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【段考】高三數學上學期
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98年 - 師大附中 高三(上學期) →第二次期中考數學+解答(音樂班)#55756
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【已刪除】1. The cross sectional area of the rectangular beam (Figure la.) and the T beam (Figure .) is 24 cm2 , respectively. It is noted that the area moment of inertia of the rectangular area (with respect to the centroid (幾何中心)and x-axis {i.e. /Ixc)) is 72 cm4 {i.e. 4(63)/12 = 72cm4). Please locate the centroid (C) of the cross-sectional area of the T beam, and then find the area moment of inertia (Ixc) of T beam as shown in Figure . What will be your comments if compare with the answer of Figure and . ? (Note: the dimensions in Figures la and b are not in scales) (35%)簡易中文提示(詳 情請閱讀原題目):圖la及lb截面積相等,求圖16的幾何中心及其面積慣性矩 (Ixc),並與圖la的面積慣性矩比較,且寫出你的看法。注意:圖中各標記尺寸並不 一定等比例。
#210628
【已刪除】2. Give reasons why a zero-force member like AE in Figure 2 is still an important part of the truss even if it is not carrying any load. (15%)
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【已刪除】3. Rod AB rotates about point A as shown in Figure 3. Its motion is defined by 9 = 4t3. Where 0 is in radians and t is in seconds. At t = 0.5 seconds, what will be the magnitude of the acceleration of end B. (20%)
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【已刪除】4. A 50-lb block is acted upon by an 80 lbs force as shown in Figure 4. If the block is initially at rest, determine its velocity after it has traveled a distance of 10 ft. Assume coefficient of kinetic friction between the block and the plane to be 0.2. (30%)
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