MUV Convolução
4
fo 100 vt () 5 fo massa t massa massa 20 gt () vt () v 0 t t vt () d 5 t 50 t 2 massa 5 t t 2 ( ) 2 5 t 2 2 5 t fo massa 5 ft () fo 0 t 2 if 0 otherwise St () 5t 2 2 5t S2 () 20 0 1 2 3 4 50 100 150 200 ft () t Γ trabalho realizado 100N 20 m 2000 joul vt () 5 fo m t 100 5 5 t ( ) [ ] 500 t 500 500 pt () 250 t 2 500 t gt () vt () 0 t f () gt ( ) d
-
Upload
ricardo-colosimo -
Category
Documents
-
view
221 -
download
0
Transcript of MUV Convolução
fo 100 v t( ) 5fo
massat
massa massa 20
g t( ) v t( )v0
ttv t( )
d 5 t50 t2massa
5 t t 2( )2 5 t2
25 t fo
massa5
f t( ) fo 0 t 2if
0 otherwise
S t( )
5t2
25t
S 2( ) 20
0 1 2 3 4
50
100
150
200
f t( )
t
Γ trabalho realizado
100N 20 m 2000 joule
v t( ) 5fom
t
100 5 5 t ( )[ ]
500 t 500 500
p t( ) 250 t2 500 t g t( ) v t( )
0
tf ( ) g t ( )
d
0
t100 5 5 t ( )[ ]
d 250 t t 2( )
0
t500 t 500 500( )
d 250 t t 2( )
0
t500
d 500 t
0
t500 t
d 500 t20
t500
d 250 t2
500 t2 250 t2 500 t
250 t2 500 t
p t( ) 250 t2 500 t
p 2( ) 2000 p(2) = 2000 joules
h t( ) 250 t2 500 t
h 2( ) 2000
ff t( ) h t( ) 0 t 2if
0 otherwise
0 1 2 3
1 103
2 103
3 103
4 103
h t( )
t 0 1 2 3
500
1 103
1.5 103
2 103
ff t( )
t
a t( ) 5sin t( )
v t( ) a t( ) tv t( ) 5sin t( ) t
fo 100g t( ) v t( )
f t( ) fo sin t( ) 0 t 2if
0 otherwise
0 1 2 3
20
40
60
80
100
f t( )
a t( )
v t( )
t
0 0.5 1 1.5 2
20
40
60
80
100
f t( )
a t( )
v t( )
t
0
tf ( ) g t ( )
d
0
tfo sin ( ) 5 sin t ( ) t ( )
d 125 t sin t( ) 125 t2 cos t( )
h t( ) 125 t sin t( ) 125 t2 cos t( )
h 2( ) 435.398 h(2) = 435 joules
ff t( ) h t( ) 0 t 2if
0 otherwise
0 1 2 3
100
200
300
400
500
h t( )
t0 1 2 3
100
200
300
400
500
ff t( )
t
f t( ) fo sin t( )
3.1420
tf ( ) g t ( )
d2
f ( ) 0
00.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10
100
50
50
100
f t( )
t
h t( )
ff t( ) h t( ) 0 t 2if
0 otherwise
0 1 2 3
100
200
300
400
500
ff t( )
t
