作者NBASCIDM (战神)
看板NTU-Exam
标题[试题] 97上 黄晖理 普物甲上 期中考
时间Thu Nov 13 14:50:14 2008
课程名称︰普通物理甲上
课程性质︰大一共同必修
课程教师︰黄晖理
开课学院:生农学院
开课系所︰生物产业机电工程学系
考试日期(年月日)︰2008/11/13
考试时限(分钟):110分钟
是否需发放奖励金:是
(如未明确表示,则不予发放)
试题 :
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?
大圆R 小圆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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