National Chin -Yi University of Technology
單面
V
雙面
考試科目
V
Open-book
考試時間
Closed- book
Dynamics
2021 Summer
2:00~4:00PM
機械 系 二 年級 乙
班
2nd
Exam
學號
3A911056
姓名
陳柏諭
日期
命題
教師
2021/7/26
邱俊智
成績
務必自行作答 (討論、抄襲、被抄襲都是作弊的行為，違者以零分計)
答案卷必須寫上姓名及學號、看不清楚的不計分、勿以鉛筆作答、計算題要有計算過程、答案數值要寫單位
可直接在題目卷作答
將考卷轉成pdf再上傳至數位學習平台
1. The 300-kg crate rests on the ground for which the coefficients of static and kinetic friction are s = 0.4x and
k=0.3,
respectively. The winch delivers a horizontal towing force T to its cable at A
which varies as shown in the graph. Determine the speed of the crate when t = 4 s.
Originally the tension in the cable is zero.
(x is the last digit of your student number, 例: 學號 3A911175, 取s = 0.45)
2. The cart has a mass of 10 kg and rolls freely down the slope. When it reaches the bottom, a gun fires a 0.5-kg
ball out the back with a horizontal velocity of vb/c=10+x m/s measured relative to the cart. Determine the final
velocity of the cart. (x is the last digit of your student number, 例: 學號 3A911175, 取 vb/c=15 m/s)
3. At the instant r=1.5 m, the 5-kg disk is given a speed of v=5m/s, perpendicular to the elastic cord. Determine the speed of the
disk and the rate of shortening of the elastic cord at the instant r=1.1y m. The disk slides on the smooth horizontal plane.
Neglect its size. The cord has an unstretched length of 0.6 m and stiffness k=200N/m.
(y is the second last digit of your student number, 例: 學號 3A911175, 取 r=1.17 m )
4. 簡答題:
A.
能量守恆，公式：__________________________________，使用條件：______________________________
B.
功能原理，公式：__________________________________，動能單位為______________________________
C.
線衝量與線動量原理，公式：________________________，線衝量的單位為_______________________
D.
線動量守恆，公式：_________________________________，條件：_______________________________
E.
角衝量與角動量原理，公式：__________________________，角衝量的單位為__________________