2.12 understanding elasticity

7/25/2019 2.12 Understanding Elasticity

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Name of student: _________________________ Class: Wednesday

Date: 29.06.16

24 Ramadan 1437H

Week: 26

Time: (7.45 pm !.45 pm"

#ipli $assin %es&ou'&es )e'ita*e +a'den

,u-e&t: /)$,C, o'm 4

Topi&: 2 2%C3, 2T2N

,u-topi&: 2.12 Understanding Elasticity

Exercise: 1

,o't Notes

Understanding Elasticity

3lasti&ity is te a-ility of a mate'ial to 'etu'n to its o'i*inal sape and si8e 9en te ete'nal fo'&e

a&tin* on it is 'emo;ed.

t is due to te st'on* inte'mole&ula' fo'&es -et9een te mole&ules of te solid. (you a;e to -e a-le to

eplain elasti&ity in te'ms of inte'mole&ula' fo'&es"

)ooke


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o'&e &onstant is te fo'&e tat is 'e?ui'ed to p'odu&e one unit of etension of te sp'in*. t is te

measu'e of te stiffness of te sp'in*.

Week 26, 2.12 Understanding Elasticity Physics Form 4 @ KYRHG

"(NForce

&u';etosta'tsline*'ap7

97en t7e'ea&7edisT7is

LiitElastic

"(mExtension

Te &u';e at te end o&&u's 'ep'esents te moment -efo'e te mate'ial -'eaks.

a&to's influen&in* te elasti&ity of a sp'in*:

a. type of sp'in* mate'ial

-. diamete' of te &oil of sp'in*

&. diamete' of te 9i'e of sp'in*

d. a''an*ement of te sp'in*.

/oint 1 is te =imit of /'opo'tionality. /oint @ is te 3lasti& =imit. /oint A is te $ield /oint.

Befo'e te limit of p'opo'tionality te mate'ial o-eys )ooke


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@

@

1xkEU p ==

k> fo'&e &onstant

x> sp'in* etension

ean9ile f'om te *'ap of o'&e ;s 3tension a-o;e its a'ea 'ep'esents potential ene'*y

#rea $nder the graph % Elastic potential energy % &ork done

cikgubid


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Exercise

1. Wi& of te follo9in* des&'i-e )ooke


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*iagra 11.1

Te 'elationsip -et9een len*t of sp'in*s I

and $ 9en st'et&ed -y diffe'ent fo'&e is

so9n in Dia*'am 11.@.

*iagra 11.2

Wi& &ompa'ison a-out sp'in*s I and $ is

&o''e&tE#. I is a'de' tan $

(. Te o'i*inal len*t of I is lon*e' tan $

). To st'et& 1 &m 9o'k done on I is smalle'

tan on $

1@. Dia*'am 1@ so9s t'ee identi&al sp'in*

a''an*ements / J and %. ll sp'in*s used

a'e identi&al. (,/ @011"

*iagra 12

Physics Form 4 @ KYRHG

Wi& &ompa'ison of te len*t of sp'in*

a''an*ements / J and % is &o''e&t 9en

9ei*t of 1 k* is un*E

#. / K J K % ). % K / K J

(. / K % K J *. % K J K /

1A. Dia*'am 1A so9s t'ee identi&al sp'in*s9it te o'i*inal len*t of 16.0 &m. (,/

@01A"

*iagra 1

Wat is te len*t of $E

#. @.0 &m ). 10.0 &m

(. 6.0 &m *. 1A.0 &m

14. Dia*'am 14 so9s a &'adle 9it sp'in*x.

*iagra 1+

,p'in*x&an old a maimum load of 5 k*.

Wi& of te follo9in* 9ays is used so tatte &'adle &an old a -a-y of 7 k*E

#. Can*e 9it a sp'in* of *'eate' diamete'.

(. n&'ease te len*t of te sp'in*.

). dd one sp'in* and a''an*e in se'ies.

*. dd one sp'in* and a''an*e in pa'allel.

, cikgubid


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,t'u&tu'ed Juestions

1. (a" Wat do you mean -y te elasti&ity of an o-e&tE

______________________________________________________________________________

______________________________________________________________________________

(-" Define )ooke


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4. / J % and , a'e fou' identi&al sp'in*s 9it o'i*inal len*t of 10 &m. te len*t of ea& sp'in* is 15 &m

9en it is st'et&ed -y a 10 N fo'&e. Te dia*'am -elo9 so9s te a''an*ement of fou' sp'in*s 9it a

mass of 6.4 k*.

ind te ;alue of y. (ns: 1G &m"

5. f te sp'in* in ?uestion 4 a'e no9 a''an*ed as so9n in te dia*'am -elo9

ind te ;alue of y. (ns: 47.5 &m"


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6. -lo&k of mass @.0 k* is pused to &omp'ess a sp'in* to 5.0 &m -y a fo'&e of 4.0 N as so9n in

dia*'am -elo9.

(a" ind te elasti& potential ene'*y of te &omp'essed sp'in*. (ns: 0.1 H"

(-" ind te speed of te -lo&k 9en it is 'eleased to mo;e alon* te smoot su'fa&e.

(ns: 0.A@ ms1"

7. n dia*'am so9n -elo9 an a''o9 of mass @0 * t'a;elin* at a speed of 400 m s1

its a -lo&k of mass G0* and sti&k to*ete' to &omp'ess te sp'in* of fo'&e &onstant 400 N &m1alon* a smoot su'fa&e.

(a" ind te speed of te -lo&k and te a''o9. (ns: G0 ms1"

(-" Cal&ulate te maimum distan&e of &omp'ession of te sp'in*. (ns: [email protected] &m"


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G. sp'in* 9it unst'et&ed len*t 10 &m is etended 5 mm -y an applied fo'&e of @.0 N.

(a" Wat is its sp'in* &onstantE (ns: 400 N m1"

(-" )o9 mu& 9ould it etend if a load of @50 * 9as suspended f'om itE (ns: 0.@5 mm"

(&" f fou' sp'in*s of te same kind a'e a''an*ed as so9n in dia*'am -elo9

9at is te len*t ofxE (ns: @1.6 &m"


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!. Dia*'am (i" so9s te a''an*ement of appa'atus in an epe'iment to dete'mine te 'elationsip -et9een

etension x of sp'in* S 9it fo'&e F. Te 'elationsip -et9een x and F is so9n in te *'ap in

dia*'am (ii".

-i -ii

la9 state tat: LTe etension of te sp'in* is di'e&tly p'opo'tional to te fo'&e applied to st'et& it if

te elasti& limit of te sp'in* is not e&eeded.M

(a" Name te la9.

(-" a'k a &'oss (/" on te *'ap in Dia*'am (ii" to indi&ate te elasti& limit of te sp'in*.

(&" Te sp'in* sto'es ene'*y 9en it is etended.

Cal&ulate te ene'*y sto'ed in te sp'in* 9en it is etended -y G &m.

(d" note' sp'in* identi&al to sp'in* Sis added to te a''an*ement as in Dia*'am (iii". Te epe'iment is

'epeated.

,ket& a *'ap of a*ainst up to te elasti& limit fo' tis

epe'iment in Dia*'am (iii".

-iii

2.12 understanding elasticity

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