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4 – Leis de Newton do Movimento
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4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

Nov 10, 2018

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Page 1: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

4 – Leis de Newton do Movimento

Page 5: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

©2002 by John Wiley & Sons

Page 6: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

©2002 by John Wiley & Sons

Page 8: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

©2002 by John Wiley & Sons

Page 9: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

©2002 by John Wiley & Sons

Page 10: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

©2002 by John Wiley & Sons

1 2= +F F F

Page 11: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

x y= +F F F©2004 by Pearson Education

Page 12: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

1 2= +R F F

©2004 by Pearson Education

Page 14: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

©2004 by Pearson Education

Page 15: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

©2004 by Pearson Education

Page 16: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

x yF F= +F i j©2004 by Pearson Education

Page 18: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

0=∑F

Page 23: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date
Page 33: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date
Page 34: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

∝∑a F

©2004 by Pearson Education

Page 35: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

1m

∝a

©2004 by Pearson Education

Page 36: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

m=∑F a

Page 37: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

m=∑F a

x x

y y

z z

F ma

F ma

F ma

=

=

=

∑∑∑

x

y

z

Page 38: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

m=P g

Page 39: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

©2004 by Pearson Education

Page 40: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

12 21= −F F

Page 41: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

B/A A/B= −F F

©2004 by Pearson Education

Page 42: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

©2004 by Pearson Education

Page 43: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

©2002 by John Wiley & Sons

Page 44: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

©2004 by Pearson Education

Page 45: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

©2004 by Pearson Education

Page 46: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

©2004 by Pearson Education

Page 47: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

1 T=T j

2 T=T j

1 1m g= −P j

2 2m g= −P j

1 a=a j

2 a= −a j

m1

P1

P2

T1

T2

m2

x

y

o

m1

P1

P2

T1

T2

m2

x

y

o

1 2= −a a

Page 48: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

1 1 1m=∑F a

1 1 1 1m+ =P T a

1 1 1m g T m a− + =j j j

1 1 1 (1)T m a m g= +

2 2 2m=∑F a

2 2 2 2 2 1m m+ = = −P T a a

2 2 1m g T m a− + = −j j j

2 1 2 (2)T m a m g= − +

2 11

1 2

m ma gm m

−=

+

2 11

1 2

m m gm m

−=

+a j

2 12

1 2

m m gm m

−= −

+a j

m1

P1

P2

T1

T2

m2

x

y

o

m1

P1

P2

T1

T2

m2

x

y

o

1 2= −a a

Page 49: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

2 11

1 2

m m gm m

−=

+a j

2 12

1 2

m m gm m

−= −

+a j

m1

P1

P2

T1

T2

m2

x

y

o

m1

P1

P2

T1

T2

m2

x

y

o

Page 50: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

1 T=T i 2 T=T j

1 1m g= −P j 2 2m g= −P j

1 a=a i 2 a= −a j

1 mg=N jm1

P2

T1

T2

m2

x

y

o

P1

N1

1 2a a= −

Page 51: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

1 1 1m=∑F a

1 1 1 1 1m+ + =P N T a

1 1 1 1m g m g T m a− + + =j j i i

1 1 (1)T m a=

2 2 2m=∑F a

2 2 2 2m+ =P T a

( )2 2 2 2 1m g T m a m a− + = = −j j j j

2 2 (2)T m a m g= − +

21

1 2

ma gm m

=+

21

1 2

m gm m

=+

a i

22

1 2

m gm m

= −+

a j

m1

P2

T1

T2

m2

x

y

o

P1

N1

1 2a a= −

Page 52: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

21

1 2

m gm m

=+

a i

22

1 2

m gm m

= −+

a j

m1

P2

T1

T2

m2

x

y

o

P1

N1

Page 53: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date
Page 54: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

SMF © 2006-2008, Simple Machines LLC

Page 55: 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008, Simple Machines LLC . Title: Física 1 Author: Anderson Coser Gaudio Created Date

SMF © 2006-2008, Simple Machines LLC