推 martin790210:你手腳真快= =被你搶先 11/13 21:56
※ 編輯: dodo0924 來自: 140.112.240.175 (11/13 23:49)
推 Energiya :其實計算機沒用吧 都文字數.... 11/14 12:34
→ dodo0924 :是阿...計算機搞笑用的XD 11/14 12:38
課程名稱︰普通物理甲上
課程性質︰必修
課程教師︰高涌泉
開課學院：理學院
開課系所︰物理學系
考試日期（年月日）︰97/11/13
考試時限（分鐘）：120
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1.A block of mass m is attached to a spring with spring constant k.
The block is pulled from its equilibrium position and then released.
(a)What is the angular frequency of the resulting simple harmonic
motion?(5%)
(b)If in addition to the spring force the block is also subject to a
damping force (F=-bv, b is the damping constant), what is the
angular frequency of the damped oscillation?(10%)
2.What force is needed to cause a body of mass m to move in a straight
→ ^
line at a uniform velocity ( V =Vo r ) and normal to the axis of
^ → ^
rotation ( z ), as viewed in a frame in uniform rotation ( w = w z )?
See Fig. 1 (20%)
3.In Fig.2, a stick of length L oscillates as a physical pendulum.
(a)What is the distance x between the stick's center of mass and its
pivot point O that gives the least period ?(10%)
(b)What is that least period ?(10%)
O ／
z ﹨﹨↘
│ ╱﹨﹨ L/2
│ → ^ ﹨﹨
│ path V =Vo r x ﹨﹨↖
│ ↓ ╱﹨﹨／
│-------˙→ ﹨﹨↘
∕ ＼ m ﹨﹨ L/2
∕ ＼ ﹨﹨
∕ ＼ ﹨﹨↖
∕ ＼ ﹨﹨╱
x y
Fig.1 Fig.2
4.In Fig.3, a particle of mass m is a distance d from one end of a uniform
rod with length L and mass M. What is the magnitude of the gravitational
→
force F on the particle from the rod?(10%)
→ ^ ^
5.(a)Is the force of the form F(r)=f(r)θ, where θ is a unit vector
perpendicular to the radius vector, conservative? Why?(5%)
→ ^
(b)Is the force F(x,y)=xy^2 i conservative? Why?(5%)
^ ^
(c)Is the force F(x,y)=ky i - kx j ( k is a constant ) conservative? Why?
(5%)
6.A uniform rope of mass m and length L hangs from a ceiling.
(a)What is the speed of a transverse wave on the rope when the wave is at
a distance y from the lower end?(10%)
(b)What is the time a transverse wave take to travel the length of the
rope?(10%)
m M
˙ ▃▃▃▃▃▃▃▃▃▃▃▃
│←d→│← L →│
Fig.3
PS.可以使用計算機
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