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| 1 | +<?xml version="1.0" encoding="UTF-8"?> <!DOCTYPE assessment PUBLIC "-//Carnegie Mellon University//DTD Assessment MathML 2.4//EN" "http://oli.web.cmu.edu/dtd/oli_assessment_mathml_2_4.dtd"> |
| 2 | +<assessment xmlns:cmd="http://oli.web.cmu.edu/content/metadata/2.1/" id="_m4_assess"> |
| 3 | + <title>Effects of Multiple Forces</title> |
| 4 | + <page> |
| 5 | + <numeric id="q1"> |
| 6 | + <body><p>Two forces are applied to the body via cables. Both forces act through the |
| 7 | + point (x,y)=(3,2) and the line of action of the force F<sub>1</sub> passes |
| 8 | + through (x,y)=(2,5). You are to replace the two cables by a single cable that is |
| 9 | + produces the same effect on the body. </p><image src="../webcontent/statics_quiz4_image1.gif"/><p>First, deter mine the |
| 10 | + components of the forces F<sub>1</sub> and F<sub>2</sub>:</p><ul> |
| 11 | + <li><p>x-component of F<sub>1</sub> = <input_ref input="i1"/> N</p></li> |
| 12 | + <li><p>y-component of F<sub>1</sub> = <input_ref input="i2"/> N</p></li> |
| 13 | + <li><p>x-compo nent of F<sub>2</sub> = <input_ref input="i3"/> N</p></li> |
| 14 | + <li><p>y-component of F<sub>2</sub> = <input_ref input="i4"/> N</p></li> |
| 15 | + </ul></body> |
| 16 | + <input id="i1"/> |
| 17 | + <input id="i2"/> |
| 18 | + <input id="i3"/> |
| 19 | + <input id="i4"/> |
| 20 | + <part id="p1"> |
| 21 | + <skillref idref="resolve_into_components"/> |
| 22 | + <response name="-1.58" input="i1" match="(-1.659,-1.501)" score="5"/> |
| 23 | + <response input="i1" match="*" score="0"/> |
| 24 | + <no_response score="0"/> |
| 25 | + </part> |
| 26 | + <part id="p2"> |
| 27 | + <skillref idref="resolve_into_components"/> |
| 28 | + <response name="4.74" input="i2" match="(4.503,4.977)" score="5"/> |
| 29 | + <response input="i2" match="*" score="0"/> |
| 30 | + <no_response score="0"/> |
| 31 | + </part> |
| 32 | + <part id="p3"> |
| 33 | + <skillref idref="resolve_into_components"/> |
| 34 | + <response name="17" input="i3 " match="(16.15,17.85)" score="5"/> |
| 35 | + <response input="i3" match="*" score="0"/> |
| 36 | + <no_response score="0"/> |
| 37 | + </part> |
| 38 | + <part id="p4"> |
| 39 | + <skillref idref="resolve_into_components"/> |
| 40 | + <response name="-10" input="i4" match="(-10.5,-9.5)" score="5"/> |
| 41 | + <response input="i4" match="*" score="0"/> |
| 42 | + <no_response score="0"/> |
| 43 | + </part> |
| 44 | + </numeric> |
| 45 | + <numeric id="q2"> |
| 46 | + <body><p>What is the tension in the single replacement cable? <input_ref input="i1"/> |
| 47 | + N</p></body> |
| 48 | + <input id="i1"/> |
| 49 | + <part id="p1"> |
| 50 | + <skillref idref="find_magnitude_given_components"/> |
| 51 | + <response name="16.6" input="i1" match="(15.77,17.43)" score="15"/> |
| 52 | + <response input="i1" match="*" score="0"/> |
| 53 | + <no_response score="0"/> |
| 54 | + </part> |
| 55 | + </numeric> |
| 56 | + <numeric id="q3"> |
| 57 | + <body><p>What is the angle α that the single replacement cable forms with the x axis? |
| 58 | + (enter a positive number) <input_ref input="i1"/> degrees</p></body> |
| 59 | + <input id="i1"/> |
| 60 | + <part id="p1"> |
| 61 | + <skillref idref="find_angle_given_components"/> |
| 62 | + <response name="18.5" input="i1" match="(17.575,19.425)" score="15"/> |
| 63 | + <response name="341.5" input="i1" match="(324.425,358.575)" score="15"/> |
| 64 | + <response input="i1" match="*" score="0"/> |
| 65 | + <no_response score="0"/> |
| 66 | + </part> |
| 67 | + </numeric> |
| 68 | + <image_hotspot id="q4" select="single"> |
| 69 | + <body><p>Indicate the direction of the single replacement cable by clicking on the |
| 70 | + appropriate quadrant:</p><input_ref input="direction"/></body> |
| 71 | + <image_input id="direction" src="../webcontent/statics_ quiz4_image2.gif" width="107" |
| 72 | + height="108"> |
| 73 | + <hotspot shape="rect" value="up_and_left" coords="0,0,53,52">Up and Left</hotspot> |
| 74 | + <hotspot shape="rect" value="up_and_right" coords="54,0,107,52">Up and |
| 75 | + Right</hotspot> |
| 76 | + <hotspot shape="rect" value="down_and_left" coords="0,53,53,105">Down and |
| 77 | + Left</hotspot> |
| 78 | + <hotspot shape="rect" value="down_and_right" coords="54,53,107,105">Down and |
| 79 | + Right</hotspot> |
| 80 | + </image_input> |
| 81 | + <part id="p1"> |
| 82 | + <skillref idref="find_angle_given_components"/> |
| 83 | + <response name="up and left" input="direction" match="up_and_left" score="0"/> |
| 84 | + <response name="up and right" input="direction" match="up_and_right" score="0"/> |
| 85 | + <response name="down and left" input="direction" match="dow n_and_left" score="0"/> |
| 86 | + <response name="down and right" input="direction" match="down_and_right" score="5"/> |
| 87 | + <no_response score="0"/> |
| 88 | + </part> |
| 89 | + </image_hotspot> |
| 90 | + </page> |
| 91 | + <page> |
| 92 | + <content> |
| 93 | + <p>Determine the moment created by the two forces about the point O.</p> |
| 94 | + <image src="../webcontent/statics_quiz4_image3.gif"/> |
| 95 | + </content> |
| 96 | + <numeric id="q5"> |
| 97 | + <body><p>Magnitude of moment (enter positive number) = <input_ref input="i1"/> |
| 98 | + lb-in</p></body> |
| 99 | + <input id="i1"/> |
| 100 | + <part id="p1"> |
| 101 | + <skillref idref="determine_moment"/> |
| 102 | + <response name="10" input="i1" match="(9.5, 10.5)" score="10"/> |
| 103 | + <response input="i1" match="*" score="0"/> |
| 104 | + <no_response score="0"/> |
| 105 | + </part> |
| 106 | + </numeric> |
| 107 | + <fill_in_the_blank id="q6"> |
| 108 | + <body><p>Sense of moment = <input_ref input="i1"/></p></body> |
| 109 | + <input id="i1" shuffle="false"> |
| 110 | + <choice value="cw">CW</choice> |
| 111 | + <choice value="ccw">CCW</choice> |
| 112 | + </input> |
| 113 | + <part id="p1"> |
| 114 | + <skillref idref="moment_sign_sense_relation"/> |
| 115 | + <response name="CW" input="i1" match="cw " score="5"/> |
| 116 | + <response name="CCW" input="i1" match="ccw" score="0"/> |
| 117 | + <no_response score="0"/> |
| 118 | + </part> |
| 119 | + </fill_in_the_blank> |
| 120 | + </page> |
| 121 | + <page> |
| 122 | + <content> |
| 123 | + <p>Determine the moment of the force about the point O.</p> |
| 124 | + <image src="../webcontent/stati cs_quiz4_image4.gif"/> |
| 125 | + </content> |
| 126 | + <numeric id="q7"> |
| 127 | + <body><p>Component of F perpendicular to OP = <input_ref input="i1"/> N</p></body> |
| 128 | + <input id="i1"/> |
| 129 | + <part id="p1"> |
| 130 | + <skillref idref="resolve_into_components"/> |
| 131 | + <response name="15.32" input="i1" match="(14.554, 16.086)" score="15"/> |
| 132 | + <response input="i1" match="*" score="0"/> |
| 133 | + <no_response score="0"/> |
| 134 | + </part> |
| 135 | + </numeric> |
| 136 | + <numeric id="q8"> |
| 137 | + <body><p>Magnitude of moment (enter positive number; pay attention to units) = |
| 138 | + <input_ref input="i1"/> N-m</p></body> |
| 139 | + <input id="i1"/> |
| 140 | + <part id="p1"> |
| 141 | + <skillref idref="find_moment_arm"/> |
| 142 | + <response name="7.66" input="i1" match="(7.277, 8.043)" score="15"/> |
| 143 | + <response input="i1" match="*" score="0"/> |
| 144 | + <no_response score="0"/> |
| 145 | + </part> |
| 146 | + </numeric> |
| 147 | + <fill_in_the_blank id="q9"> |
| 148 | + <body><p>Sense of moment = <input_ref input="i1"/></p></body> |
| 149 | + <input id="i1" shuffle="false"> |
| 150 | + <choice value="cw">CW</choice> |
| 151 | + <choice value="ccw">CCW</choice> |
| 152 | + </input> |
| 153 | + <part id="p1"> |
| 154 | + <skillref idref="moment_sign_sense_relation"/> |
| 155 | + <skillref idref="rotation_sense_of_force"/> |
| 156 | + <response name="CW" input="i1" match="cw" score="0"/> |
| 157 | + <response name="CCW" input="i1" match="ccw" score="5"/> |
| 158 | + <no_response score="0"/> |
| 159 | + </part> |
| 160 | + </fill_in_the_blank> |
| 161 | + </page> |
| 162 | +</assessment> |
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