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UNIT #1 DYNAMICS Applying Newton’s Laws of Motion

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Page 1: Applying Newton’s Laws of Motion UNIT #1 DYNAMICSmrneave.weebly.com/uploads/1/3/5/9/13590915/... · Applying Newton’s Laws of Motion. TODAY’S LEARNING GOALS DYN 4 I can use

UNIT #1 DYNAMICS Applying Newton’s Laws of Motion

Page 2: Applying Newton’s Laws of Motion UNIT #1 DYNAMICSmrneave.weebly.com/uploads/1/3/5/9/13590915/... · Applying Newton’s Laws of Motion. TODAY’S LEARNING GOALS DYN 4 I can use

TODAY’S LEARNING GOALS

DYN 4I can use Newton's 2nd

Law a¥ vector approaches

to analyse complex static anddynamic situations involving multiple

forces

Page 3: Applying Newton’s Laws of Motion UNIT #1 DYNAMICSmrneave.weebly.com/uploads/1/3/5/9/13590915/... · Applying Newton’s Laws of Motion. TODAY’S LEARNING GOALS DYN 4 I can use

SAMPLE PROBLEM #1 – NEWTON’S 2ND LAW PGD

ItToor,•,9oIEEl8x03N+ u

EFjd8xlosn6oD2-

9 Fall ×1o3N 1.47×103

→tEFy=l648NT

Page 4: Applying Newton’s Laws of Motion UNIT #1 DYNAMICSmrneave.weebly.com/uploads/1/3/5/9/13590915/... · Applying Newton’s Laws of Motion. TODAY’S LEARNING GOALS DYN 4 I can use

Fx = 1.8×103 cos 600 - 1.8×1 03$as bi

Fx = ON

FJET =EFy= ME

1648N [ up]=µxkikg)a

1648k$ryg [ up]÷*r= 10.98 mlsz [ up]

E= 11h15 [ up ]

Page 5: Applying Newton’s Laws of Motion UNIT #1 DYNAMICSmrneave.weebly.com/uploads/1/3/5/9/13590915/... · Applying Newton’s Laws of Motion. TODAY’S LEARNING GOALS DYN 4 I can use

PG. 76 #3

Direction of notion →¥FBD Fn#= -25N

4th Fµe=ma2sw←• -25kg }=@kg)abFgz= -251945441kg£= -0.6145

Page 6: Applying Newton’s Laws of Motion UNIT #1 DYNAMICSmrneave.weebly.com/uploads/1/3/5/9/13590915/... · Applying Newton’s Laws of Motion. TODAY’S LEARNING GOALS DYN 4 I can use

b) vis

4.1nsVg = Omls

a.- 0.61Mt '

at ?

Vt = Vitadt045424,

t to .6l⇒at

0.61¥ At =

4.2%At :

4.2mls

at .

6.9.

¥5,1

Page 7: Applying Newton’s Laws of Motion UNIT #1 DYNAMICSmrneave.weebly.com/uploads/1/3/5/9/13590915/... · Applying Newton’s Laws of Motion. TODAY’S LEARNING GOALS DYN 4 I can use

EQUILIBRIUM

´ FNet = 0

´ No acceleration

Page 8: Applying Newton’s Laws of Motion UNIT #1 DYNAMICSmrneave.weebly.com/uploads/1/3/5/9/13590915/... · Applying Newton’s Laws of Motion. TODAY’S LEARNING GOALS DYN 4 I can use

SAMPLE PROBLEM - EQUILIBRIUM

´ Pg. 79 #3

F Fit 'EtF3=0 F ,y=50s~6o°F3= - Fitz = 43.3N [ N]

EKx=§0g5n6Ef Ey=6osn3o°Fzxa 60030

'

= 30N [ s ]

= SZNCET F3= 43.3N [ D . 30NyF3×=2SN[w]t52N[ D

ftp.3WCDFi=77N[D#ffo

.ae?shFTe99h.r.F3=78NCew983] -let'78N

Page 9: Applying Newton’s Laws of Motion UNIT #1 DYNAMICSmrneave.weebly.com/uploads/1/3/5/9/13590915/... · Applying Newton’s Laws of Motion. TODAY’S LEARNING GOALS DYN 4 I can use

ACCELERATING OBJECTS

´ If an object is not in equilibrium, then it is accelerating in some direction !!!

´ FNET = ma

Page 10: Applying Newton’s Laws of Motion UNIT #1 DYNAMICSmrneave.weebly.com/uploads/1/3/5/9/13590915/... · Applying Newton’s Laws of Motion. TODAY’S LEARNING GOALS DYN 4 I can use

SAMPLE PROBLEM – ACCELERATING OBJECTS

´ Pg. 82 #6

'

i*¥⇐

.in#@jWHFEwEIII**Way+€Ht¥Fw[t÷E.Fgcos%

Fw#=Fg - Ft Block 58

.

E#=mg#p42oi4tl6iF@M$a=Ft. magus'

maatmrg - F- a����������� ������������������ !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~��������������������������������� ¡¢£¤¥¦§¨©ª«¬­®¯°±²³´µ¶·¸¹º»¼½¾¿ÀÁÂÃÄÅÆÇÈÉÊËÌÍÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñòóôõö÷øùúûüýþÿ4����������� ������������������ !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~��������������������������������� ¡¢£¤¥¦§¨©ª«¬­®¯°±²³´µ¶·¸¹º»¼½¾¿ÀÁÂÃÄÅÆÇÈÉÊËÌÍÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñòóôõö÷øùúûüýþÿ 301.8a=Ft - 9.35

Page 11: Applying Newton’s Laws of Motion UNIT #1 DYNAMICSmrneave.weebly.com/uploads/1/3/5/9/13590915/... · Applying Newton’s Laws of Motion. TODAY’S LEARNING GOALS DYN 4 I can use

����������� ������������������ !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~��������������������������������� ¡¢£¤¥¦§¨©ª«¬­®¯°±²³´µ¶·¸¹º»¼½¾¿ÀÁÂÃÄÅÆÇÈÉÊËÌÍÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñòóôõö÷øùúûüýþÿ3����������� ������������������ !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~��������������������������������� ¡¢£¤¥¦§¨©ª«¬­®¯°±²³´µ¶·¸¹º»¼½¾¿ÀÁÂÃÄÅÆÇÈÉÊËÌÍÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñòóôõö÷øùúûüýþÿ 1.8 a= FT - 9.35

����������� ������������������ !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~��������������������������������� ¡¢£¤¥¦§¨©ª«¬­®¯°±²³´µ¶·¸¹º»¼½¾¿ÀÁÂÃÄÅÆÇÈÉÊËÌÍÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñòóôõö÷øùúûüýþÿ4����������� ������������������ !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~��������������������������������� ¡¢£¤¥¦§¨©ª«¬­®¯°±²³´µ¶·¸¹º»¼½¾¿ÀÁÂÃÄÅÆÇÈÉÊËÌÍÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñòóôõö÷øùúûüýþÿ 4.2 as 41.16 - Ft

Solve ����������� ������������������ !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~��������������������������������� ¡¢£¤¥¦§¨©ª«¬­®¯°±²³´µ¶·¸¹º»¼½¾¿ÀÁÂÃÄÅÆÇÈÉÊËÌÍÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñòóôõö÷øùúûüýþÿ3����������� ������������������ !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~��������������������������������� ¡¢£¤¥¦§¨©ª«¬­®¯°±²³´µ¶·¸¹º»¼½¾¿ÀÁÂÃÄÅÆÇÈÉÊËÌÍÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñòóôõö÷øùúûüýþÿ for Ft

1.8 at 9.35 = FT↳

sub into ����������� ������������������ !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~��������������������������������� ¡¢£¤¥¦§¨©ª«¬­®¯°±²³´µ¶·¸¹º»¼½¾¿ÀÁÂÃÄÅÆÇÈÉÊËÌÍÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñòóôõö÷øùúûüýþÿ4����������� ������������������ !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~��������������������������������� ¡¢£¤¥¦§¨©ª«¬­®¯°±²³´µ¶·¸¹º»¼½¾¿ÀÁÂÃÄÅÆÇÈÉÊËÌÍÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñòóôõö÷øùúûüýþÿ

4.4=41.16 - ( I .8atI496)

4.2 at I .8a= 41.16 - 9.35ba = 31.81

a .

[email protected]

.3SN=FFt = 19 N

Page 12: Applying Newton’s Laws of Motion UNIT #1 DYNAMICSmrneave.weebly.com/uploads/1/3/5/9/13590915/... · Applying Newton’s Laws of Motion. TODAY’S LEARNING GOALS DYN 4 I can use

HOMEWORK

´ Pg. 72 #2 ´ Pg. 83 #4,5