5. Two blocks of masses m and 2m are held against a massless compressed spring within a box of mass 3m and length 4L whose center is at x=0. All surfaces are frictionless. After the blocks are released, they are each at a distance L from the ends of the box when they lose contact with the spring. Both blocks keeps moving until they collide with the box and stick to it. Find the distance of the center of the box moves from x=0 after both blocks stick to the box.

詳解 (共 1 筆)

助人為本
助人為本
詳解 #7414082
2026/06/20
所以這題考質心
沒有受到外力和摩擦力
質心位置不變
彈簧拉開的時候
所以m會移動-L
2m會移動+L
3m盒子不動0
6a35fc1fa6954.jpg
然後我們假設最後盒子的中心在X處
所以左邊的木塊會是在X-2L
右邊的木塊會是在X+2L
然後盒子的質心在X處
6a35fc90b19eb.jpg
所以盒子中心移動距離L/6向左