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）︰2013/10/22
考試時限（分鐘）：60
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
題目圖片：http://i.imgur.com/vKq88zo.jpg
1. A ball mass m with initial velocity equals to 0 slide from a slope composed
1
by 4 parts. AB(/BC) is the quarter of circle with radius R (/R .) CD(/DE) is
1 2
a slope with length S (/S ) and angle θ(/θ) (θ = π/4 ). AB and CD are
1 2 1 2 1
frictionless, BC's(/DE's) coefficient of kinetic friction is μ (/μ ). All
1 2
the collisions between the ball and the slope are completely inelastic
collisions. (50 pt.)
Note:
R < 3R
2 1
S > 6R
1 1
θ > θ
1 2
Magnitude of velocity v at B
1
First collision at time t, height h, velocity at the moment before the first
collision v , after the collision v and the energy waste W.
2b 2
Magnitude of velocity v at D
3
Magnitude of velocity v at E
4
Magnitude of velocity v , v after the last collision of m , m
5 6 1 2
(a) What is the magnitude of velocity v as the ball reach B? (Show it by g,
1
R )
1
(b) After the ball reach B, the ball will fly then hit the slope (Considered
as completely inelastic collision). What is the hitting time t, hitting
height h, the magnitudes of velocities at the moment before and after
the collision (v and v ) and the energy waste W in the collision?
2b 2
(Show h by v , S , S , θ, g, R and μ , show the others by m , v , S ,
1 1 2 2 2 1 1 1 1
g, R and μ )
2 1
(c) What is the magnitude of velocity v as the ball reach D? (Show it by v
3 1
, S , g, R and μ )
1 2 1
(d) What is the magnitude of velocity v as the ball reach E? (Show it by v
4 3
, S , θ, μ and g)
2 2 2
(e) After m reach the ground, it does a completely elastic collision with
1
m with initial velocity = 0. What are the velocities of m and m after
2 1 2
the collision (v and v )? (Show them by m , m and v )
5 6 1 2 4
2. Calculate the rotational inertia of
(a) The spherical thin shell with mass m radius R.
(b) Uniform solid block with mass m.
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第01話 似乎在課堂上聽過的樣子 第02話 那真是太令人絕望了
第03話 已經沒什麼好期望了 第04話 被當、21都是存在的
第05話 怎麼可能會all pass 第06話 這考卷絕對有問題啊
第07話 你能面對真正的分數嗎 第08話 我，真是個笨蛋
第09話 這樣成績，教授絕不會讓我過的 第10話 再也不依靠考古題
第11話 最後留下的補考 第12話 我最愛的學分
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※ 編輯: xavier13540 (140.112.196.111), 06/23/2014 12:44:56