6. A horizontal plank (m = 2.0 kg, L = 1.0 m) is pivoted at one end. A spring (k = 1.0 × 10³ N/m) is attached at the other end, as shown in the figure. Find the angular frequency (in rad/s) for small oscillations.

詳解 (共 1 筆)
助人為本
詳解 #7418203
所以這題看到木板繞一段轉、另一端接小彈簧振盪
我們直接記這個公式

均勻木板繞端點的轉動慣量為

所以代到式子裡可以得到

然後把題目給的數值代入即可求出
為38.7rad