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0 votes
2 answers
96 views

Is net force conservative?

From the work-energy theorem, $$\int_{C}^{}\vec{F}\cdot d\vec{r}= \frac{1}{2}mv^2_f -\frac{1}{2}mv^2_i$$ Is velocity the gradient of position, and if so, does that make this force a conservative ...
0 votes
2 answers
192 views

In order for a force to be derived from the gradient of a potential energy, does the work done by such a force need to be invariant of the path?

Suppose a force $\mathbf{F} = \mathbf{F}(\mathbf{r}, t)$ where $\mathbf{r}$ is a three dimensional space vector and $t$ is time. I understand that in order to a force be conservative two conditions ...
0 votes
1 answer
65 views

Is the force required to push a wheelchair over a curb proportionally the same as to pulling it over the curb?

I measured the force required to pull a wheelchair over a curb using a winch and a digital fish scale. Is it valid to claim that this condition would be comparable to the force required to push the ...
6 votes
2 answers
1k views

What is the physical intuition behind this energy conservation theorem?

I'm reading Quantum Theory for Mathematicians, by Brian C. Hall. Although the book is about Quantum Mechanics, it's chapter 2 is actually about Classical Mechanics, in which I encountered the ...
1 vote
1 answer
98 views

Can Lagrange's equation be used if the virtual work done by constraint forces is not zero?

I'm learning analytical mechanics and was just introduced to d’Alembert’s principle, which I know is only valid when constraint forces' virtual work is zero. My question is, does this restriction also ...
1 vote
1 answer
90 views

Work done in sliding a block across a table, as seen in different inertial frames

Suppose, I'm pushing a block across a smooth table. The length of the table is $d$, and the force that I applied is $F$. According to an observer at rest, standing next to the table, the work done is $...
0 votes
2 answers
434 views

Kinetic energy constant, but net Work done is not $0$

Suppose I have two objects of equal mass and volume, in space, in contact with one another. The two objects exert equal and opposite gravitational force on each other. Let us apply a force $F$ on one ...
2 votes
2 answers
282 views

Work done on an object whilst lifting it

Imagine to lift an object with mass $m$ from height $h_1$ to height $h_2$ and neglect the friction with air. How much work have you done on the object? My answers (big doubt in the second one!): ...
1 vote
2 answers
164 views

A simple doubt regarding spring potential energy

A conceptual problem. Suppose we have a spring whose stiffness constant is $k$. The spring is attached to a wall and the other end is fastened to a block. If we pull the block by an external force ...
0 votes
1 answer
260 views

How is virtual work defined?

Let $S$ be a system with $g$ degrees of freedom, $\Sigma_g$ its configuration space and $\{q_i\}_{i=1}^g$ the lagrangian coordinates. If $P\in\Sigma_g$, we define a virtual displacement from $P$ as ...
1 vote
1 answer
340 views

Can average power be non zero, but instantaneous power be zero

Q. A wind-powered generator converts wind energy into electric energy, Assume that the generator converts a fixed fraction of wind energy intercepted by its blades into electrical energy. For wind ...
1 vote
2 answers
74 views

If the curve a particle moves in when calculating work is dependent on the force itself, why don't we find this path before doing work calculations?

I am having some confusion getting my head around work done by a general force on a curve. Lets say I had some mass in space so we aren't considering gravitational potential, if I apply some force ...
0 votes
4 answers
163 views

Definition of Power

I wanted to clear my doubts regarding the true definition of power. Imagine a mass falling from a height and reaching the ground thanks to gravity. The power of this event would be the work done by ...
0 votes
2 answers
34 views

Hyperelastic solids: why cannot the work in a closed process be negative?

While introducing the theory of hyperelastic solids, our professor gave the following example. "Suppose to have a rubber which is undeformed. Then stretch it, and then release it. The final ...
0 votes
2 answers
75 views

Is the value of the work done by the forces acting on a rigid body frame dependent?

I was going through the definition of "Work of Forces Acting on a Rigid Body" in Wikipedia . Here they have mentioned that work done can be calculated by taking any reference point on the ...

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