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serprob.problem
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Wed Mar 20 18:15:00 2002 UTC (22 years, 2 months ago) by
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version_2_9_X,
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version_2_9_0,
version_2_8_X,
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version_2_6_3,
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- adding Ohio Universities CAPA -> LON-CAPA cleanup scripts
1: <problem>
2:
3: <import>/res/ohiou/capa/Tools/StdUnits.library</import>
4: <import>/res/ohiou/capa/Tools/StdConst.library</import>
5: <import>/res/ohiou/capa/Tools/StdMacros.library</import>
6:
7: <hr />
8: <displayduedate />
9: <displaytitle />
10:
11:
12:
13: <script type="loncapa/perl">
14: # ******************************************************
15: # / Serway & Faughn chapter 5 problem 68 difficulty 3
16: # / written at MSU July 1998 T&T
17: # /******************************************************
18: # /BEG prob_val=1
19: # /LET try_val=99
20: # /HIN space for hints
21: </script>
22:
23: <script type="loncapa/perl">
24: $m=&random(2.20,2.505,0.01);
25: $k=&random(100.0,120.5,1.0);
26: $d=&random(15.0,20.05,0.1);
27: $angle=&random(34.0,40.05,0.1);
28: $alpha=&web('alpha','$\alpha$','<i>alpha</i>');
29: $picture=&web('','\centerline{\epsfxsize="2.2in" \epsffile{/res/ohiou/serwaylib/Graphics/Graph05/serw0568.eps}}','<IMG SRC="/res/ohiou/serwaylib/Graphics/Graph05/serw0568.gif">');
30: </script>
31:
32: <startouttext /><hr />
33: A <display>&format(${m},'2f')</display><display>${kg_u}</display> bloke situated on a rough incline (assume an angle of <display>${alpha}</display> = <display>&format(${angle},'1f')</display><display>${deg_u}</display>) is connected to a spring of negligible mass having a spring constant k = of <display>&format(${k},'0f')</display><display>${NPm_u}</display> (see the figure below).<display>${newline}</display>
34: <display>${newline}</display><display>${picture}</display>
35: The bloke is released from rest when the spring is unstretched, and the pulley is frictionless. The bloke moves <display>&format(${d},'1f')</display><display>${cm_u}</display> down the incline before coming to rest. Find the coefficient of kinetic friction between bloke and incline.
36: <br />
37: <endouttext />
38:
39: <script type="loncapa/perl">
40: $mu=-($k*$d/100./2.-$m*9.8*&sin($angle*$pi_c/180.))/$m/9.8/&cos($angle*$pi_c/180.);
41: </script>
42:
43: <numericalresponse answer="$mu" format="2E">
44: <responseparam name="tol" type="tolerance" description="Numerical Tolerance" default="2%" />
45: <responseparam name="sig" type="int,range,0-12" description="Significant Figures" default="3,5" />
46: <textline />
47: </numericalresponse>
48:
49:
50: <script type="loncapa/perl">
51: # ******************************************************
52: </script>
53:
54: <hr />
55: more stuff at the foot.
56:
57: </problem>
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