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SubjectCode

R11CED1101

R11

VNR VIGNANA JYOTHI INSTITUTE OF ENGINEERING ANDTECHNOLOGY

(AUTONOMOUS

I B.Tech I Semester Supplementary Examinations, January/February,201

ENGINEERING MECHANICS!I(CIVIL ENGINEERING

T"#e$ %Hou&' M)*M&+'$ ,0M-ART!A Co#.u/'o& (%0 M&+'-ART! A2'3e& 2 FOUR

-ART!A1* A2'3e& "2 o2e 'e2te2ce 45 16 4M

a! State theorem o" three "orces

b! #i$e the e%uilibrium e%uations "or coplanar parallel "orce system

c! &hat is cone o" "riction'

(! )ocate the centroi( o" a %uarter circular arc o" ra(ius *r+

e! State perpen(icular axis theorem

7* A2'3e& t8e 9o//o3"2: ;e& b&"e

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a! sin the metho( o" pro5ections, 6n( the manitu(e an( (irection o"

the resultant 7 o" the "our concurrent "orces shon in Fi. 1 an(ha$in the manitu(e F1 8 1990 :, F28 2900 :, F8 90; :an( F< 8 1010 :.

b! 7e"errin to Fi. 2, (etermine the coor(inates xcan( yco" the center o"a 100 mm (iameter, circular hole cut in a thin plate so that this pointill be the centroi( o" the remainin sha(e( area.

c! = ;90 : man stan(s on the mi((le run o" a 200 : la((er, as shon inFi.. =ssumin a smooth all at B an( a stop at = to pre$ent slippin,6n( the reactions at = an( B.

(! = system o" a coplanar "orces actin on a rii( bar is as shon in Fi. b! a sinle "orce an( a

couple at = an( >c! a sinle "orce an( a couple at B.

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e! State an( pro$e parallel axis theorem.

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-ART =

A2'3e& 2 FOUR >ue't"o2'?5106?0M

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o" a hori@ontal "orces applie( to the loer bloc that ill hol( the systemin e%uilibrium.

G. &ith re"erence to the coor(inate axes x an( y, locate the centroi( o" thesha(e( area o" the plane 6ure shon in Fi. .

. alculate the moment o" inertia o" the sha(e( area in Fi. L ith respectto the x axis.

L. a! = roller o" ra(ius r 8 0

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by pullin on it ith a rope =B, as shon in the Fi. 11. &hat anle shoul( the rope mae ith the hori@ontal in or(er that the pull necessaryto cause sli(in to impen( ill be a minimum' &hat ill be the manitu(eo" this minimum "orce i" the anle o" "riction is M'

A93

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