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Mechanical Engineering detailed solution
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! " ! # $ %& ' ! () * " "& !' . + + ! *+ +,+ 1+ " 2+ * ++, ++ /+ 0 $ *3+ () 4 ' ++ /+ ! */ + * +1 " *+ 1 $3 3 () $ 56 () 7 ! * * = = * * ' * * * = ++ /+ = */ 3 3* 8 3 9 & ' ; & ' * , ! & < & ' % ;* 9 ++ = 3 6 ' ! 3*: ! , & ;9 ' *, & ! * ;* ; * < + " +/ $ + */ () " All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. / & , ' " , ' $ ' , ' () & = 8 > ' 8* 8 # 8 8* # ! 8* # " 8* > 8 $? () 1 % & ! 0, , & & ' ' 0 */ 3/ + +/ / + " /+ $ ++ () 2 ' % =++ *+ , , *++ *+ ' ' , , @ 4A/ 1A+ " /2+ $ 4 =+ () 56 () B5 = ' * * % * * # *+ + * = =+3 * * * * =++ = = = =* 24 =+ =+ %= B 5= * * 0 + 3 =* 24* = 1A+ @ A & ! C !D E ! . 5 EC* *5% ! 6 % 6 EC* 5% " *EC* 5% $ 3EC* 5% All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. () * 56 () 5% ' =E 6* , ' = E6 + " 6 5% , * E6 + " 6 + "* * 5% ' 9 7 &! " = " = +, G 7 '= + ' =+ F6 =+ ' =+ 6 6 9 +, E6* H *5% 6 ' 6 = EC* *5% 7 , ! ! ! * " 3 $2 () " 56 () " 6 ! " 9 , 8 8 C* =3 * ( 6 ) = 64 + 69+, 6 " C* *5% ! G 3 *5% & & ' $ () $ 56 ( ) ( 6 ) = 64 + & 6 9 +, , &' ' 6 All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. * * , 6* + '* + I , 7 * , * + * * ,+ & & !' D * * D " $ 4 + 4 D + 4 () * 6* + '* + I = 56 ( ) J & * 6* + '* + I = + & * + * * D+ + = * + * * = & + * ,+ ,+ * + = + * * D * E 8 " > $ * # 4 $ " () % 8)3, >) , #)*, 8) , >)*, #)3, ! % $ "$ $% () $ & 3 )4 )4 &D " & 8)3, >) , #)4, $ 8) , >)4, #)*, , ! , / * * * 3 * * D G 4 , , )* )3 I I & ' ' ,! ,! % ! ! ! ! ', ++ +3+ + I */ +++ + + ++ +4+ I */ +++++ +*+ 3+ 6 4+ !' " *+ $ + All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. () " E6 9 6 I K I 9 */ +3+)*/ +*+ 9*+ = $ I , !& " !& $ () " 1 *++ /++ 9+ +**/ I +* & 9A 2 = 2 , + 4 0 * 0 = " 2 ** $ *4* 4= () + +**/ /++ 56 () G = 2 * C; = *$ 7 +* + ** * A 2 + 3 L !' , * 3 = = 2 & ' ( ) , ! & ' ( ) & ' ( ) L + + =+ + = " + = $ + =+ () " A ! & 4*/ +@ 0 +A 9**/ A3 @ 0 + 0B ! E ! ' /8 6 L 9*/A2 4 @ 0 ' ' L ' & ' /8 &' ! ( =/ 2A " A $ *1 + () 56 () 8 = * = + 4*/ **/ A3 + + A */A2 4 **/ A3 = 2A++ B@ = 2 A E 0 *+ ( J %( 8 2+ J %%( 8 ** /M % *+ 33+ *++ 6 4+M 6 , A++ " 21/ $ 1*+ All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. () 56 ( ) 7 ; = = ' * = * 2+ *+" 4+ = ** / * 33+ + =*/ = A++ * I ' & ? ( ) * " + ( ) * * * $ () ** !D !' % : !' :, , + " +2 $ * +* () $ 56 () G ' ' ! $ !& 9 , L , 8 * , ( )= = 8 + * =++ & = + + < ! , *4 = + +*, ! *: ! '96 ' = 6* ! 6)' 0 = 0 3 " 0 4 $ 0 * () 56 () & & '96 ' 9 6* & *, G & 6 9 +, 6 9 = = = (6 6 ) 6 * + 6* 64 * 4 = + * 4 + = L All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. *3 (6) 69+, " "" () " 56 () J & N 6N */ (6) = " ! ) ) ! ! $ 6 9N O 6N 69+! ! ! 6 6 6 + & ) 6 6 * 0 3 0 * " $* () 56 () *= 6 + * 6 = 6* * 6 * 6* 6 + " * =* I & ! I 6 + 6 * 6* 3 * , = * 3 = ! ( ! # $ */ * + += + +/ " */ + ! *3 24 *3 2A 56 () () $ 9$ = */ * + += + +/ = *3 24 *1 % K*6 1 , 2 + +4 $ */ ) 3+ 3+ ! + ++= () " 56 () G = $ ( = * +: " + +=* $ + =++ ) G = $ + 2 3+ = 4 /1 = 4 /1 2+ = + +=* All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. *2 % ; $" = *+ + / , & ) ! & ; & ! / ; 1 & /++ G 3++ , & ( 3/;, 3/+ 1/;, //+ " A/;, A/+ $ /+;, /++ () " 56 () ; = *+ + / =/ ,; = 3/ ; =1 ,; = // ; ;+ % % ; = ;+ ;+ & % 3/ = ;+ ;+ /++ % // = ;+ ;+ 3++ % < & * ; = A/ & % = A/+ *A I I ! , & ' * & !, 4 ( * 4 * " * 4 + 4 + 4 * 4 + * * + 4 + * + 4 * 4 * * ( + * + 4 ) 4 4 $ * *4 + * 4 + 4 + * * + 4 4 * All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. ! () 56 () ' PL 8 ;* 8 + I+ = *+ 4 4 * , 6 , * ;* * I+ * ? = ?* , ; = + F 8* = 8 G 8 ;* =* 4 * *8 4 ;* = 8 = < + * * + 4 ! ;* = * , + 4 (" 4+ 4 * + 4 * 4 4 2@ 0 B) =3 +/ * +A * 2+M " (" 0 0% = 6 @ 0 B) 4+M " & 6 + 2, CE $ M " 3+ *+ " + $/ () " 56 () = " " +2= * * 3 2 + / 2+ * * +A 2+ 4+ = 3+ " + / 3 * * = * 2 3+ = * +A * 4+ = 1+ " = * = + " CE $ = + " 4 ! ' !' 5 6 , . % 8 P & , P & ! ( ( )5 *& ) * ( ( )5 *& ) " 4 ( ( )5 *& ) $ ( )5 4 ( *& ) All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. " () 4* ! L ! /+ % 3+E8 , *, ' ! 2 = " *3 $ 4* () 56 () 9 /+ H K , ?8 4 3+E8 = *H ?8 = = ! = ! = 1+E8 = 4 = = = = /+ +4 1+ = = / 42 44 = 3++ ! ' +/ ! ! 2+M % , ! ! + */, ! L , 3++ ++ = /3 3 " ** $ /1 () 56 () , ! F* ! = F = + */ =* ( = 3++ A * * = 2* 41/ L = /3 3 43 9 * ) * !6 3 ! =! ! ! !6 ! *+ ' !! * ! ' ! " 4 + $ * All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission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ll rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. $ ! () " & 56 () L ( 6 + *' + I= 3 ) (* ) *6 + ' + *I= / (4) 6 + ' + I= 5 F*, * F4, '9 & & )3 5 6 '9 )/ C 3 / G & L 41 +/ + / *+ + + + + = & ' & A /+ = +1 E8 E8 < " , & *2 /* E ' , $ 3A 3 () 56 () {( * L= , ** ) + ( L= } = /H *4 = * 4 =+ *1 24A E8 ' 42 * = +, ** = *+, 44 = +H * ** ) + = ** + *4 + *4 * ' = L 4 = = +1 E8 $ & " ! +3 < += # Q +M " */ 0 E ' I */ ) + 12 +/ + 11/3 +/ All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. + +3 +/ " $ 3 4A1 +/ () " 56 () =+3 =+= = + ;" = * / 0 = */ = = + 3*44 ;" 9 4A = ** A = ( ) % * / + * A */ + = , ! $ 0& 6, /++ 2M 4/ + +3 +/ 0 / /+ +* 9 4* 3 , * " 4 * $ 4+ () C+ = 56 () C = /+ + +" H= = /++ 3+ H= " H =+* = + /2/ = 1 / * $ * 0& =* /A = 3 / 4/ " ' %$ & & ', ! $* ! 7** & !' * $* $ ? " $ $* $ $ $* () $ 56 () 7** = 7* = 3 = ! ! ' & I #' & ' $ $* ' +++ % ! ' ' !' , ! 3, ! All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. 3 * " +/ $ + */ () " 56 () ' # ; %& !' ( ) ' # ; ' !' 3 3* 4/ ' =1: ! +/ ++ 8 */M " 4 ' & */M " 18, //: " ' & ' J& & ' 24: $ 1: () $ 34 ) D !D + ! , 6 ! & I A3E8 , & 7 4+ 7 7 3 33 () " 56 () 1 A* 8 = + 1+1 " A A4 $ ** = ! 8 = + 1+1 + 4+ A3 = 8= % AA41 3 A A43 E 33 7 &' , I &! L L *C !' ! , ' ' ( * " $ * 3 C C All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. () $ 3/ 66 = 3+E8 H '' = ++E8 E 6' = 3+E8 P & 3+ /+ " E8 =+ $ ++ () 56 () 66 = 3+ E8 H '' = # E 3= & ++ E8 , 6' = 3+E8 P 66 '' 9 * * + * = 6' 4+* + 3+* = /+ E8 7( C ( )= ( )= " )= ( ( )= + ) & !' $ ( )= () $ 56 () C ( C 31 ) + = = = /4 , 4 + 7 6 + 5 I & & 4 * * 4 * " + * + $ / * / () / % = + 56 () 4 4 * 2 + / 4 = + ( =+ (/ ) ( 4 ) = 4 = + * 2 + * = + = *, = = *%) - = + , =* 44 6 6* = 6 + 6* = + + H + 6 = 6* All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. G L * & * $$ % ! * ++ D , & " !D ' !( " ", & I 7 " 3/M 7 =+M 32 6 7 ! ' 2 ! 6 $5 1 " ++E8 / 6 3 $ ** 4+ " 3 () 56 ( ) 7 C P , 7 7 = = +/ *+ 4/ 7 = + 2A=/7 H = + 14* 7 7 7 6 + 2A=/7 = ++E8 ++ 3A % 7= = 7 7= 7 = ++E8 /3 32 , /B & & B + =4 + 4* " *= $ 3= () # =7 & 4+ = + =447 7 = B # = + =44B $$ % ! ' & *+ 8 ' #( 2++ 8 & #) 43 All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. & & L +* 08 @ 0 ) #) 43 ( #) 43 8( 8 ) M " *+ ( ) @ 0 ( ( @ 0 B) ( @ 0 B) )** 4* *41 + +A4 + A/ 4 2++ ** / A/ / *=1 4 + 4/3 +A 2 4 #) 43 8( 8 ) M " 3+ 2++ /+ ( *1= 3/ @ 0 ) ( @ 0 B) + A/ L / A3 24 " 1A $ 4A / () " 56 () * 4 3 8 = L ( * ) = + * (*1= 3/ *41 ) = 1 A / 6 *2 4 3* A @ 0 " 43 3 $ 3= All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. () 56 () # ( = 6 3 ) = + * ( *41 A/ /) = *2 4 ) $ * 7 +, D, & & & ' ( ! 6 ! &' 8 $ ! ' ) 4 3 " / $ 3 5 ! * 7 A J = G , /* * D )!) ) ) ))) " ) )) $ )!) ) ) () " * 5 56 () 3 4 = 4 " / * 2 = J A = G 3 + $ 3 ; 5 J G 1 "JG = $7G 2 /4 / 1 7 A ' ' 'H $7G % &' A + ', " D A ' " " " D ! D All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. ! $" D 1 ' () 56 () % &' 7 D ) $ * ! ++ 8 " I I /3 + ' A +, ', & ' I I 4++ 8 , /++B & ' 2+ 0 ++2@ 0B & ( ' + 0% 2+ & * 6 / =B /4*B " 323B $ 3=2B () " Q &* 0* 9 56 () * Q &* 0* * &* )&* * = * =" * 2+* +* = ++2 /++ * * = 323B // 6 * * * I I A+ /= 4 " 33 $ *A () $ 56 () 7 ' ; = * 8 # * = ;= * L , ;* 8* #* * ;* * = 8 8* * 4++ 323 + 2+ = * A /++ ++ 2+ ; ;* * # /= & * !' /L , L # /+ ! 6 ! !' I / + " / $ */ ( 56 () * 8 = /+L /L All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. " L = /+ +L H * * L <+ /+ +L= + 6 , L= / 5 /1 " & & ! ( P RRRR RRRR " $ ( /2 " ' ' ( - & '! & G 'S 6 " ' $ 7 'S 6 'C ,! &' ($ /A & ! . $ $& "$ $$ ( =+ " & & ! ( $ & RRRRR RRRRR & ! " $ ( = ', 8 ) 7 & ) , ! ,6 & ! $ ', " ) & #L (G 5& ' ! ! J % !& & ' ! & All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. # $ ) ' (" 56 () J =* & J& L , ' $ "J 7B @ 8, ; 6 " 8; $8 ( +* +4 +3 $ , "J , 7B , 56 () +4 +3 +/ @, 8 +/ ; += =4 8( >( #( $ ! ($ ! 8, > (" 56 () 8 # 5 =3 - 1 1 " ##5" 1 1 ' ' ' ' & ! & >, # & " 8, # $ #, ' T , *, 4, 3U ! !' =+: . 3+: !D L ' S ! ! , A=: ! !! ' ' !' . + *22 + 443 ' ! ! ! L . S ! ! ' ! ! , 1*: !, " + ==1 ! ! ! . ! ! !, $ + 1*+ ( 56 () 6 =+: A=: + /1= ' ! # & 8 (6) = ' 3+: 1*: + *22 + *22 = + 443 + /1= + + *22 =/ ' ! & ' 2 ' = *6 + 6* L 6 + " * ! $ 3 ( 56 () ' = *6 + 6* All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. ' = * + *6 6 * ' <+ ' 6 6* 6= + ' = *+ + = + * + *6 = + All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission.
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