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Unformatted text preview: ixﬂwi EGN 3321 section 0002, Spring 2002
Name: Quiz#3 A spring is used to stop a 75kg package which is moving down a 20° incline. The spring
has a constant k = 25kN/m, and is held by cables so that it is initially compressed 0.1 m.
The velocity of the package is 6m/s when it is 10 m from the spring. The spring
compresses with an additional amount denoted by d in bringing the package to rest.
Assume u = 0.20. 6m/s
\> Questions:
1. (1 pt.) What is the equation for the initial kinetic energy. a. Equation in variable form: T1 2Lle b. Equation with values substituted in:
T1= iGSNZ Z ’39’ J 2. (1 pt.) What is the equation for the ﬁnal kinetic energy. a. Equation in variable form: 1
T2: b. Equation with values substituted in: T2: :GQM) '6 o ¢ 7/4 30) 3. (1 pt.) What is the equation for the work done due to gravity.  a——*' W” + ‘ WW— 4
a. Equation in variable form: 54 E? [EQOM )S’KZO . : ._‘ 2 “WC L" L‘” M
Ul'z’gmy WINK 5 X) (AA 7 ’ 2’3? 'Qowl) an;
El 3 (£953 mwmd) b. Equation with values substituted in: Us, =  WEEQOﬁ‘CO m7 2 257. a (10+ :21) g
4. (2 pt.) What is the equation for the work done due to elastic forces in the spring. a. Equation in variable form: U12, spring = {2241' 949/723, b. Equation with values substituted in: .,. l , A _> ‘2
U12,sp,mg= J; Z§Q05)(o.\)7" 1; ZDQO’SX owed) = tzo» l2®o<01+ql>3 5. (2 pt.) What is the equation for the work done due to the frictional force. M W a. Equation in variable form:
WWV  U12,ﬁ1'ction= ’4?‘ W a 3 7/11 (0270‘?) ‘ b. Equation with values substituted in:
U12,ﬁ’iction= " 0'. c9 2 6. (2 pt.) Determine the maximum additional deformation ((1) of the spring in
bringing the package to rest. A 7/..4’ “*1 3 /L a,2 7 '1“ '1‘ 9 q
’ 025%}; + 62(16405 4— L23”  /2,6‘Oo(’0.O/+ Oldﬁil)
«v 13ng  133.234 2 f/33.é ’ aazaemL— lam94L A350 ~/ #236 2€25.é<cL~ 0330 0/}: r0 éVLSbo) / w (ii—e 0/303 Ci, 0,13sz d>o \loL; aggrav‘ ...
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This note was uploaded on 01/13/2011 for the course MMAE 0L02 taught by Professor Irinaionescu during the Fall '02 term at University of Central Florida.
 Fall '02
 IrinaIonescu

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