Material for EDP for Remedial Session 2013-14

7/18/2019 Material for EDP for Remedial Session 2013-14

1/9Figure 1

22/05/2014 UNIT I

1. Construct an ellipse. When the distance of the focus from the directrix is

equal to 60 mm and eccentricity 2/3. lso dra! a normal and a tangent to the

cur"e at a point 3# mm from the focus.2. circle of #0 mm diameter rolls on a hori$ontal line for half a re"olution. For

the remaining half re"olution it rolls on a line perpendicular to the %rst. &ra!the cur"e traced 'y a point on the circumference of the circle

3. (f 1 cm long line on a map represents a real length of ) m calculate the *.F

and dra! a plain scale long enough to measure upto #0 m. sho! a distance

of )) m on it.). Construct a diagonal scale of *.F + 1/3000 to sho! meters, decimeters and

centimeters and long enough to measure upto 300 m. -ar on it a distance

of 2)6 meters.#. Construct a "ernier scale of 1)0 to read metres, decimeter, and centimeters

and long enough to measure upto 6 m.

est for Ellipse, Parabola, Hyperbola, Cycloid, Epicycloid, HypoCycloid,Inol!"e, #cales

1. Construct an ellipse. When the distance of the focus from the directrix is

equal to #0 mm and eccentricity 1/3. lso dra! a normal and a tangent to the

cur"e at a point )0 mm from the focus.2. Construct a diagonal scale of *.F + 1/2#00 to sho! meters, decimeters and

centimeters and long enough to measure upto 2#0 m. -ar on it a distance

of 200 meters.

22/05/2014 UNIT II

1. Draw the Projections of the Points given below: (i) point P1which is 50 mm above the HP and

0mmfront of the !P.(ii) point P" which is 50 mm above the HP and 0 mm behind the !P (iii)

point P# 50mmbelow the HP and 0 mm

behind the !P (iv) point P$which is 50

mm below the HP and 0 mm in front of

the !P.(v) point P%in the !P and

50mmabove the HP. (vi) point P& in the

!P and50 mm below the HP (vii) point P5

which is in the HP and 0 mm in front of

the !P. (viii) point P'which is in the HP

and 0 mm behind the !P.(i) point P

which lies in both the *Ps.

2. line of 100 mm length is

inclined at an angle of 300to

1


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a+1, -$50

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c

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ab c

da

+

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+

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+

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1

d

1

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+

b

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d

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+

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+

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+

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$

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00

and )#0to 4. he point is 1# mm a'o"e and 20 in front of 4. &ra! the

pro5ections of the line.olution *efer %gure 1

3. / reglar pentagon /2D3 of side 0 mm is parallel to the !P. 4he side / is perpendiclar to

the HP. Draw the projections of the pentagon.

). / reglar pentagon of 0 mm sides is resting on HP on one of its sides with its srface $5 0 inclined to

HP. Draw it+s projections when the side in HP maes 0 0angle with !P

5. *ectangle 0mm and 50mm sides is resting on HP on one small side which is 00 inclined to !P#

while the srface of the plane maes $50inclination with HP. Draw it+s projections.

7 F8* 9:( ((

1. 6ine / is '5 mm long and it is 007$008nclined to HP7 !P respectivel.3nd / is 1"mm aboveHP and 10 mm in front of !P.

2. rectangle C& of si$e 30 mm x 20 mm is parallel to the and has a

shorter side perpendicular to the 4. &ra! its pro5ections

2


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2$/05/2014 UNIT $ %N& 4

1. Draw the projections of a cube of 35mm side, resting on one of itsfaces (bases) on HP, such that one of its vertica faces is paraeto and 1!mm in front of ".P.

2. % pen"a'onal pris(, )ain' base *i") a $0 (( side and +5 ((lon' ais, )as a co(er o- i"s base on ")e 'ro!nd and ais isinclined a" 0o "o ")e H.P. &ra* i"s proec"ions i- ")e planecon"ainin' ")a" co(er and ")e ais is parallel "o ")e .P#ol!"ion i'!re +

3

9igre 1a 9igre 1b 9igre 1c


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3. cone of diameter 60 mm and height 60 mm is resting on the on one of its

generators. &ra! its pro5ections if its axis is parallel to the 4.olution *efer %gure )

). square pyramid, 'ase )0 mm side and axis 6# mm long, has its 'ase on the.. and all the edges of the 'ase equally inclined to the 4.. (t is cut 'y asection plane, perpendicular to the 4., inclined at )#; to the .. and'isecting the axis. &ra! its sectional top "ie!, sectional side "ie! and trueshape of the section.

#. cu'e of 3# mm long edges is resting on the .. on one of its faces !ith a"ertical face inclined at 300to the 4. (t is cut 'y a section plane parallel tothe . and < mm a!ay from the axis and farther a!ay from the 4.. &ra! itssectional trait "ie! and the top "ie!.olution *efer Figure#

)


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UNIT 4

1. hexagonal prism of side of 'ase 20 mm and length of axis #0 mm is ept onthe ground on its 'ase such that t!o opposite sides of the 'ase are parallel to

the 4. (t is cut 'y an 1 inclined at )#; to the and passing through oneof the top corners of the prism. &ra! the de"elopment of the cut prismolution *efer Figure # =ii>

2. &ra! the de"elopment of the lateral surface of the part of the cylindersho!n in %g. 2 =i>

olution *efer Figure 2 =ii>

3. &ra! the de"elopment of the lateral surface of the part of the squarepyramid sho!n in %g. 3=i>.

#

Figure

Figure 2


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olution *efer %gure 3 =ii>

). "ertical square prism, 'ase #0 mm side, is completely penetrated 'y ahori$ontal square prism, 'ase 3# mm side, so that their axes intersect. heaxis of the hori$ontal prism is parallel to the 4.. !hile the faces of the t!oprisms are equally inclined to the 4.. &ra! the pro5ections of the solids,sho!ing lines of intersection. =ssume suita'le lengths for the prisms.>olution *efer %gure 1=a> for (llustration and Figure 1='> for solution

#. "ertical cylinder or ?0 mm diameter is completely penetrated 'y anothercylinder of 60 mm diameter, their axes 'isecting each other at right angles.&ra! their pro5ections sho!ing cur"es of penetration, assuming the axis of

the penetrating cylinder to 'e parallel to the 4..olution *efer %gure 1=a> for (llustration and Figure1 ='> for solution

6

Figure 3

Figure 1 ='>Figure 1 =a>


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Tes" -or in"ersec"ions o- solids

1. hori$ontal cylinder of )0mm diameter 120mm length penetrates a "ertical

cylinder of 60mm diameter 120mm height. he axes of the cylinders

intersect each other. &ra! the cur"es of intersection2. &ra! the de"elopment of lateral surface of a square pyramid !ith a )0 mm

'ase side and a 60 mm long axis !hich is resting on its 'ase in the .., !hen

=a> all the sides of the 'ase arc equally inclined to the 4.., and ='> a side of

the 'ase is parallel to the 4..

24/05/2014 UNIT 5

1. &ra! the orthographic "ie!s for the isometric dra!ing sho!n in %gure.

2. &ra! the orthographic "ie!s for the isometric dra!ing sho!n in %gure.

@

Figure 1 ='>Figure 1 =a>


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3. Front and top "ie!s of a casting are sho!n in %g1a. &ra! its isometric "ie!

). &ra! an (sometric ro5ection of a "ertical regular pentagonal pyramid resting

centrally, ha"ing one 'ase edge a!ay from the o'ser"er parallel to 4.., on

top of a "ertical cylinder. ide of the pentagon + 32 mm, height of pyramid +

#0 mm, diameter of cylinder + @6 mm and height of cylinder + )0 mm

olution *efer %gure.

#. straight line , ) cm long, is parallel to and 1.# cm a'o"e the

ground plane, and inclined at 30; to the picture plane. he end is 2

cm 'ehind the picture plane. he station point is ) cm a'o"e the ground

plane, # cm in front of the picture plane and lies in a central plane !hich

passes through the midApoint of . &ra! its perspecti"e "ie!.olution *efer %gure 2

?

Figure 1a Figure 1'


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Tes" -or Conersion o- Iso(e"ric ie*s "o or")o'rap)ic ie*s1. &ra! the orthographic "ie!s for the isometric dra!ing sho!n in %gure

2. &ra! the isometric pro5ection of a pentagonal prism !ith side of 'ase 2# mm

and axis @0 mm long. he pyramid is resting on its 'ase on .. !ith an edge of

the 'ase perpendicular to 4..

Documents

Material for EDP for Remedial Session 2013-14