课程名称︰普通物理学甲上 课程性质︰大一必修 课程教师︰李文忠 开课学院：电资学院 开课系所︰电机工程学系 考试日期（年月日）︰2015/11/12 考试时限（分钟）：120 min 试题 : 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. (???) 自行拟一题目 不可以出高中等级物理题目 且 必须跟老师上课内容相关 --

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