Author Topic: Spring, incline, friction (Read 638 times) Tweet Share

/0 · « **on:** May 08, 2009, 02:22:41 am »

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:

Mao · « **Reply #1 on:** May 08, 2009, 01:36:48 pm »

wait, is this a question or a challenge?

/0 · « **Reply #2 on:** May 08, 2009, 04:04:23 pm »

challenge

for anyone

bigtick · « **Reply #3 on:** May 08, 2009, 04:11:33 pm »

/0 · « **Reply #4 on:** May 08, 2009, 04:33:23 pm »

$d$ is correct

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

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