Tema_No_12

w 0.5

f 2

r 0.05

v 10

b 0.1

Given

d

2

b

v

x(t)

d

x(t)

r d

x(t) w2 x(t)

f v

d x(t) e

dt

dt2

dt

dt

15

4

x(t)

10

2

d x(t) 5

d x(t)

dt

0

5

10

15

dt

2

0

50

100

150

200

5

4

t

x(t)

r 2

w 3

Em 2

d2

y(t) r d

y(t)

b y(t)

Em sin(w t)

2

dt

dt

1

1

y(t)

0.5

0

.5

d y(t)

d y(t)

0.4

0.2

0

5

10

15

20

dt

0

0.2

0.4

dt

0.5

0

.5

1

1

t

y(t)

r 1

w 0.2

Fm 0.5

Given

d2

x(t) r d x(t)

x(t)3

x(t)

Fm cos (w t)

dt

2

dt

x(0)

0

x'(0)

0

x Odesolve(t200 400)

t 0 0.01 100

2

x(t)

1

d

x(t)

2

1

0

1

2

d

x(t)

0 20

40 60 80 100

dt

1

dt

1

2

2

t

x(t)

r 0.25

w 1

Fm 0.5

Given

d2

x(t) r d x(t)

x(t)3

x(t)

Fm cos (w t)

dt

2

dt

x(0)

0

x'(0)

0

x Odesolve(t200 400)

t 0 0.01 100

2

x(t)

1

1

d

x(t)

d

x(t)

0 20

40 60 80 100

2

1

0

1

2

dt

dt

1

1

2

2

t

x(t)

r 0.05

w 2

Fm 2

Given

d2

x(t) r d

x(t)

x(t)3

x(t)

Fm cos (w t)

dt

2

dt

x(0)

0

10

10

x(t)

5

5

d x(t)

d x(t)

4

2

0 20 40 60 80 100

dt

0

2

4

dt

5

5

10

10

t

x(t)

r 0.15

w 0.2

Fm 0.5

Given

d2

x(t) r d

x(t)

x(t)3

x(t)

Fm cos (w t)

dt

2

dt

x(0)

0

2

x(t)

1

1

d

x(t)

d

x(t)

0 20 40 60 80 100

2

1

0

1

2

dt

dt

1

1

2

2

t

x(t)