Recommandations for II-Mid in Engineering Drawing

Recommendations for II-Mid in Engineering drawing

1. A plot of 12m x 12m is represented by 4cm². Draw a scale to read upto 6 decameters. Represent 45m on it.

2. The distance between Bombay and Poona is 180km. A passenger train covers this distance in 6 hours. Construct a plain scale to measure time upto a single minute. The R.F of the scale is 1/200000. Find the distance covered by the train in 36 minutes.

3. The top view of a 75mm long line AB measures 65mm, while the length of its front view is 50mm. Its one end A is in the H.P. and 12mm in front of the V.P. Draw the projections of AB and determine its inclinations with the H.P. and the V.P.

4. a) Draw the projections of the following points on the same ground line, keeping the projectors 25mm apart.

     i)  A, in the H.P. and 20mm behind the V.P.

     ii) B, 40mm above the H.P. and 25mm in front of the V.P.

    iii) C, in the V.P. and 40mm above the H.P.

    iv) D, 25mm below the H.P. and 25mm behind the V.P.

    v) E, 15mm above the H.P. and 50mm behind the V.P.

   vi) F, 40mm below the H.P. and 25mm in front of the V.P.

  vii) G, in both the H.P. and the V.P.

b) A point A is situated in the first quadrant. Its shortest distance from the intersection point of H.P., V.P. and auxiliary plane is 60mm and it is equidistant from the principle planes. Draw the projections of the point and determine its distance from the principle planes. 

5. The projectors of the ends of a line AB are 5cm apart. The end A is 2cm above the H.P. and 3cm in front of the V.P. The end B is 1cm below the H.P. and 4cm behind the V.P. Determine the true length and its inclinations with the two planes.

6. A line PQ 100mm long, is inclined at 30⁰ to the H.P. and at 45⁰ to the V.P. Its mid-point is in the V.P. and 20mm above the H.P. Draw its projections, if its end P is in the third quadrant and Q in the first quadrant

7. A semi-circular plate of 80mm diameter, has its straight edge on V.P. and inclined at 30⁰ to H.P., while the surface of the plate is inclined at 45⁰ to V.P. Draw the projections of the plate.

8. A regular hexagon plane of 45mm side has a corner on H.P., and its surface is inclined at 45⁰ to H.P. Draw the projections, when the diagonal through the corner. which is on H.P. makes 30⁰ with V.P.

9. Draw the projections of a rhombus, having diagonals 120mm and 60mm long, the smaller diagonal of which is parallel to both the principle planes, while the other is inclined at 30⁰ to H.P.

10. Construct a diagonal scale to read kilometers, Hecta meters and decameters and long enough to measure upto 6 kilometers. When a line of length 1 cm represents a distance of 0.5 kilometers, Calculate the R.F and  indicate a distance of 2.45 kilometers on the scale.

11. A regular pentagon of 30mm side, is resting on one of its edges on H.P. which is inclined at 45⁰ to V.P. Its surface is inclined at 30⁰ to H.P. Draw its projections.

IMPORTANT QUESTIONS FROM PREVIOUS UNIVERSITY EXAMS QUESTION PAPERS

curves

1.      Construct an ellipse with distance of the focus from the directrix as 50 mm and eccentricity as 2/3. Also draw normal and tangent to the curve at a point 40mm from the directrix. (june.2008,ECE,set:1)

2.      A fixed point F is 7.5cm from a fixed straight line. Draw the locus of a point P moving in such a way that its distance from the fixed straight line is 2/3 times its distance from F. Name the curve. Draw normal and tangent at a point 6cm from F. (june.2008,ECE,set:2 & set:3) (Sept.2008,IT, Set:1)

3.      Two fixed points A and B are 100mm apart. Trace the complete path of a point P moving (in the same plane as that of A and B) in such a way that the sum of its distances from A and B is always equal to 125mm. Name the curve. Draw another curve parallel to and 25mm away from this curve. (june.2008,ECE,set:4) (Sept.2008,ECE, Set:1) (Sept.2008,ECE, Set:2)

4.      Inscribe an ellipse in parallelogram having sides 150mm and 100mm long and an included angle of 120⁰ . (june.2008,CSE,Set: 1)

5.      Draw a straight line AB of any length. Mark a point F , 65mm from AB. Trace the paths of a point P moving in such a way that the ratio of its distance from the point F to distance from AB is 2:3. Draw a normal and a tangent to the curve at a point on it 50mm from F. (june.2008,CSE,Set:2)

6.      A fixed point is 75mm from a fixed straight line. Draw the locus of a point P moving in such way that its distance from the fixed straight line is equal to it distance from the fixed point. Name the curve. Draw a normal and tangent on the curve. (june.2008,CSE,Set:3)

7.      Draw a straight line AB of any length. Mark a point F, 65mm from AB. Trace the paths of a point P moving in such a way that the ratio of its distance from the point F to distance from AB is 1. Draw a normal and a tangent to the curve at a point on it 50mm from F. (june.2008,CSE,Set:4)

8.      The vertex of a hyperbola is 65mm from its focus. Draw the curve if the eccentricity is 3/2. Draw a normal and a tangent at appoint on the curve 75mm from the directrix. (june.2008,EEE,Set:1)

9.      The foci of an ellipse are 80mm apart and minor axis is 55mm long. Determine the length of the major axis and draw the ellipse by concentric circle method. Draw a curve parallel to the ellipse and 20mm away from it. (june.2008,EEE,Set:2)

10.  Two straight lines OA and OB making an angle 75⁰ between them. P is a point 40mm from OA and 50mm from OB. Draw a hyperbola through P with OA and OB as asymptotes making at least 10 points. (june.2008,EEE, Set:3)

11.  (a) Inscribe an ellipse in parallelogram having sides 150mm and 100mm long and an included angle of 120⁰ .   

      (b) Draw a rectangle having its sides 125mm and 75 mm long.Inscribe  two parabolas in it with their axis bisecting each other. (june.2008,EEE, Set:4)        

12.  Draw a straight line AB of any length. Mark a point F, 75mm from AB. Trace the paths of a point P moving in such a way that the ratio of its distance from the point F to distance from AB is 3:2.Plot at least 8 points. Name the curve. Draw a normal and a tangent to the each curve at a point on it 50mm from F. (june.2008,IT, Set:2)        

13.  The major axis of an ellipse is 150mm and the minor axis is 100mm long. Find the foci and draw the ellipse by arcs of circles method. Draw a tangent to the ellipse at a point on it 25mm above the major axis. (june.2008,IT, Set:3)

14.  A point P is 30mm and 50mm respectively from two straight lines called asymptotes, which are at right angles to each other. Draw a rectangular hyperbola from P with in 10mm distance from each line. (june.2008,IT, Set:4) 

15.  Construct a parabola when the distance between focus and the directrix is 40mm. Draw tangent and normal at any point P on the curve. (Sept.2008,IT, Set:2)   

    

16.  (a)Two points A and B are 100mm apart. A point C is 75mm from A and 60mm from B. draw an ellipse passing through A,B and C.

 (b) A point P is 30mm and 50mm respectively from two straight lines which are at right angles to 

each other. Draw a rectangular hyperbola from P with in 10mm distance from each line.       (Sept.2008,IT,  Set:3)   

17.  (a)Two points A and B are 100mm apart. A point C is 75mm from A and 60mm from B.

           draw an ellipse passing through A,B and C.                                                                   

(b) The foci of an ellipse are 85mm apart and the minor axis is 60mm long.Determine the length of 

      the major axis and draw the ellipse by oblong method. (Sept.2008,IT,Set:4)   

18.  Costruct a hyperbola when the distance between the focus and the directrix is 40mm and the eccentricity is 4/3. Draw a tangent and normal at any point on the hyperbola. (Sept.2008,ECE, Set:3)

19.  Two straight lines OA and OB make an angle of 75⁰ between them. P is a point 40mm from OA and 50mm from OB. Draw a hyperbola through P with OA and OB as asymptotes making at least 10 points. (Sept.2008,ECE, Set:4)

20.  Draw a straight line AB of any length. Make a point F 65mm from AB. Trace the paths of a point P moving in such a way that the ratio of its distance from the point F, to its distance from AB is

                            (a) 3:2                                              (b) 1

Plot at least 10 points.Name each curves. Draw a normal and tangent to each curve at appoint on it 45mm from F. (Sept.2008,CSE, Set:1)

21.  (a) A fountain jet discharges water from ground level at an angle of 50⁰ to the ground. The jet travels a horizontal distance of 9cm from the point of the discharge and falls on the ground. Trace the path of the jet.

(b) The distance between two fixed points is 90mm. A point P moves such that the difference of its  

     distance from the two fixed points is always equal to 60mm. Draw the loci of P. (Sept.2008,CSE, Set:2)

22.  Construct an ellipse when the distance between the focus and the directrix is 30mm and the eccentricity is 3/4.Draw the tangent and normalat any point Pon the curve using directrix. . (Sept.2008,CSE, Set:3)

23.  (a) Inscribe an ellipse in parallelogram having sides 150mm and 100mm long and an

included  angleof120⁰ .                                                                                                                                                  

      (b) Draw a rectangle having its sides 125mm and 75 mm long . Inscribe  two parabolas in it with teir

           axis bisecting each other. (SEP.2008,CSE, Set:4)

24.  Show by means of a drawing that when the diameter of the directing circle is twice that of the generating circle,the hypocycloid is a straight line.Take the diameter of the generating circle is equal to 50mm. . (june.2008,EEE, Set:1) (Sept.2008,CSE, Set:3)

25.  A circle of 50mm diameter rolls on the circumference of another circleof 175mm diameter and out side it.Trace the locus of a point on circumference of the rolling circle for one complete revolution.Name the curve.Draw a tangent and normal to the curve at a point 125mmfrom the center of the directing circle. (june.2008,EEE, Set:2)

26.  A circle of 35mm diameter rolls on on a horizontal line. Draw the curve traced out by a point R from the circumference for one half revolution of the circle. For the remaining half revolution , the circle rolls on the vertical line. The point R vertically above the center of the circle in the starting position. (june.2008,EEE, Set:3) (Sept.2008,ECE, Set:2)

27.  Draw a hypocycloid of a circle of 30mm diameter which rolls inside another circle of 160mm diameter, for one revolution counter clock wise. Draw a tangent and a normal to it at a point 60mm from the center of the directing circle. (june.2008,EEE, Set:4) (Sept.2008,IT, Set:3)

28.  Show by means of a drawing that when the diameter of the directing circle is twice that of the generating circle, the hypocycloid is a straight line. Take the diameter of the generating circle is equal to 60mm. (june.2008,IT, Set:1&Set:4)

29.  Construct a hypocycloid, rolling circle 50mm diameter and directing circle 175mm diameter. Draw a tangent to it at a point 50mm from the center of the directing circle. (Sept.2008,IT, Set:1)

30.  A circle of 50mm diameter rolls along a straight line without slipping. Draw the curve traced out by a point P on the circumference, for one complete revolution of the circle. Name the curve. Draw a tangent to the curve at a point on it 40mm from the line. (Sept.2008,IT, Set:2)

31.  A circle of 40mm diameter rolls on a straight line without slipping. In the initial position the diameter PQ of the circle is parallel to the line on which it rolls. Draw the locus of the points P and Q for one complete revolution of the circle. (Sept.2008,IT, Set:4)

32.  A circle of 30mm diameter rolls along a line for one revolution clockwise. Draw the locus of the point on the circle, which is in contact with the line. Also draw a tangent and a normal to the curve at a point 20mm from the directing line. (Sept.2008,ECE, Set:1) (Sept.2008,ECE, Set:4)

33.  A coin of 40mm diameter rolls over a horizontal table without slipping. A point on the circumference of the coin is in contact with the table surface in beginning and after one complete revolution. Draw and name the curve. Draw a tangent and normal at any point on the curve. (Sept.2008,ECE, Set:3)

34.  A circle of 50mm diameter rolls on a horizontal line for half a revolution clockwise and then on a line inclined at 60⁰ to the horizontal for another half clockwise. Draw the curve traced out by a point P on the circumference of the circle taking top most point on the rolling circle as the initial position of the generating point. (Sept.2008,CSE, Set:2)

35.  Construct a cycloid, given the diameter of the generating circle is 40mm. Draw a tangent to the curve at a point on it 30mm from the line. (Sept.2008,CSE, Set:4)

        36.In a triangle ABC; AB, AC and BC are 75 mm, 60 mm and 50 mm respectively.

             Draw an ellipse such that A and B are the foci and C is a point on the curve.

        37.A circus man rides on a motor cycle, inside a globe of 4 m diameter. The motor

             cycle wheel is 1 m in diameter. Draw the locus of a point on the circumference of

             the wheel of motor cycle for its one complete turn on the maximum circular path,

             and name the curve.

        38. The major axis of an ellipse is 120 mm and the distance between the foci is 80 mm.determine the     length of the minor axis.Draw the ellipse by any method. Also,draw a tangent and normal to the curve through a point P,when it is situated at a distance of 80 mm from one of the foci and lying on the curve.

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