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_vkfa`h}K}mna ajr nkc}! ]DH jcb \jy`}

\`bc`}bj~! Epa~ 9! 6?::

7/31/2019 SHM and Waves Problem Solving

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]jhpa` :

J pjvrnma` cb`vlk`} ]DH |nrd jcjhpanrb` ki 2#? hh jcb jc jclajv

iv`z`cm~ ki 6#? }(:# Jr r8?! rd` bn}pajm`h`cr

n} hh# \vnr` bk|c rd` `zjrnkc lnyncl

rd` bn}pajm`h`cr ikv rdn} hkrnkc#

2#?6

\`bc`}bj~! Epa~ 9! 6?::

7/31/2019 SHM and Waves Problem Solving

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]jhpa` 6J pjvrnma` cb`vlk`} ]DH |nrd jc jhpanrb`ki 4#?? mh jcb jc jclajv iv`z`cm~ ki ?#60?}(:# Jr r8?! rd` y`akmnr~ n} :#62 mh }(:#

j# \vnr` bk|c rd` `zjrnkc} lnyncl rd`bn}pajm`h`cr jcb y`akmnr~ ikv rdn} hkrnkc#

f# Mjamajr` rd` ncnrnja bn}pajm`h`cr#

m# Mjamajr` rd` v}r rnh` jr |dnmd rd`pjvrnma` n} jr t86#?? mh jcb t8(6#?? mh#

\`bc`}bj~! Epa~ 9! 6?::

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]jhpa` =

j# Mjamajr` rd` a`clrd ki j p`cbah rdjrdj} j p`vnkb `zja rk :#?? }#

f# Mjamajr` rd` p`vm`crjl` ncmv`j}` nc rd`p`vnkb ki j p`cbah |d`c rd` a`clrd n}ncmv`j}`b f~ 2#??%# \djr n} rd` c`|p`vnkb;

\`bc`}bj~! Epa~ 9! 6?::

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]jhpa` 2Rd` lvjpd }dk|} rd`yjvnjrnkc |nrd bn}pajm`h`crt ki rd` jmm`a`vjrnkc j ki jfkb~#

j# @tpajnc dk| nr hj~ f`

b`bm`b rdjr rd` fkb~`t`mr`} ]DH#

f#P}` rd` lvjpd rkb`r`vhnc` rd` p`vnkb ki

k}mnaajrnkc}#m#B`r`vhnc` rd` hjtnhh

}p``b ki rd` fkb~ bvnclk}mnaajrnkc}#

?#0

:#?

:#0

(:#0

(:#?

(?#0

( 4 ( 9 ( 2 ( 6 6 2 9 4

j + h }(6

t + mh

\`bc`}bj~! Epa~ 9! 6?::

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]jhpa` 0Rd` lv` }dk|} rd` bn}pajm`h`cr ki

j pjvrnma` ivkh j t`b `znanfvnhpk}nrnkc# P}` rd` lvjpd rk b`r`vhnc`5

j# rd` p`vnkb ki rd` hkrnkc

f# rd` hjtnhh y`akmnr~ ki rd`pjvrnma` bvncl jc k}mnaajrnkc

m# rd` hjtnhh jmm`a`vjrnkc`tp`vn`cm`b f~ rd` pjvrnma`#

b# Hjvg rd` pkncr U |d`v` rd`y`akmnr~ n} u`vk#

`# Hjvg rd` pkncr Y |d`v` y`akmnr~ n}pk}nrny` jcb dj} rd` hjtnhhy`akmnr~#

i# Hjvg rd` pkncr J |d`v` rd`jmm`a`vjrnkc n} pk}nrny` jcb dj} rd`ajvl`}r hjlcnrb`#

\`bc`}bj~! Epa~ 9! 6?::

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]jhpa` 9Rd` lvjpd }dk|} rd`yjvnjrnkc |nrd rd` }zjv`ki rd` bn}pajm`h`cr $t6.ki rd` pkr`crnja `c`vl~ ki

j pjvrnma` ki hj}} 2? lrdjr n} `t`mrncl ]DH#P}ncl rd` lvjpd!b`r`vhnc`5

j#rd` p`vnkb ki k}mnaajrnkcf#rd` hjtnhh }p``b ki

rd` pjvrnma` bvncl jc

k}mnaajrnkc#\`bc`}bj~! Epa~ 9! 6?::

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]jhpa`

J }rkc` bvkpp`b nc }rnaa |jr`v mv`jr`} mnvmajvvnppa`} rdjr hky` j|j~ ivkh rd` pkncr kinhpjmr# Rd` ncnrnja d`nldr ki rd` vnppa` n} jfkr

6#2 mh jcb rd` |jy`a`clrd n} ?#0 h# Bvj| j}g`rmd ki rd` bn}pajm`h`cr ki rd` vnppa`} j} jicmrnkc ki rd` bn}rjcm` ivkh rd` pkncr ki

nhpjmr#

\`bc`}bj~! Epa~ 9! 6?::

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]jhpa` :?

Anldr ki |jy`a`clrd 94? ch nc jnv`cr`v} |jr`v hjgncl jc jcla` ki 2?

|nrd rd` ckvhja# Incb rd` jcla` kiv`ivjmrnkc jcb rd` |jy`a`clrd ki anldrnc |jr`v# Rd` ncb`t ki v`ivjmrnkc ki

|jr`v n} :#==#

\`bc`}bj~ Epa~ 9 6?::