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More Solving Friction Problems Unit 2: Dynamics April 2, 2015

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More Solving Friction Problems Unit 2: Dynamics April 2, 2015

Pg. 174 #2

Gig๐€€๐€๐€‚๐€ƒ๐€„๐€…๐€†๐€‡๐€ˆ๐€‰๐€Š๐€‹๐€Œ๐€๐€Ž๐€๐€๐€‘๐€’๐€“๐€”๐€•๐€–๐€—๐€˜๐€™๐€š๐€›๐€œ๐€๐€ž๐€Ÿ๐€ ๐€ก๐€ข๐€ฃ๐€ค๐€ฅ๐€ฆ๐€ง๐€จ๐€ฉ๐€ช๐€ซ๐€ฌ๐€ญ๐€ฎ๐€ฏ๐€ฐ๐€ฑ๐€ฒ๐€ณ๐€ด๐€ต๐€ถ๐€ท๐€ธ๐€น๐€บ๐€ป๐€ผ๐€ฝ๐€พ๐€ฟ๐€๐๐‚๐ƒ๐„๐…๐†๐‡๐ˆ๐‰๐Š๐‹๐Œ๐๐Ž๐๐๐‘๐’๐“๐”๐•๐–๐—๐˜๐™๐š๐›๐œ๐๐ž๐Ÿ๐ ๐ก๐ข๐ฃ๐ค๐ฅ๐ฆ๐ง๐จ๐ฉ๐ช๐ซ๐ฌ๐ญ๐ฎ๐ฏ๐ฐ๐ฑ๐ฒ๐ณ๐ด๐ต๐ถ๐ท๐ธ๐น๐บ๐ป๐ผ๐ฝ๐พ๐ฟ1๐€€๐€๐€‚๐€ƒ๐€„๐€…๐€†๐€‡๐€ˆ๐€‰๐€Š๐€‹๐€Œ๐€๐€Ž๐€๐€๐€‘๐€’๐€“๐€”๐€•๐€–๐€—๐€˜๐€™๐€š๐€›๐€œ๐€๐€ž๐€Ÿ๐€ ๐€ก๐€ข๐€ฃ๐€ค๐€ฅ๐€ฆ๐€ง๐€จ๐€ฉ๐€ช๐€ซ๐€ฌ๐€ญ๐€ฎ๐€ฏ๐€ฐ๐€ฑ๐€ฒ๐€ณ๐€ด๐€ต๐€ถ๐€ท๐€ธ๐€น๐€บ๐€ป๐€ผ๐€ฝ๐€พ๐€ฟ๐€๐๐‚๐ƒ๐„๐…๐†๐‡๐ˆ๐‰๐Š๐‹๐Œ๐๐Ž๐๐๐‘๐’๐“๐”๐•๐–๐—๐˜๐™๐š๐›๐œ๐๐ž๐Ÿ๐ ๐ก๐ข๐ฃ๐ค๐ฅ๐ฆ๐ง๐จ๐ฉ๐ช๐ซ๐ฌ๐ญ๐ฎ๐ฏ๐ฐ๐ฑ๐ฒ๐ณ๐ด๐ต๐ถ๐ท๐ธ๐น๐บ๐ป๐ผ๐ฝ๐พ๐ฟ

mF 4.0kgMz '

1.8kg ๐€€๐€๐€‚๐€ƒ๐€„๐€…๐€†๐€‡๐€ˆ๐€‰๐€Š๐€‹๐€Œ๐€๐€Ž๐€๐€๐€‘๐€’๐€“๐€”๐€•๐€–๐€—๐€˜๐€™๐€š๐€›๐€œ๐€๐€ž๐€Ÿ๐€ ๐€ก๐€ข๐€ฃ๐€ค๐€ฅ๐€ฆ๐€ง๐€จ๐€ฉ๐€ช๐€ซ๐€ฌ๐€ญ๐€ฎ๐€ฏ๐€ฐ๐€ฑ๐€ฒ๐€ณ๐€ด๐€ต๐€ถ๐€ท๐€ธ๐€น๐€บ๐€ป๐€ผ๐€ฝ๐€พ๐€ฟ๐€๐๐‚๐ƒ๐„๐…๐†๐‡๐ˆ๐‰๐Š๐‹๐Œ๐๐Ž๐๐๐‘๐’๐“๐”๐•๐–๐—๐˜๐™๐š๐›๐œ๐๐ž๐Ÿ๐ ๐ก๐ข๐ฃ๐ค๐ฅ๐ฆ๐ง๐จ๐ฉ๐ช๐ซ๐ฌ๐ญ๐ฎ๐ฏ๐ฐ๐ฑ๐ฒ๐ณ๐ด๐ต๐ถ๐ท๐ธ๐น๐บ๐ป๐ผ๐ฝ๐พ๐ฟ2๐€€๐€๐€‚๐€ƒ๐€„๐€…๐€†๐€‡๐€ˆ๐€‰๐€Š๐€‹๐€Œ๐€๐€Ž๐€๐€๐€‘๐€’๐€“๐€”๐€•๐€–๐€—๐€˜๐€™๐€š๐€›๐€œ๐€๐€ž๐€Ÿ๐€ ๐€ก๐€ข๐€ฃ๐€ค๐€ฅ๐€ฆ๐€ง๐€จ๐€ฉ๐€ช๐€ซ๐€ฌ๐€ญ๐€ฎ๐€ฏ๐€ฐ๐€ฑ๐€ฒ๐€ณ๐€ด๐€ต๐€ถ๐€ท๐€ธ๐€น๐€บ๐€ป๐€ผ๐€ฝ๐€พ๐€ฟ๐€๐๐‚๐ƒ๐„๐…๐†๐‡๐ˆ๐‰๐Š๐‹๐Œ๐๐Ž๐๐๐‘๐’๐“๐”๐•๐–๐—๐˜๐™๐š๐›๐œ๐๐ž๐Ÿ๐ ๐ก๐ข๐ฃ๐ค๐ฅ๐ฆ๐ง๐จ๐ฉ๐ช๐ซ๐ฌ๐ญ๐ฎ๐ฏ๐ฐ๐ฑ๐ฒ๐ณ๐ด๐ต๐ถ๐ท๐ธ๐น๐บ๐ป๐ผ๐ฝ๐พ๐ฟ

Required : Ms

Analysis :

Fn . .mgยต=ยฅn

steps :

Food'

Ee ,

โ†โ€ขโ†’ BB

Fs FTbFg

1=132440

FBDO

ยฅโ€ขbยฅe,

TFTโ€ข

E=E b

.

:Fs=h6Nยขe# >Fg

A=oMs=E E=FgFN

Fn=Fg EsmgFn=mg EH.8kgK98โ‡’Fuยฑ@Y)(

9.tn#=h.6NGDFN=39.2NGp

]

Us ยฅFri-176ยฅat

s= 0.45 โœ“

Solving Kinetic Friction Problems

โ†’ Fret,

a

โ†’ โ†

.

Given: m,Et8?okjr Fa=lsowE]Uk : 0.20

Required Fata

E

Analysis: Fn#=Maยข is the same form , and mz

rรท Fret =@tmz)ยฃ

Steps

on ,tM2

Fโ†rโ€ขโ†’tF=15oN[[]โ†’

K%ยงrBโ†’ls0ndk=Tยฑ

โ†’FnuFnFnejlsow -58.8N

FtยฑtkFN Eยฅ9RN

I=@xK3agK98ยฅ)tI=58.8N[w]

In #= ma

91.2 NET =3@. kg) in

2=91.2Ycgnsh[E=olygE =

3.04mg [ E ]Et 3.0 Ms '

[ D

-

b) Finding FtMz = 12.0kg

> > >

ยฅโ†eโ†’โ†’ยฅt,

tFFnยฅโ‚ฌkFatimatI=MkFn E* .

.@g)tโ†ยฅ#

Feo.HR#98FDFnw..36.5NETtI=23.5NCw

]

Fti 365N At 23.5nAE-

. 6.0ร—0 'N

Pg. 177 #3

Questions y Pg. 177 #1,2,4 y Pg. 178 #2-5