課程名稱︰普通物理學甲上
課程性質︰大一必修
課程教師︰李文忠
開課學院：電資學院
開課系所︰電機工程學系
考試日期（年月日）︰2015/11/12
考試時限（分鐘）：120 min
試題 :
1. (The cycloid) A particle moves in x-y plane, with
x(t)=R(ωt-sinωt) y(t)=R(1-cosωt)
1-1 Calculate its velocity v(t) and acceleration a(t).
1-2 Calculate the time T such that v(T)=0 and find out a(T)=?
1-3 Show its trajectory on x-y plane.
2. (Motion with drag only) For a particle with r(0)=r0, v(0)=v0 and F=-γv onl
y.
2-1 Calculate the velocity v(t) and position r(t).
2-2 What's the range of motion from t=0 to t→∞?
Show the relation between |r(t)| and t, assume the angle between r0 and v0
i
3. (Rocket)
3-1 Derive the equation of thrust for a rocket with Fext as the total external
f
3-2 If Fext=0, r(0)=r0, v(0)=v0, m(0)=m0, derive the relation between m and v.
3-3 If dm/dt=-ㄅ, ㄅ is a positive constant, from t=0 to t=T, find out v(T)=?
4. (???)
自行擬一題目
不可以出高中等級物理題目 且 必須跟老師上課內容相關