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Q&A

Posts tagged classical-mechanics

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Q&A What do eigenfunctions and eigenvalues mean physically?

Lets say we have a mass connected to a spring.Assuming not any friction the ODE which describes the system is $m\frac{d^{2}x}{dt^{2}} = -kx$ We can set 2 Dirichlet boundary conditions $x(0)=0$ an...

1 answer  ·  posted 10mo ago by Volpina‭  ·  last activity 10mo ago by Technically Natural‭

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Q&A If you're stopped and about to be hit from behind, should you brake or release the brake?

The title is a framing for a theoretical question; I'm not asking for practical advice. A friend was recently in this situation and my attempts to apply what I remember of a couple semesters of co...

1 answer  ·  posted 1y ago by Monica Cellio‭  ·  last activity 1y ago by Olin Lathrop‭

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Q&A What is virtual work?

$$\sum_i F_i \cdot \delta r_i$$ is virtual work when internal force is $0$. For that reason, $$\sum_i F_i \cdot \delta r_i = 0$$ Here internal force stands for what? When a object's displacement ...

1 answer  ·  posted 2y ago by deleted user  ·  last activity 2y ago by deleted user

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Q&A Why series springs behave like parallel? A comparison between parallel resistance and series spring.

I know that equation for parallel resistance is $$\frac{1}{r_{tot}}=\sum_i \frac{1}{r_i}$$ But i wonder to see equation of series spring constant. If we add multiple spring in series. Then their ...

1 answer  ·  posted 2y ago by deleted user  ·  last activity 2y ago by Olin Lathrop‭

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Q&A How can the kinetic energy equation be intuitively understood?

Momentum is proportional to an object's velocity, and kinetic energy is proportional to the square of its velocity $\dfrac{mv^2}{2}$. It's pretty intuitive that if object B is going twice as fast a...

3 answers  ·  posted 2y ago by gmcgath‭  ·  last activity 2y ago by celtschk‭

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Q&A Book suggestion for Classical Mechanics

Since, there's no book category currently so, I am asking it here. And, It can be moved to that category later. I want to start learning now so, I don't want to wait. Which book is best for Clas...

1 answer  ·  posted 2y ago by deleted user  ·  last activity 2y ago by deleted user

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Problems Find initial velocity when a stuntman jump from $1.25 \ m$ height

A stuntman jumped from $1.25 \ \text{m}$ height and, landed at distance $10 \ \text{m}$. Find velocity when he jumped. (Take $\text{g}=10 \ ms^{-2}$) I had solved it following way. $$h=\fra...

1 answer  ·  posted 2y ago by deleted user  ·  last activity 2y ago by deleted user

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Problems Why used $\cos\theta$ for $\text{y}$ axis or, gravitational force?

Mass M1 is held on a plane with inclination angle θ, and mass M2 hangs over the side. The two masses are connected by a massless string which runs over a massless pulley (see Fig. 3.1). The c...

1 answer  ·  posted 2y ago by deleted user  ·  last activity 2y ago by deleted user

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Problems Why answer matched but, unit?

Mass of a timber is $20 \ g$. And, density of that timber is $0.27 \ g/cc$. That timber was bind to a metallic materials and, it was released to $0.970 \ g/cc$ water. How much the wood was submer...

1 answer  ·  posted 2y ago by deleted user  ·  last activity 2y ago by deleted user

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Q&A Why we can't find a particle accelerating unless there's some other particle accelerating somewhere else?

I was reading "Introduction to classical Mechanics" by David Morin. In that book they wrote that The third law says we will never find a particle accelerating unless there’s some other particle ...

3 answers  ·  posted 2y ago by deleted user  ·  last activity 2y ago by Olin Lathrop‭

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Q&A Motion of charged particle inside a magnetic field

We have place a charged particle of 2C with mass 2kg, 1mm above a current-carrying wire of 1A.The charged particle has an initial velocity of 100m/s The magnetic field of the wire for simplicity w...

0 answers  ·  posted 2y ago by MissMulan‭  ·  edited 2y ago by MissMulan‭

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Q&A How dangerous is mounting and firing a gun on another human's body part? [closed]

I stumbled these pictures on Quora, and I'm assuming they were real. Wouldn't the supporter (person whom gun is mounted on) suffer hearing loss? Wouldn't the barrel burn his ear? I'm assu...

1 answer  ·  posted 3y ago by TextKit‭  ·  closed 2y ago by Mithical‭

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Q&A Is it rational to freeze water bottles during colder nights, and place them in front of a fan during warmer days?

Is this advice correct? Are they alluding to Freezing Point Depression? Adding salt to tap water lowers the Crystalloid's freezing point. Pour 3 tbsp (51 g) of salt into each of your 3 plast...

1 answer  ·  posted 3y ago by TextKit‭  ·  last activity 3y ago by manassehkatz‭

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Q&A How do constraints work in Lagrangian systems?

I have a question about the discussion of constrained Lagrangian systems in the book Mathematical Aspects of Classical and Celestial Mechanics by Arnold et al. (section 1.2.5). The Lagrangian syst...

1 answer  ·  posted 3y ago by Technically Natural‭  ·  last activity 3y ago by Derek Elkins‭