[問題] Center of Mass
真的很感謝上次各位鄉民的幫忙
那次的考試進行十分順利^^
不過...我又要來叨擾大家了
這是我這次的問題~"~
CM of a thin rod.
(a) Show that the CM of a uniform thin rod of length l and mass M is at its
center.
(b) Determine the CM of the rod assuming its linear mass density λ
(its mass per unit length) varies linearly from λ = λ0 at the left end to
double that value, λ = 2λ0, at the right end.
A:(a)pieces:0-1/2L,1/2L-1
(1/4L*1/2m+1/2m+3/4mL*1/2m)/m=1/2L
然後我就不懂
m=integral(λdx)(x=0+0*x=L)=λL
dm=λdx,2λo=a+bL,λo=a b=λo/L
λ=λo+λo/Lx
CM=integral(xdm)(x=0 to x=L)=integral[x(λo+λo/Lx)dx](x=0 to x=L)
圖在這裡:http://ppt.cc/sRej
密碼是:ptt123
女生也想要物理強~
↑這句話又不是針對我個人,幹嘛那麼怒
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 61.64.144.55
※ 編輯: girl7812 來自: 61.64.144.55 (12/09 22:44)
→
12/09 22:45, , 1F
12/09 22:45, 1F
→
12/09 22:45, , 2F
12/09 22:45, 2F
推
12/09 22:55, , 3F
12/09 22:55, 3F
→
12/09 23:10, , 4F
12/09 23:10, 4F
推
12/09 23:13, , 5F
12/09 23:13, 5F
→
12/09 23:13, , 6F
12/09 23:13, 6F
只要放在ptt上的圖我的會放在這本相簿
設密碼是因為之前有些照片不是希望所有人都看得到
→
12/09 23:15, , 7F
12/09 23:15, 7F
→
12/09 23:16, , 8F
12/09 23:16, 8F
→
12/09 23:17, , 9F
12/09 23:17, 9F
噓
12/09 23:17, , 10F
12/09 23:17, 10F
→
12/09 23:19, , 11F
12/09 23:19, 11F
※ 編輯: girl7812 來自: 61.64.144.55 (12/09 23:38)
→
12/09 23:20, , 12F
12/09 23:20, 12F
問題就是身邊沒有人會...
推
12/09 23:20, , 13F
12/09 23:20, 13F
→
12/09 23:22, , 14F
12/09 23:22, 14F
→
12/09 23:23, , 15F
12/09 23:23, 15F
→
12/09 23:24, , 16F
12/09 23:24, 16F
→
12/09 23:24, , 17F
12/09 23:24, 17F
→
12/09 23:24, , 18F
12/09 23:24, 18F
→
12/09 23:25, , 19F
12/09 23:25, 19F
→
12/09 23:25, , 20F
12/09 23:25, 20F
→
12/09 23:28, , 21F
12/09 23:28, 21F
→
12/09 23:28, , 22F
12/09 23:28, 22F
→
12/09 23:29, , 23F
12/09 23:29, 23F
我的"講義"沒答案,問題是沒錢買課本
※ 編輯: girl7812 來自: 61.64.144.55 (12/09 23:44)
※ 編輯: girl7812 來自: 61.64.144.55 (12/09 23:46)
推
12/09 23:46, , 24F
12/09 23:46, 24F
→
12/09 23:46, , 25F
12/09 23:46, 25F
→
12/09 23:46, , 26F
12/09 23:46, 26F
→
12/09 23:46, , 27F
12/09 23:46, 27F
→
12/09 23:51, , 28F
12/09 23:51, 28F
推
12/09 23:56, , 29F
12/09 23:56, 29F
推
12/09 23:56, , 30F
12/09 23:56, 30F
→
12/09 23:56, , 31F
12/09 23:56, 31F
→
12/09 23:57, , 32F
12/09 23:57, 32F
→
12/09 23:58, , 33F
12/09 23:58, 33F
推
12/09 23:59, , 34F
12/09 23:59, 34F
→
12/09 23:59, , 35F
12/09 23:59, 35F
推
12/10 00:04, , 36F
12/10 00:04, 36F
→
12/10 00:04, , 37F
12/10 00:04, 37F
謝謝你辛苦的解答,只能說我基礎不好,不應該拿這麼簡單的問題來打擾各位
※ 編輯: girl7812 來自: 61.64.144.55 (12/10 01:06)
推
12/10 09:31, , 38F
12/10 09:31, 38F
→
08/13 15:58, , 39F
08/13 15:58, 39F
→
09/17 13:58, , 40F
09/17 13:58, 40F
→
11/09 12:07, , 41F
11/09 12:07, 41F
→
01/02 14:37,
7年前
, 42F
01/02 14:37, 42F
→
07/06 22:43,
6年前
, 43F
07/06 22:43, 43F