課程名稱︰普通物理學甲上
課程性質︰數學系大一必帶
課程教師︰黃暉理
開課學院：理學院
開課系所︰數學系
考試日期（年月日）︰2013/11/26
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. Please derive the Bernoulli's equation. (30 pt.)
1 2 1 2
p + -ρv + ρgy = p + -ρv + ρgy
1 2 1 1 2 2 2 2
2. An idealized damped simple harmonic oscillator with damping constant b and
spring constant k. The block's mass is m. If the origin is at the
equilibrium point of the block. And the system initially start with the
amplitude x . (30 pt.)
M
(a) Show the block location x(t) as the function of time t.
(b) What is the angular frequency of the system?
3. Figure shows a pattern of resonant oscillation of a string of mass m and
length L and that is under tension τ.
(a) What is the wavelength λ of the transverse waves producing the
standing-wave pattern?
(b) What is the harmonic number n?
(c) What is the wave speed v?
(d) What is the frequency f of the transverse waves and of the oscillation
of the moving string elements?
▕︵︵︵︵▏
▕︶︶︶︶▏