课程名称︰普通物理学甲上
课程性质︰物理系大一必带
课程教师︰邱雅萍
开课学院：理学院
开课系所︰物理学系
考试日期（年月日）︰2018/01/09
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 :
国立台湾大学物理系106-1学年度普通物理学期末考 2018.01.09
答题须知：
一、作答时，请标明题号，考试时间为10:20~12:10。
二、请详列相关公式及计算过程，记得写上单位，并以M.K.S制表示。
1.(5%)[Coriolis Force] This week, as the "bomb cyclone" hits the Northest in
the United States, conditions steadily worsen in Long Island, New York.(See
Figure.1) The air moves and the rotation of the Earth creates a cyclone
effect. Explain why the air rotates by the counterclockwise direction in
the Northern hemisphere (when viewed from above) by the Coriolis Force.
2.(10%)[The motion of liquid: Bernoulli's equation]
(1)(10%) You can use a hairdryer to do the following experiment. A strong
wind blows two pieces of papers. However, the space between these two
pieces of papers will close. Explain the phenomenon. (See movie 1)
3.(20%)[Rolling and Precession]
(1)(5%) Why does a rolling bicycle have greater stability than one at rest?
(2)(5%) Explain why in precessional motion, the torque changes the direction
of the spin angular momentum without changing its magnitude.
(3)(10%) Cylinder C (mass 10.0 kg and radius 0.070 m) rolls without slipping
on hill H as shwon in Figure 2. THe string does not strtch and is wrapped
around the cylinder C. What are the magnitude and direction of the accel-
eration?
4.(20%)[Oscillation]
(1)(10%) A long rod (length= L) is pivoted freely about an axis that does
not pass through its center of mass. Such an arrangement forms a physical
pendulum that executes SHM for small angular displacements. Compare the
period of the oscillation when we have a simple pendulum (length= L) and
set into oscillation. (See movie 2)
(2)(10%) When displaced and released, the 2kg mass in Figure 3 oscillates on
the frictionless horizontal surface with period π/6 seconds. If a small
mass is placed on the 2kg block and the coefficient of static friction
between the small mass and the 2kg block is 0.1, what is the maximum amp-
litude of oscillation before the small mass slips? (Assume the period is
unaffected by adding the small mass.)
│ ┌─┐
│ │ m│
│ k ┌┴─┴┐ Fig.3
├