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1 vote
2 answers
63 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
102 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
61 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
46 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
97 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
96 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
315 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
197 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
917 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 ...
0 votes
1 answer
240 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 ...
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
312 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. ...

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