Hydrostatic Force Trapezoidal Dam JSFH
<Text-field style="Heading 1" layout="Heading 1">Problem 4-25</Text-field> JSFH The water behind a trapezoidal dam (Dimensions in ft: 25 \303\227 15 \303\227 15 \303\227 15, with longest edge uppermost) is 10 ft deep. Find the total hydrostatic force on this structure if water weighs 62.5 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEkbGJzRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIi9GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdRJXRydWVGJy8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4xNjY2NjY3ZW1GJy8lJ3JzcGFjZUdGSi1JJW1zdXBHRiQ2JS1GLDYlUSNmdEYnRi9GMi1GIzYkLUkjbW5HRiQ2JFEiM0YnRjJGMi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGMg==.
JSFH
<Text-field style="Heading 1" layout="Heading 1">Solution</Text-field> JSFH Measure LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= positive upwards from the bottom of the dam. From Figure 1 and Table 1: At depth LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiZEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIzEwRidGOS1GNjYtUSgmbWludXM7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjIyMjIyMjJlbUYnL0ZORlctRiw2JVEieUYnRi9GMkY5, a horizontal strip of height LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjZHlGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn has area 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. Pressure along this strip: 62.5 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=. The force on this strip is the product of the pressure and the area.
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 \316\224 ABG LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkmbW92ZXJHRiQ2JS1JI21vR0YkNi9RIj1GJy8lK2JhY2tncm91bmRHUS5bMjA0LDI1NSwyMDRdRicvJSdvcGFxdWVHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtRiM2Ji1GLzYvUSgmVGlsZGU7RidGMkY1RjhGO0Y+RkBGQkZERkZGSEZKRk1GMkY1RjgvRklGN0YyRjVGOA==\316\224 ADE 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 Area of the horizontal strip: 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 Pressure at depth LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=: 62.5 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtbkdGJDYkUSMxMEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RKCZtaW51cztGJ0Y0LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkwtSSNtaUdGJDYlUSJ5RicvJSdpdGFsaWNHUSV0cnVlRicvRjVRJ2l0YWxpY0YnRjRGNC1GUDYjUSFGJ0Y0 Force along horizontal strip: 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 -%%PLOTG6+-%'CURVESG6%7'7$$!#?!""$""!!""7$$"#?!""$""!!""7$$"#S!""$"#S!""7$$!#S!""$"#S!""7$$!#?!""$""!!""-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%&STYLEG6#%%LINEG-%'CURVESG6%7$7$$!#?!""$""!!""7$$!#?!""$"#S!""-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%&STYLEG6#%%LINEG-%'CURVESG6%7$7$$"#?!""$""!!""7$$"#?!""$"#I!""-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%&STYLEG6#%%LINEG-%'CURVESG6%7'7$$!#?!""$""!!""7$$"#?!""$""!!""7$$"#S!""$"#S!""7$$!#S!""$"#S!""7$$!#?!""$""!!""-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%&STYLEG6#%%LINEG-%'CURVESG6%7$7$$!#?!""$""!!""7$$!#?!""$"#S!""-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%&STYLEG6#%%LINEG-%'CURVESG6%7$7$$"#?!""$""!!""7$$"#?!""$"#I!""-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%&STYLEG6#%%LINEG-%*AXESSTYLEG6#%%NONEG-%(SCALINGG6#%,CONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"#q!""-%)BOUNDS_YG6#$"$?'!""-%-BOUNDS_WIDTHG6#$"%]X!""-%.BOUNDS_HEIGHTG6#$"%!G#!""-%)CHILDRENG66-%%LINEG6'-%(OUTLINEG6#-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%/LINE_THICKNESSG6#$"$."!""-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"27yD9Y&yHB!#9$"1`WJZZ$)p@!#8-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%*LINESTYLEG6#""!-%%DATAG6$7$$"'Zvz!"%$")%fo8#!"&7$$"(C?'Q!"%$"'"G?#!"$-%%LINEG6(-%(OUTLINEG6#-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%/LINE_END_ARROWG6#Q-filled-arrow6"-%/LINE_THICKNESSG6#$"),+]5!"(-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"119>rHtkI!#8$"0DcEs:hb#!#7-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%*LINESTYLEG6#""!-%%DATAG6$7$$"(L(fI!"%$"%+H!""7$$"(L(fI!"%$")9B7A!"&-%/TEXT_CONTAINERG6(-%/LINE_THICKNESSG6#$"#5!""-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"2Dc,mw5a/%!#9$"2D"y+3KTg@!#9-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTG6#%%trueG-%%DATAG6%7$$")3T?R!"&$")KTv?!"&7$$"$]#!""$"$q"!""%'CLOSEDG-%*PARAGRAPHG6#Qg_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6"-%/TEXT_CONTAINERG6(-%/LINE_THICKNESSG6#$"#5!""-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"11RvZRBBK!#8$"/v$fL%pYD!#6-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTG6#%%trueG-%%DATAG6%7$$"(M#=J!"%$")VpJC!"&7$$"$5#!""$"$I#!""%'CLOSEDG-%*PARAGRAPHG6#Q[_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"-%%LINEG6(-%(OUTLINEG6#-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%/LINE_END_ARROWG6#Q-filled-arrow6"-%/LINE_THICKNESSG6#$"),+]5!"(-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"2vV[Y,!RbI!#9$"1s6&*\u"*z;!#8-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%*LINESTYLEG6#""!-%%DATAG6$7$$"'R]I!"$$")Qb87!"&7$$"'R]I!"$$")6GY@!"&-%/TEXT_CONTAINERG6(-%/LINE_THICKNESSG6#$"#5!""-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"1Z![UNWPx#!#8$"2DcwfPg()p"!#9-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTG6#%%trueG-%%DATAG6%7$$")WuQD!"&$")/wt:!"&7$$")&)***z%!"'$"$]#!""%'CLOSEDG-%*PARAGRAPHG6#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6"-%/TEXT_CONTAINERG6(-%/LINE_THICKNESSG6#$"#5!""-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"2c^.68G\F#!#9$"2voa&=Su]I!#9-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTG6#%%trueG-%%DATAG6%7$$")"G\9#!"&$"(W2&H!"%7$$"$g#!""$"$+#!""%'CLOSEDG-%*PARAGRAPHG6#Qc[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"-%/TEXT_CONTAINERG6(-%/LINE_THICKNESSG6#$"#5!""-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"2c^.68G\F#!#9$"2voa&=Su]I!#9-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTG6#%%trueG-%%DATAG6%7$$")"G\9#!"&$"(W2&H!"%7$$"$g#!""$"$+#!""%'CLOSEDG-%*PARAGRAPHG6#Qc[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"-%/TEXT_CONTAINERG6(-%/LINE_THICKNESSG6#$"#5!""-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"1e#*)R@mrV%!#9$"2vVBSiR7#=!#9-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTG6#%%trueG-%%DATAG6%7$$")i;PJ!"'$")'Rir"!"&7$$"$g#!""$"$5#!""%'CLOSEDG-%*PARAGRAPHG6#Qc[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"-%/TEXT_CONTAINERG6(-%/LINE_THICKNESSG6#$"#5!""-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"2voHH]S'pU!#9$"2ils>x`Ny"!#9-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTG6#%%trueG-%%DATAG6%7$$")0kCT!"&$")Qby;!"&7$$"$!H!""$"$5#!""%'CLOSEDG-%*PARAGRAPHG6#Qc[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"-%/TEXT_CONTAINERG6(-%/LINE_THICKNESSG6#$"#5!""-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"1b&=:V&*Gs'!#9$"2W[rK5iDp%!#:-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTG6#%%trueG-%%DATAG6%7$$")a*Gd&!"'$"(iDf$!"&7$$")/++B!"'$"$?#!""%'CLOSEDG-%*PARAGRAPHG6#Qc[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6"-%/TEXT_CONTAINERG6(-%/LINE_THICKNESSG6#$"#5!""-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"2iS;V<"*=<"!#9$"2v=#*>z'epI!#9-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTG6#%%trueG-%%DATAG6%7$$")7*=1"!"&$")oepH!"&7$$"$?#!""$"$+#!""%'CLOSEDG-%*PARAGRAPHG6#Qc[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6"-%/TEXT_CONTAINERG6(-%/LINE_THICKNESSG6#$"#5!""-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"0v$fevuyf!#8$"2Q%)RLnx')=#!#9-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTG6#%%trueG-%%DATAG6%7$$")wuG]!"'$")xn$4#!"&7$$"$!>!""$"$!>!""%'CLOSEDG-%*PARAGRAPHG6#Qc[oCjxUZXh0LWZpZWxkIHN1cGVyc2NyaXB0PSJmYWxzZSIgcGxhY2Vob2xkZXI9ImZhbHNlIiBleGVjdXRhYmxlPSJmYWxzZSIgc2VsZWN0aW9uLXBsYWNlaG9sZGVyPSJmYWxzZSIgaXRhbGljPSJmYWxzZSIgc2l6ZT0iMTIiIGJvbGQ9ImZhbHNlIiBzdWJzY3JpcHQ9ImZhbHNlIiBmYW1pbHk9IlRpbWVzIE5ldyBSb21hbiIgb3BhcXVlPSJmYWxzZSIgdW5kZXJsaW5lPSJmYWxzZSIgYmFja2dyb3VuZD0iWzI1NSwyNTUsMjU1XSIgcmVhZG9ubHk9ImZhbHNlIiBmb3JlZ3JvdW5kPSJbMCwwLDBdIiBhbGlnbm1lbnQ9ImxlZnQiIGZpcnN0aW5kZW50PSIwIiBzcGFjZWJlbG93PSIwIiBsZWZ0bWFyZ2luPSIwIiBsaW5lc3BhY2luZz0iMC4wIiBpbml0aWFsPSIwIiBsaW5lYnJlYWs9InNwYWNlIiByaWdodG1hcmdpbj0iMCIgYnVsbGV0c3VmZml4PSIiIHNwYWNlYWJvdmU9IjAiIGJ1bGxldD0ibm9uZSIgcGFnZWJyZWFrLWJlZm9yZT0iZmFsc2UiPjxGb250IHN1cGVyc2NyaXB0PSJmYWxzZSIgcGxhY2Vob2xkZXI9ImZhbHNlIiBleGVjdXRhYmxlPSJmYWxzZSIgc2VsZWN0aW9uLXBsYWNlaG9sZGVyPSJmYWxzZSIgaXRhbGljPSJmYWxzZSIgc2l6ZT0iMTIiIGJvbGQ9ImZhbHNlIiBzdWJzY3JpcHQ9ImZhbHNlIiBmYW1pbHk9IlRpbWVzIE5ldyBSb21hbiIgb3BhcXVlPSJmYWxzZSIgdW5kZXJsaW5lPSJmYWxzZSIgYmFja2dyb3VuZD0iWzI1NSwyNTUsMjU1XSIgcmVhZG9ubHk9ImZhbHNlIiBmb3JlZ3JvdW5kPSJbMCwwLDBdIj5CPC9Gb250PjwvVGV4dC1maWVsZD4=6"-%/TEXT_CONTAINERG6(-%/LINE_THICKNESSG6#$"#5!""-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"2voHzPP95#!#:$"2JqqCy?0E"!#9-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTG6#%%trueG-%%DATAG6%7$$")uV,5!"'$")3_!="!"&7$$"$?#!""$"$g"!""%'CLOSEDG-%*PARAGRAPHG6#Qc[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6"-%/TEXT_CONTAINERG6(-%/LINE_THICKNESSG6#$"#5!""-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"2L'[)p4/SN"!#:$"1%fe+1*4G\!#9-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTG6#%%trueG-%%DATAG6%7$$"(T+a$!"'$"(*4yR!"&7$$"$+#!""$"$!>!""%'CLOSEDG-%*PARAGRAPHG6#Qc[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6"-%/TEXT_CONTAINERG6(-%/LINE_THICKNESSG6#$"#5!""-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"2(zmfh7i!>"!#9$"1"GQnSaak%!#9-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTG6#%%trueG-%%DATAG6%7$$"*E@15"!"'$")WX&p$!"'7$$")3++=!"'$"$!>!""%'CLOSEDG-%*PARAGRAPHG6#Qc[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6"-%/TEXT_CONTAINERG6(-%/LINE_THICKNESSG6#$"#5!""-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"0v$f$o]>K"!#7$"2Q%)RLnx'[5!#9-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTG6#%%trueG-%%DATAG6%7$$")2&>A"!"&$"(xn`*!"&7$$"$+#!""$"$!>!""%'CLOSEDG-%*PARAGRAPHG6#Qc[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6"-%/TEXT_CONTAINERG6(-%/LINE_THICKNESSG6#$"#5!""-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"/DcwMc28!#6$"1Dc,;k#3*>!#8-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTG6#%%trueG-%%DATAG6%7$$")Nc#>"!"&$")k#e!>!"&7$$"$I#!""$"$q"!""%'CLOSEDG-%*PARAGRAPHG6#Qc[oCjxUZXh0LWZpZWxkIHN1cGVyc2NyaXB0PSJmYWxzZSIgcGxhY2Vob2xkZXI9ImZhbHNlIiBleGVjdXRhYmxlPSJmYWxzZSIgc2VsZWN0aW9uLXBsYWNlaG9sZGVyPSJmYWxzZSIgaXRhbGljPSJmYWxzZSIgc2l6ZT0iMTIiIGJvbGQ9ImZhbHNlIiBzdWJzY3JpcHQ9ImZhbHNlIiBmYW1pbHk9IlRpbWVzIE5ldyBSb21hbiIgb3BhcXVlPSJmYWxzZSIgdW5kZXJsaW5lPSJmYWxzZSIgYmFja2dyb3VuZD0iWzI1NSwyNTUsMjU1XSIgcmVhZG9ubHk9ImZhbHNlIiBmb3JlZ3JvdW5kPSJbMCwwLDBdIiBhbGlnbm1lbnQ9ImxlZnQiIGZpcnN0aW5kZW50PSIwIiBzcGFjZWJlbG93PSIwIiBsZWZ0bWFyZ2luPSIwIiBsaW5lc3BhY2luZz0iMC4wIiBpbml0aWFsPSIwIiBsaW5lYnJlYWs9InNwYWNlIiByaWdodG1hcmdpbj0iMCIgYnVsbGV0c3VmZml4PSIiIHNwYWNlYWJvdmU9IjAiIGJ1bGxldD0ibm9uZSIgcGFnZWJyZWFrLWJlZm9yZT0iZmFsc2UiPjxGb250IHN1cGVyc2NyaXB0PSJmYWxzZSIgcGxhY2Vob2xkZXI9ImZhbHNlIiBleGVjdXRhYmxlPSJmYWxzZSIgc2VsZWN0aW9uLXBsYWNlaG9sZGVyPSJmYWxzZSIgaXRhbGljPSJmYWxzZSIgc2l6ZT0iMTIiIGJvbGQ9ImZhbHNlIiBzdWJzY3JpcHQ9ImZhbHNlIiBmYW1pbHk9IlRpbWVzIE5ldyBSb21hbiIgb3BhcXVlPSJmYWxzZSIgdW5kZXJsaW5lPSJmYWxzZSIgYmFja2dyb3VuZD0iWzI1NSwyNTUsMjU1XSIgcmVhZG9ubHk9ImZhbHNlIiBmb3JlZ3JvdW5kPSJbMCwwLDBdIj5HPC9Gb250PjwvVGV4dC1maWVsZD4=6"-%/TEXT_CONTAINERG6(-%/LINE_THICKNESSG6#$"#5!""-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"2D19%*R4l"Q!#9$"2Dc,mEBK.#!#9-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTG6#%%trueG-%%DATAG6%7$$")%4lp$!"&$")LAL>!"&7$$"$S#!""$"$+#!""%'CLOSEDG-%*PARAGRAPHG6#Qc[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6"-%%LINEG6'-%(OUTLINEG6#-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%/LINE_THICKNESSG6#$"#I!""-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"2O$p&3WG,M#!#9$"2(HacaSBO7!#9-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%*LINESTYLEG6#""!-%%DATAG6$7$$")EM?P!"'$"*0M7B"!"'7$$")FA3V!"&$"*0M7B"!"' Table 1 Given data and consequences Figure 1 Hydrostatic force on the dam
Using the Expression palette, form the integral 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 JSFH Control-drag the integral. Alternatively: Expression palette\342\211\273 definite-integral template Context Menu: Evaluate and Display Inline JSFH
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= JSFH