Formulário_MECÂNICA

Prévia do material em texto

Formulário - MECÂNICA 
 
 
 
0ttt −−−−====∆∆∆∆ 
0xxx −−−−====∆∆∆∆ 
 
0R 
 0ctev
ou
 0ctev
rr
rr
rr
====⇔⇔⇔⇔







≠≠≠≠====
========
 
t
x
vm ∆∆∆∆
∆∆∆∆
==== amR
rr
⋅⋅⋅⋅==== 
dt
dx
t
xlimv
0t
====
∆∆∆∆
∆∆∆∆
====
→→→→∆∆∆∆
 
 2,11,2 FF
rr
−−−−==== 
t
x
vv0ctev:MRU m ∆∆∆∆
∆∆∆∆
========⇒⇒⇒⇒≠≠≠≠==== gmP ⋅⋅⋅⋅==== 
)tt(vxx 00 −−−−⋅⋅⋅⋅++++==== xkFel ∆∆∆∆⋅⋅⋅⋅==== 
0vvv −−−−====∆∆∆∆ NFat ⋅⋅⋅⋅µµµµ==== 
t
v
am ∆∆∆∆
∆∆∆∆
==== NF e
destq
at ⋅⋅⋅⋅µµµµ==== 
dt
dv
t
vlima
0t
====
∆∆∆∆
∆∆∆∆
====
→→→→∆∆∆∆
 
 
 
t
v
aa0ctea:MRUV m ∆∆∆∆
∆∆∆∆
========⇒⇒⇒⇒≠≠≠≠==== 
)tt(avv 00 −−−−⋅⋅⋅⋅++++==== 
2
0000 )tt(2
a)tt(vxx −−−−⋅⋅⋅⋅++++−−−−⋅⋅⋅⋅++++==== 
xa2vv 202 ∆∆∆∆⋅⋅⋅⋅⋅⋅⋅⋅++++==== 
 
αααα sen αααα cos αααα tg αααα 
0o 0 1 0 
30o 2
1
 2
3
 3
3
 
45o 2
2
 2
2
 
1 
60o 2
3
 2
1
 3 
90o 1 0 ∄∄∄∄ 
 
 
 2222 
 
 
 
 
 
0ϕϕϕϕ−−−−ϕϕϕϕ====ϕϕϕϕ∆∆∆∆ 
 
ϕϕϕϕ⋅⋅⋅⋅==== Rl 
 
θθθθ⋅⋅⋅⋅⋅⋅⋅⋅====••••==== cosdxFxdFdW
rr
 
ttttmmmm ∆∆∆∆
ϕϕϕϕ∆∆∆∆
====ωωωω 
 
ϕϕϕϕ∆∆∆∆⋅⋅⋅⋅====∆∆∆∆ Rl 
 
∫∫∫∫∫∫∫∫ ••••========
f
i
f
i
x
x
x
x
xdFdWW
rr
 
dt
d
t
lim
0t
ϕϕϕϕ
====
∆∆∆∆
ϕϕϕϕ∆∆∆∆
====ωωωω
→→→→∆∆∆∆
 
 
mmmmmmmm RRRRvvvv ωωωω⋅⋅⋅⋅==== 
 
θθθθ⋅⋅⋅⋅∆∆∆∆⋅⋅⋅⋅====⇒⇒⇒⇒==== cosxFWcteF
r
 
t
0cte:MCU m ∆∆∆∆
ϕϕϕϕ∆∆∆∆
====ωωωω====ωωωω⇒⇒⇒⇒≠≠≠≠====ωωωω 
 
ωωωω⋅⋅⋅⋅==== RRRRvvvv ∑∑∑∑∑∑∑∑ ====⇒⇒⇒⇒==== iRi WWFR r
rr
 
)tt( 00 −−−−⋅⋅⋅⋅ωωωω++++ϕϕϕϕ====ϕϕϕϕ 
 
RRRRRRRR
vvvvaaaa 2222
2222
CPCPCPCP ⋅⋅⋅⋅ωωωω======== 
 
CR EW ∆∆∆∆====r 
TTTT
1111ffff ==== αααα⋅⋅⋅⋅==== RaTG 
 
2
vm
E
2
C
⋅⋅⋅⋅
==== 
f2
T
2
⋅⋅⋅⋅pipipipi====
pipipipi
====ωωωω 
 
2
TG
2
CPtotal aaa ++++==== 
 
ygmEG ⋅⋅⋅⋅⋅⋅⋅⋅==== 
0ωωωω−−−−ωωωω====ωωωω∆∆∆∆ 
 
∫∫∫∫ ′′′′⋅⋅⋅⋅++++====
t
t
0
0
tdvxx 
 
2
xkE
2
el
⋅⋅⋅⋅
==== 
ttttmmmm ∆∆∆∆
ωωωω∆∆∆∆
====αααα 
 
∫∫∫∫ ′′′′⋅⋅⋅⋅++++====
t
t
0
0
tdavv 
 
vF
dt
dWP
rr
••••======== 
dt
d
t
lim
0t
ωωωω
====
∆∆∆∆
ωωωω∆∆∆∆
====αααα
→→→→∆∆∆∆
 
 
(((( ))))δδδδ++++⋅⋅⋅⋅ωωωω⋅⋅⋅⋅==== ttttcoscoscoscosAAAAxxxx 
 
∫∫∫∫∫∫∫∫ ′′′′⋅⋅⋅⋅••••====′′′′⋅⋅⋅⋅====
t
t
t
t 00
td)vF(tdPW r
r
 
t
cte:MCUV m ∆∆∆∆
ωωωω∆∆∆∆
====αααα====αααα⇒⇒⇒⇒====αααα 
 (((( ))))δδδδ++++⋅⋅⋅⋅ωωωω⋅⋅⋅⋅ωωωω−−−−==== ttttsensensensenAAAAvvvv iMfM EE ==== 
)tt( 00 −−−−⋅⋅⋅⋅αααα++++ωωωω====ωωωω 
 (((( ))))δδδδ++++⋅⋅⋅⋅ωωωω⋅⋅⋅⋅ωωωω−−−−==== ttttcoscoscoscosAAAAaaaa 2222 dissfMiM EEE ====−−−− 
2
0000 )tt(2)tt( −−−−⋅⋅⋅⋅
αααα
++++−−−−⋅⋅⋅⋅ωωωω++++ϕϕϕϕ====ϕϕϕϕ 
 
mmmm
kkkk2222
====ωωωω 
 
atdiss WxNE −−−−====∆∆∆∆⋅⋅⋅⋅⋅⋅⋅⋅µµµµ==== 
ϕϕϕϕ∆∆∆∆⋅⋅⋅⋅αααα⋅⋅⋅⋅++++ωωωω====ωωωω 2202 
 xxxxaaaa 2222ωωωω−−−−==== 
 
)MHS(
2
AkE
2
M
⋅⋅⋅⋅
====