一、有一載重P經由剛性板傳遞到三根線彈性(linear andelastic)金屬桿上,如圖一所示。由圖一可以發現中間桿比其他兩桿短了一點(間隙S),左右兩根金屬桿長度為L,三
根桿件的彈性模數皆為,三根桿件橫截面積皆為A。(答案用E、A、L、S表示)
4.(25%) Let P2 denote the vector space of all polynomials of degree less than 2. (Consider the transformation L:P2 →R2 defined by L(p(x)): = with undecided parameters a>0 and . Let A be the matrix representation of transformation L with respect to the ordered bases E = [I, x] and E'= for P2 and R2, respectively.
以下小題僅需依序寫下答案即可,不需做任何推導。