1.1:請推導腳踏車車輪傳動系統動態方程式dynamic equations(共兩條方程式):

題組內容

A.腳踏車動力學:腳踏車通常由兩個機械系統組成,包含車輪機械系統以及踏板機械系統,你將被要求研究這兩個機械系统:

1.車輪機械系統︰請分析圖1的腳踏車傳動系統,其機械自由體圖如圖2表示,其中 T、J、B、θ、ω分別表示扭矩、轉動慣量、阻尼係數、旋轉角度,速度 pedal分別代表採踏输入與後輪負載,Kc為鍊條剛性係数，Ri及R代表輸入端歯輪數及負載端齒輪數。

B. You are requested to participate in a court case as an expert witness. As illustrated in Fig. 6, a spacecraft is known to have unfortunately exploded into three pieces, A, B, and C. ma - 1000 kg, ma = 500 kg, and mc = 500 kg. Telemetry data showed that the positions of the satellitc with respect to a know wn reference ce position O at a particular tim ime were Rwo = (400 i - 1000 ) m, Ro = 1000 j m, and Reo = (800 i + 1000 j) m. The respective velocities were V, = -500j m/s, VB = (-4001 + 500) m/s, and Vc = (400i + 500) m/s. The engineer of the spacecraft company claims that a single explosion caused the described configuration, whereas the lawyer representing the insurance ce company contends that at least two separate explosions were responsible. Who is correct? (You have to describe detailed reasons and calculation results to support your answer. O point will be given if no explanation is provided.)

題組內容

1.1:請推導腳踏車車輪傳動系統動態方程式dynamic equations(共兩條方程式):

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