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0 votes
1 answer
36 views

Drawbacks of Quasi-Static process for lifting a block

Definition of Quasi-static: A quasi-static process is a thermodynamic or mechanical process that occurs very slowly, allowing the system to remain in a state of equilibrium at all times. While ...
0 votes
1 answer
258 views

Is impulse functionally equivalent to work and therefore expressible in Joules?

I am trying to understand things at at a fundamental and conceptual level. Givens... 1 kg mass Mass is at rest (relatively, of course) Mass is on an idealized frictionless surface 1 N of force is ...
0 votes
1 answer
28 views

Work Done by kinetic friction in Circular Motion

We know when an object is moving in a circular motion on a rough horizontal surface, direction of kinetic friction is constantly. Thus, fto calculate the work doen by friction, we need to use ...
3 votes
2 answers
628 views

Areas with anti-parallel gravity in classical physics

I cannot indicate an error in the following reasoning if it is done in the framework of classical physics. Let's make the imaginary setup with two wedges and the ball, when the gravity in the left ...
1 vote
2 answers
66 views

Work performed by hydrostatic pressure

One should be able to show mathematically that the hydrostatic work done by an environment on an object undergoing a volume change $\Delta v$ should be $p \Delta v$, where $p$ is the (constant) ...
1 vote
3 answers
106 views

The conservative force [closed]

I read about the definition of the curl. It's the measure of the rotation of the vector field around a specific point I understand this, but I would like to know what does the "curl of the ...
1 vote
1 answer
62 views

Vanishing virtual work done by non-holonomic constraints

I was reading classical mechanics by NC Rana. I was reading a topic on vanishing virtual work done due to constraint forces. How do you prove that the virtual work done by non-holonomic constraint ...
0 votes
2 answers
48 views

Is it possible that work is being done on an object, it's kinetic energy doesn't changes and still the body is transferred from one point to another?

Recently, I read a book about Electrostatics which stated that "Electrostatic Potential at a point is defined as the work done to move a unit charge from a reference point (generally taken as ...
1 vote
2 answers
98 views

Why is force "accumulated" more at a higher speed?

I tried to understand why kinetic energy is proportional to the square of velocity. In this endeavor I stumbled upon a book "Emilie du Chatelet: Daring Genius of the Enlightenment" (ISBN 978-...
13 votes
1 answer
2k views

The role of the virtual work principle

Lanczos' masterpiece "The Variational Principle of Mechanics" has, on page 76, the following statement: Postulate A (virtual work): The virtual work of the forces of reaction is always zero for any ...
-4 votes
1 answer
97 views

Does every object have an infinite amount of energy? [duplicate]

If energy is defined as the capacity to do work, and the formula for work is force times displacement, if we place an object on a frictionless surface and apply any amount of force to said object, the ...
2 votes
5 answers
317 views

Can a conservative force not conserve mechanical energy because of explicit time dependence?

Let us define a conservative force as being a force whose work is path independent. Then, in particular, a vanishing force is conservative. If a force acting on a particle can be written from a scalar ...
2 votes
2 answers
199 views

Why is the gravitational potential energy lost not subtracted from the required work done in the given problem? [closed]

An elastic string of natural length $l \;\text{m}$ is suspended from a fixed point $O$. When a mass of $M \;\text{kg}$ is attached to the other end of the string, its extension is $\frac {l}{10} \;\...
2 votes
5 answers
924 views

Where does the power delivered to car's wheels go?

Okay, so power is work/time. Most cases, when power is provided to something, energy is gained as kinetic energy or lost to friction. But in a car, the engine puts power ( torque x rpm/5252) to ...
1 vote
1 answer
41 views

Work using angle vs. displacement [closed]

I am trying to calculate the work done on this wheel as it undergoes one full revolution, and is rolling without slipping. I am aware that work can be calculated either using the integral of force ...
0 votes
1 answer
32 views

Should the work done on a rigid body be calculated with respect to the point of application, or the center of mass?

I'm trying to understand work calculation for a force acting on a rigid body (as opposed to a point particle). My understanding is that the same basic principle applies: the work done by force F on ...
2 votes
1 answer
329 views

Why does a system have to be holonomic?

So I'm doing some work from Taylor's mechanics book. He says for the problems in the book, we require the system to be holonomic - that is the number of generalized coordinates = number of Deg. of ...
0 votes
1 answer
319 views

How can the Joule be the unit of both work and energy?

Say a person applies 1 N to a box with a mass of 1 kg, displacing 1 m. This is one Joule of work (1 N for 1 m). Now say the person applies 1 N to a box with double the mass, displacing 1 m as well. ...
1 vote
2 answers
403 views

Work Done on a rotating thin rod by hinge Forces

So I was studying the concept of rotational energy through a video, and the guy presented a problem, It's like this: "Suppose a thin rod of mass M and length L/2 is hinged from one end. Then, it ...
0 votes
2 answers
74 views

Why is the work done by moving an object up vertically not greater than mgh

Watching Walter Lewin's classical mechanics. In lecture 11 he says when moving object up vertically distance h, the work done by gravity is -mgh, which makes sense. But then he said the work done by ...
2 votes
2 answers
102 views

Where does $W = \Delta E$ come from?

My textbook states the following: $$W_{net}=W_{non−conservative}+W_{conservative}$$ $$W_{non−conservative}=ΔKE+ΔPE$$ $$W_{conservative}=−ΔPE$$ $$W_{net}=ΔKE$$ $$W=FDcos(Θ)$$ However, my teacher states ...
0 votes
1 answer
86 views

Why isn't work $Fd \sec \theta$? [closed]

In the following image if force the triangle PAN was right angle at P then the component of force in the direction of displacement would be $F\sec\theta$ so work $F*Displacement(AC)*\sec \theta $. I ...
0 votes
1 answer
50 views

Work of friction along a circular path using dot product

Good day guys, I was working on circular motion and was wondering about the following: I have seen that the work done by friction along a circular path is given by $$W = F_fS$$ I was wondering if it ...
-1 votes
1 answer
63 views

Conservative forces and Variation

I am currently studying "Classical mechanics by Goldstein" and have just started. The book introduced something simple. For a conservative force, the work done in taking a mass from one ...
0 votes
1 answer
39 views

Getting different answers by different methods for angle made by a pendulum moving with constant acceleration

A point mass $m$ is hanging by a string of length $l$ in a car moving with a constant acceleration $a$. Using car frame and pseudo force, we easily get that the angle made by string with vertical is : ...
1 vote
1 answer
52 views

Does work depend on a point of reference? [duplicate]

Imagine there is me, Earth and some other guy. Me and a guy move parallel to each other at the speed of 1000m/s relative to Earth. I am so fit that my mass is 0.5kg, so when a force of 1N in the ...
1 vote
1 answer
56 views

Conditions for a force to be conservative - Does the second condition imply the first? [duplicate]

John Taylor's Classical Mechanics says this... I was wondering if the second condition already implies the first? I mean, are there situations where the first condition is violated even though the ...
12 votes
2 answers
7k views

Can a force in an explicitly time dependent classical system be conservative?

If I consider equations of motion derived from the principle of least action for an explicitly time dependent Lagrangian $$\delta S[L[q(\text{t}),q'(\text{t}),{\bf t}]]=0,$$ under what circumstances (...
2 votes
2 answers
775 views

How does the work-energy theorem relate to the first law of thermodynamics?

The work energy theorem states that the net work on a particle is equal to the change in the kinetic energy of the particle: $$W_{net}=\Delta K $$ My first question is whether this formula (the work-...
-1 votes
1 answer
79 views

Is there a non-counterfactual definition of energy? [duplicate]

I have once heard that the definition of energy is "the ability to do work". However, that is a counterfactual definition, because a physical system can have that ability without actually ...

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