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June 25, 2019, 10:20:45 pm

### AuthorTopic: Spring, incline, friction  (Read 564 times) Tweet Share

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#### /0

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##### Spring, incline, friction
« on: May 08, 2009, 02:22:41 am »
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There is a spring of constant $k$ which rests on an slope inclined at an angle of $\theta$ to the horizontal. The coefficient of friction of the slope is $\mu, \ \mu<\tan{\theta}$. A block of mass $m$ compresses the spring by a distance $x$, and when the block is released, travels a distance $d$ up the slope.
In terms of the other variables and $g$,
a) Find $d$.
b) Find $x_f$, the distance the spring will be compressed when the block returns to the spring.

(For those who don't do specialist, $Friction = \mu N$)
The only units are $m$, $N$, $s$, $kg$.

There are many variations and evil things which could be added to this question (if it's not evil enough), and I might later...  :knuppel2:
« Last Edit: May 08, 2009, 02:41:31 am by /0 »

#### Mao

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##### Re: Spring, incline, friction
« Reply #1 on: May 08, 2009, 01:36:48 pm »
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wait, is this a question or a challenge?
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#### /0

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##### Re: Spring, incline, friction
« Reply #2 on: May 08, 2009, 04:04:23 pm »
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challenge

for anyone
« Last Edit: May 08, 2009, 04:07:35 pm by /0 »

#### bigtick

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##### Re: Spring, incline, friction
« Reply #3 on: May 08, 2009, 04:11:33 pm »
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#### /0

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##### Re: Spring, incline, friction
« Reply #4 on: May 08, 2009, 04:33:23 pm »
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$d$ is correct

Give me a few nights to check $x_f$, but you are probably right anyway