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 --

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