All Questions
16
questions
1
vote
2
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88
views
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
0
votes
2
answers
109
views
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
0
votes
0
answers
19
views
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
1
vote
1
answer
699
views
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
votes
1
answer
119
views
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
votes
3
answers
484
views
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 ...
- 16.7k
0
votes
1
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46
views
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
1
vote
1
answer
824
views
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'...
- 11
0
votes
1
answer
617
views
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
votes
1
answer
61
views
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
0
votes
1
answer
307
views
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
1
vote
1
answer
806
views
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
votes
2
answers
2k
views
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 ...
- 345
1
vote
1
answer
3k
views
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
votes
2
answers
20k
views
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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