EG Jan 2012 an Answer

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    1(a) Draw the locus of a point P which moves in a plane in such a way that the ratio of its distances

    from a fixed point F and fixed straight line AB is always 2!" #he distance $etween fixed point f and

    fixed straight line is %&mm" also draw a tangent and normal on a point on the locus at a hori'ontal

    of %%mm from the fixedstraight line.

    Procedure

    1. Draw a line AB as directrix and mark a point C at midpoint of the line AB.

    2. From point C, draw a line CE perpendicular to AB and Mark the focus point, CF!" mm on it.

    #. Di$ide the line CF into ! e%ual parts.

    &. Mark the $ertex D such that CD2'#rdof CF.

    !. Draw a line D(DF perpendicular to DF

    ). Draw the line *oinin+ C( and extend it.

    -. Mark a point 1 on the line CE.

    E

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    . Draw a line throu+h 1 perpendicular to CE to intersect at 1/ on C(, if produced.

    0. ith F as centre 11/ as radius draw an arc, cuttin+ the line 11/ at 1

    1". imilarl3 mark points 2, #, & on the line CE and +et the points 2, #, & and 2/, #/, &/4.

    11. 5oin all the points throu+h smooth cur$e, the cur$e o6tained is an E7789E.

    1($) Draw the free hand setches of the front view and right side view of the machine component given

    $elow in figure"

    Procedure

    1. Find the o$erall len+th, width and hei+ht of solid.

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    2. :sin+ these $alues draw the 6oundaries'rectan+le for front, top and side $iews as per the first an+le of

    pro*ection.

    #. Draw the $isi6le and in$isi6le lines of the o6*ects in all three $iews.

    &. Darken all the $isi6le ed+es 63 thick continuous line and hidden ed+es 63 thick dashed line t3pe.

    2(a) A line P measuring *&mm is inclined to +P at !& oand to ,P at -%owith the end P 2& mm a$ove

    +P and 1%mm in front of ,P" Draw its pro.ections"

    Procedure

    1. Mark the front $iewp/and the top $iew pof the +i$en end Pwhich is 2"mm a6o$e ;.9 and 1!mm in front

    of line.

    #. From point p/draw a line, len+th of -"mm and with inclination of #"o

    to ;9 and mark the end as 01/.&. Draw a loci 0/alon+ 01/, which is parallel to => line.

    !. imilarl3 from point pdraw a line, len+th of -"mm and with inclination of &!oto line.

    ). 9ro*ect the end 01/ and 02$erticall3 upto loci pand p/respecti$el3. And mark the meetin+ points as 01and

    02/ respecti$el3.

    -. Draw an arc up to loci 0, with p as center and p01as distance and mark the meetin+ point as 0.

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    . imilarl3 follow the a6o$e step to identif3 the end 0/.

    0. Finall3 *oin the points p0and p/0/to +et the top $iew and front $iew of the +i$en line respecti$el3

    2($) A rectangular plate of side %&mm x 2%mm is resting on its shorter side on +P and inclined at !& oto

    ,P" ts surface is inclined at &

    o

    to +P" Draw its pro.ections.

    Procedure

    1. Draw the plan of a rectan+ular plate with shorter ed+e perpendicular to and transfer the second top $iew correspondin+ to that line as

    shown in the a6o$e fi+ure.

    !. ?ow 9ro*ect the plane till its meets the pro*ectors from second front .

    6. ?ame the intersections points and *oin them to +et the correspondin+ ele$ation of the rectan+ular lamina.

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    !(a) Draw the pro.ections of a pentagonal prism of !&mm $ase edges and axis &mm long when the

    axis is inclined at *%o to the +P and parallel to the ,P with an edge of the $ase on the +P"

    Procedure

    1. Draw the plan of the prism of 6ase side #"mm and with one of its 6ase ed+es is perpendicular to => and

    mark the correspondin+ points.

    2. Draw the correspondin+ ele$ation of the prism of hei+ht )"mm and +i$e the notations.

    #. ith the axis inclined at -!oto ;9 draw the final ele$ation of the prism and transfer the correspondin+

    points.&. From 6/ c/d/ 2/ #/ &/draw pro*ectors to meet the $ertical pro*ectors of initial top $iew.

    !. Mark the correspondin+ intersectin+ points and *oin the points to +et the prism inclined at -!oto ;9 and

    show the hidden ed+es 63 usin+ hidden lines.

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    !($) A right regular hexagonal pyramid3 edge of $ase 2% mm and height %& mm3 rests on one of its

    $ase edges on +P with its axis parallel to ,P" Draw the pro.ections of the pyramid when it $ase

    maes an angle of -%oto the +P"

    Procedure

    1. Draw the plan of the hexa+onal p3ramid of 6ase side #! mm, such that one of its sides is perpendicular to

    =>. 9ro*ect the ele$ation from the plan so that the axis hei+ht is !" mm.

    2. ith its 6ase inclined at &!o to ;9 draw the second ele$ation of the p3ramid 63 makin+ the ed+e restin+

    on ;9 i.e => line and mark the correspondin+ points.

    #. Draw the pro*ectors from the correspondin+ points from the final ele$ation and initial top $iew of the

    p3ramid.

    &. Mark the intersectin+ points from the pro*ectors and *oin them to +et the final ele$ation of the p3ramid, and

    show the hidden ed+es.

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    -(a) A s0uare pyramid $ase -&mm side and axis % mm long has its $ase on +P and all the edges of

    the $ase are e0ually inclined to ,P" t is cut $y a section plane perpendicular to ,P and inclined at

    -%o to +P and $isecting the axis" Draw its sectional top view3 and the true shape of the section"

    Procedure

    1. Draw the top $iew of the s%uare p3ramid of 6ase side &"mm such that 6oth the faces are e%uall3 inclined

    to => line.

    2. Draw the correspondin+ ele$ation of hei+ht )!mm and mark the notations correspondin+l3.

    #. Draw the cuttin+ plane such that it 6isects the axis and inclined at &!oto ;9.

    &. Mark the cuttin+ points and pro*ect these points on to the correspondin+ slant ed+es in plan and *oin it to

    +et the sectional plan.

    !. Draw a line =1>1parallel to 1

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    ). n these pro*ectors mark the cuttin+ points with respect to = 1>163 settin+ the hei+ht of plane from =>.

    5oin these points in se%uence to +et the true shape

    -($) Draw the development of the lateral surface of the lower portion of a cylinder of diameter %&mm

    and axis *&mm" the solid is cut $y a section plane inclined at -&oto +P and perpendicular to ,P and

    passing through the midpoint of the axis"

    Procedure

    1. Draw the pro*ections of the c3linder of diameter !"mm and hei+ht -"mm. Di$ide the plan circle into

    e%ual parts and draw +enerator lines in the ele$ation.

    2. Draw the cuttin+ plane line in the ele$ation which is inclined at &"o to ;9 and meetin+ at the midpoint of

    the axis.

    #. (i$e the notations for all the cuttin+ points in the ele$ation.

    &. Draw the full de$elopment of the c3linder @a rectan+le of hei+ht -"mm and len+th D 1!0.-!mm.

    !. ransfer the cuttin+ points to the correspondin+ +enerators in the de$elopment i.e. for A, draw horiontalline from a/ till meets the +enerator from 1 and mark the point. Follow the same procedure to +et

    remainin+ points on to the de$elopment.

    ). 5oin all the point in the de$elopment 63 smooth cur$es.

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    %(a) Draw the isometric pro.ection of the o$.ect from the views shown in figure"

    Procedure

    1. Find the o$erall len+th, width and hei+ht of solid.

    2. Construct an isometric 6ox @i.e an+les 6etween the corner of the 6ox should 6e 12"o.

    #. Construct the 6ox for correspondin+ len+th, hei+ht and width of the o6*ect.

    &. ?ow transfer the front $iew, top $iew,side $iew alon+ the len+th side,width side and hei+ht side of the 6ox.

    !. 5oin the points to +et the isometric $iew of the +i$en ortho+raphic pro*ections.

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    %($) A rectangular pyramid3 $ase !& mm x 2& mm and axis !% mm long3 is placed on the ground plane

    on its $ase3 with the longer of the $ase parallel to and !& mm $ehind the picture plane" #he central

    plane is !& mm to the left of the apex and station point is 2% mm in front of the picture plane and

    %& mm a$ove the ground plane" Draw the perspective view of the pyramid"

    Procedure

    1. Draw the 99 line, the plan of the o6*ect a6cd with a 6ase a 6 parallel to and #" mm 6ehind pp. Draw the

    (9 at con$enient distance from 99 and draw the ele$ation of the o6*ect with the 6ase on (9.

    2. Draw the central plan line C9 #" mm to the left to the axis and on it mark s, s/.

    #. 5oin the plan points with s and mark the intercepts with 99. *oin ele$ation points with s/ and +et the

    perspecti$e of all points.

    &. 5oin these points in proper se%uence to +et the perspecti$e