4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008,...

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4 – Leis de Newton do Movimento

Transcript of 4 – Leis de Newton do Movimento · SMF © 2006- 2008, Simple Machines LLC . SMF © 2006- 2008,...

4 – Leis de Newton do Movimento

©2002 by John Wiley & Sons

©2002 by John Wiley & Sons

©2002 by John Wiley & Sons

©2002 by John Wiley & Sons

©2002 by John Wiley & Sons

1 2= +F F F

x y= +F F F©2004 by Pearson Education

1 2= +R F F

©2004 by Pearson Education

©2004 by Pearson Education

©2004 by Pearson Education

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

0=∑F

∝∑a F

©2004 by Pearson Education

1m

∝a

©2004 by Pearson Education

m=∑F a

m=∑F a

x x

y y

z z

F ma

F ma

F ma

=

=

=

∑∑∑

x

y

z

m=P g

©2004 by Pearson Education

12 21= −F F

B/A A/B= −F F

©2004 by Pearson Education

©2004 by Pearson Education

©2002 by John Wiley & Sons

©2004 by Pearson Education

©2004 by Pearson Education

©2004 by Pearson Education

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

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

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 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= −

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= −

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

SMF © 2006-2008, Simple Machines LLC

SMF © 2006-2008, Simple Machines LLC