推 lty518 :太快了吧 11/13 20:04
※ 編輯: NBASCIDM 來自: 123.192.59.40 (11/13 20:39)
課程名稱︰普通物理甲上
課程性質︰大一共同必修
課程教師︰黃暉理
開課學院：生農學院
開課系所︰生物產業機電工程學系
考試日期（年月日）︰2008/11/13
考試時限（分鐘）：110分鐘
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1.A sphere and a cylinder,having the same mass and radius,start from rest and
roll down the same incline.
(a)Calculate the rotational interia of sphere and cylinder of mass M,radius
R.
(b)Which body gets to the bottom first? Why?
╲ M,R
╲○
╲
╲
θ ╲
__________╲
2.Four similar,uniform blocks of length L are stacked on a table as shown in
the figure. We seek to maximize the overhang distance h,measured from the
edge of the table.What is the maximum distance h for the arrangement shown
in the figure?
L
╴╴╴╴╴╴╴╴
｜╴╴╴╴╴╴╴╴｜╴╴╴╴╴╴╴╴
｜╴╴╴╴╴╴╴╴｜╴╴╴╴╴╴╴╴｜
∣╴╴╴╴╴╴╴╴∣
￣￣￣￣￣￣￣｜
｜←———h—————→
｜
｜
3.A large cylindrical roll of tissue paper of initial radius R lies on a long,
horizontal surface with the open end of the paper nailed to the surface so
that it can unroll easily. The roll is given a slight shove(V0～0) and start
to roll to the right. What is the speed of the center of the mass of the
roll when its radius has dimension is r?
大圓R 小圓r
╴○╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴○╴╴╴╴╴╴╴
4.A batter hits a pitched ball at a height 4.0ft above ground.Its angle of
projection is 45度 and its horizontal range is 350ft. The ball is fair down
the left field line where a 24ft fence is located 320ft from the home plate.
Will the ball clear the fence? If so,how much?
5.The potential energy shared by atomic molecule is given by
U(r)=U0[(r0/r)^12－2(r0/r)^6]
(a)Show that the minimum potential energy is －U0 and that is occurs at r0.
(b)Sketch U(r).
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◆ From: 140.112.7.59
※ 編輯: NBASCIDM 來自: 140.112.7.59 (11/13 14:53)
※ 編輯: NBASCIDM 來自: 140.112.7.59 (11/13 14:53)