All Questions
Tagged with equilibrium classical-mechanics
67
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Equilibrium in physics
We know that harmonic oscillator or pendulum will not reach a equilibrium at infinite time. But why a system of gas molecules reaches equilibrium (entropy of an isolated system will tend to increase ...
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Classification of equilibrium configurations for particles subject to elastic force constrained on a circle
I am interested in classifying all the possible equilibrium configurations for an arrangement of $l$ equal point particles $P_1, P_2, . . . , P_l$ $(l > 2)$ on a circle of radius $R$ and centre $O$....
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On beam suspended by wires
My question involves sample problem 9-8 of the book "Physics" by Halliday, Resnick and Krane, 5th edition. So I could understand the answer given but there is something that is not ...
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Static equilibrium of linkage [closed]
I have a question regarding the calculation of the forces of a linkage in static equilibrium. Consider the mechanism in the figure. Points A and B can move in all 3 directions (hence they have 3 DoFs ...
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Can a body be in both static and dynamic equilibrium simultaneously?
I was just studying statics when I realized that a body can be in both static or dynamic equilibrium at the same time but I am not so sure.
My textbook says that an object at rest is in static ...
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Lower bound of stable equilibrium for mass on rotating ring
Consider a point mass $m$ constrained to move without friction along a ring of radius $R$. The ring rotates with angular frequency $\omega$ about the $z$-axis which runs through a diameter of the ring,...
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Doubt: Arnold's "Mathematical Methods of Classical Mechanics", pg. 18
I am having trouble understanding the following diagram from pg. 18 of Arnold's book:
I am unable to see why local maxima of the potential energy correspond to unstable equilibria (and, reciprocally, ...
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Terminology of different equilibria?
I've heard many equilibrium terms:
Translational equilibrium
Rotational equilibrium
Static equilibrium
Dynamic equilibrium
The different terminology is slightly confusing. My understanding is as ...
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Time for pendulum to leave unstable equilibrium is logarithmic
I would like to show that the time it takes for a pendulum to leave the unstable equilibrium at the top is logarithmic; i.e. if the starting position of the mass is $\theta_0 = \delta$ for some small $...
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Confusion with the concept of stable equilibrium of pendulum at resting position
According to my understanding, an oscillating pendulum is not at equilibrium, since its momentum and velocity changes with time. Now my question is that we say that the pendulum at its resting ...
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Lever and principle of moments
Consider an ideal lever which consists of a rod pivoted at its fulcrum as shown in the picture.
Without any rigorous justification the textbook I am reading mentions that,
$$F_{1}d_{1}=F_{2}d_{2}$$
...
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What is "equilibrium position" in simple harmonic motion?
In simple harmonic motion (SHM) is equilibrium position equal to the extreme position (i.e. where the external force and restoring force are equal), or where all kinetic energy of the body is ...
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Equilibrium positions of a tilted rod rotating around vertical axis
First of all, this is my first ever question on any forum so forgive me if it's not so well written. Second, I'm not a native English speaker so if there is any writing error, I'm sorry.
The problem ...
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Calculating the bending moment in 3D [closed]
I'm studying for exam week, and I met this problem in my text book. I thought it was quite cool, however, I couldn't arrive at the correct result according to my text book. Hence, I want to present my ...
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What is the normal force below a bloc on a tilted plane
Suppose there's a solid regular rectangular bloc of mass $m$ standing still on a tilted plane (inclination angle $\theta$). There are three forces acting on the bloc : its weight $P = m g$, the ...
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