4 振盪 尼米茲公路上的悲劇 1989 The Loma Prieta Earthquake, 7.1 on the Richter scale, causes the double-decked Nimitz Freeway (I-880) in Oakland, CA, to collapse,

Presentation on theme: "4 振盪 尼米茲公路上的悲劇 1989 The Loma Prieta Earthquake, 7.1 on the Richter scale, causes the double-decked Nimitz Freeway (I-880) in Oakland, CA, to collapse,"— Presentation transcript:

1 4 振盪 尼米茲公路上的悲劇 1989 The Loma Prieta Earthquake, 7.1 on the Richter scale, causes the double-decked Nimitz Freeway (I-880) in Oakland, CA, to collapse, killing 67, and damages the Embarcadero Freeway, the San Francisco-Oakland Bay Bridge, and other roads in the Bay Area. The death toll is less than at first expected--although the earthquake occurred during evening rush hour, many residents had gone home early to watch the Oakland A's and the San Francisco Giants in the World Series.

2 4.1 簡協運動 Simple Harmonic Motion (SHM) Frequency (頻率) [hertz(Hz)] - f
Period (週期) - T Periodic/harmonic motion displacement

3 振幅、週期、相位、角頻率 角頻率 Amplitude, phase, and angular frequency

4 速度、加速度

5 4.2 SHM 中的作用力

6 例一 板子+二逆向轉軸 力平衡方程式

7 k = 0.40 L = 2.0cm 力矩平衡方程式

8 4.3 SHM 中的能量

9 圖示

10 4.4 An Angular SHM 扭擺

11 例二由扭擺求轉動慣量

12 由扭擺求週期

13 4.5 Pendulum 單擺 The Simple Pendulum

14 物理擺 單擺

15 測量g值

16 例三 圓盤扭擺求週期 h = R/2

17 例四 企鵝跳水 m = 12kg k = 1300N/m

18 4.6 SHM 和等速率圓周運動 SHM 是等速率圓周運動在其圓周直徑之投影

19 有阻滯 S H M Damped (阻尼) 阻滯力 微分方程式

20 指數衰減

21 4.7 強迫振盪與共振 自然頻率與外來驅動頻率 共振條件 共振例 Radio and TV tuning
4.7 強迫振盪與共振 自然頻率與外來驅動頻率 共振條件 共振例 Radio and TV tuning The collapse of the Nimitz freeway The Tacoma narrow bridge The bay of Fundy

22 共振圖示

23 共振圖示

24 例五 盪秋千

25 例六 The Tacoma narrow bridge
Howard Clifford

26 例七 The collapse of the Nimitz freeway

27 例八 全球最大的潮差 Bay of Fundy the average tide range is 12 metres and can reach 16 metres when the various factors affecting the tides are in phase Earth's mid-ocean tide reaches an average height of 0.51 meters

28 敬請期待 物理 V–波動

29 簡協運動的動畫

30 Simple Harmonic Motion

31 Harmonic Motion