something impacting a spring affects its ...
- 13
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1
answer
699
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How do you derive the compound pendulum formula?
How do you derive $$T=2\pi\sqrt{I/mgl},$$ where $I$ is the moment of inertia and $l$ is the length of the pendulum?
Is it even the right formula? How would I derive a compound pendulum formula for a ...
1
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1
answer
37
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Pendulum similarity with a ball attached to a uniform disk with constant [closed]
A particle of mass $m$ is supported by a frictionless horizontal disk which rotates about a vertical axis through its center with a constant angular velocity $\omega$ . The particle is connected by a ...
- 11
2
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2
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106
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Oscillations of a cylinder inside a cylinder [closed]
Please read the whole thing I'm asking for a concept not the problem itself, but I have to show the problem to explain myself
Find the period of the small oscillations of a cylinder of radius r that ...
user348222
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2
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649
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Issue about rotational and translational kinetic energy of a pendulum
Let’s say we have a pendulum that consist of a light string hanging a disk-like object. It is allowed to undergo simple harmonic motion with small oscillations.
My question: Is the energy of the disk ...
- 33
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3
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2k
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The physics behind a "roly poly" toy [closed]
What is the physics behind this toy?If we tilt it by any angle which force is causing it to come back?
-1
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1
answer
119
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Oscillating along a circle
Suppose there is a round track which a particle will be traversing (a.k.a vertical circular motion of ideal string). Now we know that if the circle is divided into four quarter circles, there is no ...
- 361
3
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3
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484
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Is it possible to get the SHO approximation of a pendulum without using energy conservation?
I tried to get the approximation for small angle of a simple pendulum using only $\sum \mathbf F = m\mathbf a$ and cartesian coordinates (that means only $x$'s and $y$'s, without $\theta$). After some ...
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Along which axis is the moment of inertia of a harmonically oscillating body calculated?
I have been learning about oscillating bodies and recently stumbled upon physical pendulums.
Now the problem is i don't understand about which axis is the MOI calculated while finding the TIME PERIOD(...
user287374
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1
answer
824
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Double weighted pendulum of a metronome
Recently I have been studying about the pendulum and had an investigation of the double weighted pendulum of the metronome. Referring to the diagram in the following site, I have some parts that I don'...
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1
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623
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Does maximum velocity change when vertical mass-spring system is used in different location on Earth in SHM?
Let me elaborate for you my concerning
I am thinking of a example of a vertical mass spring system. Suppose i place my system at equator, let suppose a wall clock which uses a vertical spring mass ...
- 486
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2
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917
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What is the difference between angular velocity and angular frequency in angular SHM?
A body free to rotate about a given axis can make angular oscillation. This angular oscillation are called Angular simple harmonic motion,
In derivation,
Ohm = theta ✖ w ✖ cos(wt+ phi)
Where omega is ...
- 486
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1
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617
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Equations of motion of a disk oscillating inside a cylinder
A disk of radius r and mass M is oscillating inside a cylinder with a bigger radius R, without slipping. The goal is to find the dependency on $\omega$, the angular velocity of the disk, and $\frac{d\...
2
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1
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61
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Analyzing motion of oscillating masses for angular frequency [closed]
If we replace the mass by a point mass, equate the forces in the diagram and do small angle approximation, we would reach at regular pendulum angular frequency formula
i.e:
$F=ma$
$-mg\sin \theta= ma$
...
- 7,980
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1
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307
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Euler force for pendulum
Hello I have a question related to the Euler force. Why is this force never considered for a simple pendulum?
As far as I understand, Euler force is given by (assume I would consider the 2d pendulum ...
- 135
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Spring oscillation model
When a spring - in real world - is extended $Xo$ from its natural position, it oscillates and eventually decreasing it's amplitude with time, comes to a stop. Is this a damped system or no? If yes how ...
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Oscillating problems [closed]
I am practicing for my "Mechanics of continuous media" exam.
There is two exercises I couldn't really do yet:
A homogeneous meter rod at the 70 cm line is hooked up, and making small amplitude ...
1
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1
answer
87
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Is the given system going to perform a simple harmonic motion? [closed]
The system shown in the picture consists of a spring of constant $k$, a pulley (disk) of mass $M$ and radius $R$ and a block of mass $m$ is let free from rest. There is no slipping between the rope ...
- 111
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623
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Classical oscillator in a rotating frame
I would like to understand the behaviour of a simple mass-and-spring system - a classical harmonic oscillator - in the $xy$ plane that is in rotation about $\hat z$ with frequency $\vec \Omega=\Omega\...
- 46.1k
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2
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How can I understand the general equation of motion for torsional harmonic oscillators?
I have a science project due in late February. my science project will be on the motion on torsion balances, a torsional harmonic oscillator that uses only the force of gravity to return to its ...
1
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1
answer
806
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Does time period of a simple pendulum vary if I heat its metallic bob? [closed]
How does the time period of a simple pendulum with a metallic bob vary if we heat its metallic bob? The pendulum is assumed to be a simple one and air drag is taken to be negligible.
Please provide a ...
2
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0
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1k
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Why do trees sway?
Resonance can also occur in three dimensions (such as wind induced swaying)
I tried to make a free body diagram (I know it is terribly wrong) to find the forces that causes the tree to undergo simple ...
user106015
2
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2
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2k
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Is there no rotational mechanics for non-rigid body? How do we deal with such situations in real life?
I am in 12th grade right now. We have a chapter on Rotational dynamics in which it is clearly stated that it is for rigid bodies. I understand that, Moment of Inertia will remain constant only for ...
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243
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Can an object experience torque when the only applied external force is at its axis of rotation (IOW, where $F \times r = 0$)?
This question came up because of this diagram that I saw in my textbook of an angular simple harmonic oscillator. I've always struggled a bit with torque and rotational dynamics in general, and I ...
- 157
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1
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3k
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Finding time period of oscillations in a multiple spring system attached to a solid cylinder [closed]
A solid cylinder of mass $m$ and radius $R$ is kept in equilibrium on horizontal rough surface. Three unstretched springs of spring constant $k$, $2k$, $3k$ are attached to cylinder as shown in the ...
4
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How to determinate the minimum period of oscillation for a physical pendulum? [closed]
A physical pendulum consists of a thin homogeneous rod of length $l$, suspended by a point $O$ at a distance $x$ from the center of gravity ($x<\frac{l}{2}$), oscillating in a vertical plane. For ...
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A problem about harmonic oscillators
A ball with mass $m$ and radius $r$ rolls without sliding inside a cylinder
with radius $R (R>>r)$, with $\theta <<1$. Find the angular frequency $\omega$
What I Know:
There are two ...
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