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1 vote
1 answer
37 views

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 ...
MastergGM's user avatar
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\...
thatplay name's user avatar
-1 votes
1 answer
66 views

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 ...
Erik Gebhard's user avatar
1 vote
1 answer
87 views

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 ...
user605734 MBS's user avatar
2 votes
2 answers
359 views

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 ...
Alex The Science Cat's user avatar
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 ...
shivam mishra's user avatar
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 ...
undecidedlypretentious's user avatar
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 ...
El Cid's user avatar
  • 223
1 vote
1 answer
179 views

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 ...
El Cid's user avatar
  • 223
0 votes
1 answer
3k views

Finding the minimum radius of the pivoted disc

Here is a question based on Simple Harmonic Motion that I tackled just now. However I think I am having an approach to tackle this but I am not sure about it. Ouestion: A uniform disc of radius $R$ ...
Saharsh's user avatar
  • 351
1 vote
2 answers
3k views

Vibration of pulley and string system [closed]

So here's the statement: A pulley of a mass $M$ is hanged using a spring (stiffness of the string being $k_1$), as shown in the image. What is the frequency of the pulley's oscillation? So that's as ...
eksponente's user avatar