[問題] 彈簧與滑塊趴兔
剛剛在回想上個問題時突然想到:
題目又沒有說彈簧無質量!!!
之前那位推文解說的版友.說脫離位置是在原長,因為彈簧無質量
"若彈簧無質量,則脫離位置必在原長"這個推論過程我理解了
BUT! 問題沒說彈簧無質量阿!難道有人能跟我解釋為何彈簧必定無質量嗎??
所以,假設彈簧無質量,那上題我知道怎麼想了,
但如果彈簧有質量,那又如何?我又回到問題原點了!
另外,
這是我想的另一個問題:
天花板懸吊一彈簧,在原長處吊上一木塊,鬆開手讓木塊拉著彈簧下墜,
彈簧伸長某個長度之後,連接木塊處斷掉,木塊以重力加速度墜落,
彈簧原長處及斷裂處的高度皆已知,求著地瞬間木塊速度.
一樣是能量守恆,但此題沒有非保守力作功,所以力學能守恆,
我用牛頓第二定律計算的結果,是一定要考慮彈簧殘餘的能量.
問題是,根據之前的講法,彈簧無質量是無法自己震盪的吧?
還是說可以震盪但是週期無限小,依然可以儲存彈力位能?
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