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3 votes
1 answer
358 views

Conservative field vs conservative force

For a conservative field (e.g. electrostatic field) the circulation of the field (along a closed line) is zero. For a conservative force (e.g. macroscopic elastic force) the work performed on a ...
Federico Toso's user avatar
3 votes
2 answers
3k views

What is difference between variations of the work and virtual work?

I really want to know whether or not both equations are the same mathematically. I think that they are the same, I just want to be sure. (Reference: this website.)
J.ahn's user avatar
  • 41
3 votes
2 answers
613 views

Net Work Done When Lifting an Object at a constant speed [duplicate]

I am confused about the amount of work done when lifting an object at a constant speed. If you find the work done by you on the object and the work done by gravity on the object and add them the net ...
stack4561's user avatar
2 votes
7 answers
1k views

Centripetal Force Acceleration

In uniform circular motion, acceleration is $\frac{v^2}{r}$ and time which it acts $\rightarrow 0$. So $\Delta v = 0$, but then why/how does direction change, when the acceleration should be producing ...
user avatar
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 ...
Diracology's user avatar
  • 17.8k
2 votes
2 answers
260 views

Mechanical work to required battery power

I have a very practical question where I've calculated the mechanical work needed by a simple mechanical system by solving the line integral $W = \int_C \ F \ dx$. However, since I have a black spot ...
avanwieringen's user avatar
2 votes
4 answers
292 views

How do we get energy to start walking?

The answer seems obvious, it's our energy that gets converted into kinetic energy. But my question is how exactly? Which force is responsible for doing work on us so that we gain kinetic energy? It ...
Akshat Sharma's user avatar
2 votes
1 answer
12k views

How to prove force is conservative?

How do I prove whether a force perpendicular to the motion is conservative and $\mathbf{F}=\mathbf{F_{0}}\sin(at)$ conservative, where $\mathbf{F_{0}}$ is a constant vector. I knew that for a force ...
147875's user avatar
  • 494
2 votes
3 answers
16k views

Why is walking up stairs harder than walking normally?

I must admit, I'm pretty new to studying physics and I know this is a simple concept but I'm having difficulty understanding it. I've tried reading the questions here but I just need a little bit of ...
Leggy's user avatar
  • 123
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-...
SalahTheGoat's user avatar
  • 1,581
2 votes
1 answer
143 views

Example of a single constraint force doing virtual work despite the sum of work done by constraints being zero

When deriving d'Alembert's Principle it must be assumed, that the total virtual work done by constraint forces vanishes. $$\sum_{j=1}^N\mathbf{C}_j\cdot\delta \mathbf{r}_j=0.$$ In the books I've read, ...
Philmaster's user avatar
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 ...
Kevin C Speltz's user avatar
2 votes
1 answer
1k views

How Much Power Is Required to Hover?

Suppose I have a spaceship that weighs 1,000 kilograms. I take it to the surface of the planet with a gravitational acceleration of 10 meters per second-squared. The planet has no atmosphere and I'm ...
Joshua Hyatt's user avatar
2 votes
1 answer
70 views

Why is $t$ considered constant when forming the differential $\mathrm dU(q_l; t)$ for $\mathrm dU= \overline{\mathrm dw}$ to be true?

The definition of work function on the basis of $$U:= U(q_1,q_2,\ldots,q_n)\tag{17.6}$$ is too restricted. We have forces in nature which are derivable from a time-dependent work function $U(q_1,q_2,\...
user avatar
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 ...
milanios's user avatar

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