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2 votes
1 answer
67 views

Forces along and perpendicular to a curve

A uniform rope of length $l$ is suspended from two hinges, making an angle of $\theta$ with the horizontal at the hinges. Find the depth $d$ of the lowest point of the rope. Similar questions include ...
doobdoob's user avatar
1 vote
2 answers
81 views

Is it possible to lift an object from rest with constant power?

This is inspired by the following question. Consider some object which I want to lift from rest with a constant power throughout the whole process; the power I apply when lifting the object from rest ...
user256872's user avatar
  • 6,621
1 vote
1 answer
169 views

Find $v(t)$ and $x(t)$, How do I treat $δt$? [closed]

We apply a force to a particle with a mass $m$ and inicial velocity $v_0$: $$ F(t) = \left \{ \begin{matrix} 0 & \mbox{ $t<t_0$} \\ \frac{p_0}{\delta t} & \mbox{ $t_0<t<t_0 +\...
Kenaisp's user avatar
  • 39
0 votes
3 answers
609 views

The force used when calculating work done

When calculating the work done over a distance due to a variable force, you're supposed to use $$\int^{b}_{a} F(x)dx$$ Would the force $F(x)$ be an equation representing the resultant force acting on ...
BigWig's user avatar
  • 43
4 votes
2 answers
4k views

friction of rope wrapped around a cylinder - the Capstan Equation

I have the following problem: A rope is wound round a fixed cylinder of radius $r$ so as to make n complete turns. The coefficient of friction between the rope and cylinder is $\mu$. Show that if ...
Meep's user avatar
  • 3,997