1. 2006-07<br />1. (a) Construct a diagonal scale of 1/48 showing yards, feet and inches to represent a maximum length of 8 yards and mark on the same 4 yards, 2 feet and 8 inches<br />(b) The major and minor axes of an ellipse are 125 and 100 mm respectively. Draw the curve by concentric circle method and locate the foci. Draw the normal and tangent through any point.<br />(c) The diameter of a directing circle is twice that of a generating circle. Show that the hypocycloid is a straight line when the diameter of the generating circle is 50 mm.<br />2. (a) A point ‘A’ is 15 mm above the HP and 20 mm in front of the VP. Another point ‘B’ is 25 mm behind the VP and 40 mm above the HP. Draw the projections of ‘A’ and ‘B’ keeping the distance between the projection equal to 90 mm. Draw the straight lines joining (a) their views from above and (b) their views from the front. <br />(b) An electric switch (A) and a bulb (B) fixed on a vertical wall are 5 metres apart. The distance between them measured parallel to the floor is 4 metres. If the switch is 1.5 metres above the floor, find the height of the bulb and the inclination of the line joining the two with the floor.<br />(c) A line AB inclined at 30° to the HP has its ends A and B, 25 and 60 mm in front of the VP respectively. The length of the view from above is 65 mm and its V.T. is 15 mm above the HP. Draw the projections of the line and locate its H.T. <br />3. A regular pentagon of 30 mm side is resting on one of its edges on the HP which is inclined at 45˚ to the VP. Its surface is inclined at 30˚ to HP. Draw its projections.<br />Answer. See Fig. 7<br />Or<br />A cube of 70 mm long edges has its horizontal faces equally inclined to the HP. It is cut by a sectional plane perpendicular to HP so that true shape of the section is a hexagon. Determine the inclination of the cutting plane with the VP and draw sectional front view and true shape of the section.<br />Answer. See Fig. 8<br />A cube of 70 mm long edges has its horizontal faces equally inclined to the HP. It is cut by a sectional plane perpendicular to HP so that true shape of the section is a hexagon. Determine the inclination of the cutting plane with the VP and draw sectional front view and true shape of the section.<br />4. A pentagonal prism of base sides 30 mm and axis length 60 mm is resting on HP on its base with a side of base parallel to VP. It is cut by a plane inclined at 35˚ to HP and perpendicular to VP and meets the axis 35 mm from the base. Draw the development of lower portion of the prism.<br />Or<br />Draw the isometric view. <br />5. Answer on the drawing sheet. Part (a) is compulsory.<br />(a) State the functions of utility commands.<br />Answer.<br />Following are the drawing utilities commands:<br />1. Audit 2. Recover 3. Drawing Recovery Manager 4. Update block icons 5. Purge<br />(b) Explain the functions of following commands. <br /> (i) Align (ii) Arc (iii) Area (iv) Array (v) Audit<br />Or<br />Explain the functions of:<br />(i) break (ii) cal (iii) chamfer (iv) change (v) copy<br />Nov.-Dec., 2007<br />1. (a) What is representative fraction?<br />(b) The representative fraction of a scale showing miles, furlong and chains is 1/50688. Draw a scale to read up to 5 miles and show on it the length representing 3 miles, 5 furlongs and 3 chains.<br />Or<br />An area of 144 square centimeters on a map represents an area of 36 sq. km on the field. Find R.F. of the scale of this map and draw a diagonal scale to show kilometers, hectometers and decameters to measure up to 10 kilometers. Indicate on this scale a distance of 7 kilometers, 5 hectometers and 6 decameters.<br />(c) A circle of 50 mm diameter rolls on the circumference of another circle of 175 mm diameter, outside it. Trace the locus of a point on the circumference of rolling circle for one complete revolution. Draw tangent and a normal to the locus at a point 125 mm from the centre of the directing circle. <br />Answer. See Fig. 13<br />(d) Inscribe an ellipse in a parallelogram having sides 150 mm and 100 mm and included angle of 120°<br />2. (a) Describe the first angle projection method.<br />(b) Draw the projections of the following points on the same base line keeping the projections 25 mm apart.<br />(i) Point A in the HP and 25 mm behind the VP.<br />(ii) Point B 15 mm above HP and 50 mm behind the VP. <br />(iii) Point C, 40 mm above the HP and 25 mm in front of VP.<br />(iv) Point D, in the VP and 40 mm above the HP.<br />(c) Draw the projections of a line AB when its end A is 20 mm above the HP and 10 mm in front of VP. Its end B is 55 mm above the HP and 60 mm in front of the VP and the distance between the projections A and B measured parallel to the xy line is 45 mm. Find the true length, Ө and ф of the line and locate its traces.<br />(d) A line AB, 65 mm long is inclined to HP at an angle of 45°. Its end point A is 15 mm above the HP and 25 mm in front of VP. Line AB is contained by a vertical plane making an angle of 45° to the VP. Draw the projections of the line. Find the inclination of the line with VP and locate its traces.<br />3. (a) Define auxiliary planes and classify.<br />(b) A cone base 70 mm and axis length 80 mm is kept on HP on its base. It is cut by an AIP in such a way that the true shape of the section is a hyperbola of base 50 mm and altitude 60 mm. Draw front view, sectional top view and true shape of the section.<br />Or<br />A cone base diameter 70 mm and axis length 80 mm is kept on the HP on its base. It is cut by a section plane perpendicular to both HP and VP in such a way that the true shape of the section is hyperbola of altitude 50 mm. Draw front view, top view and true shape of the section.<br />(c) The base surface of a stand is a square of 90 cm sides and is on ground. The top surface of it is a circle of 30 cm diameter and is 70 mm above the ground. The lower ends of four legs which are equal in length and equally spaced in plan, and are connected to the corners of square in base while the top ends are on the circumference of the circle at top. <br />Draw the projections of the stand when the four legs are equally inclined to front wall and find the length of legs and their inclination with ground.<br />4. (a) Draw the development of lateral surface of pentagonal prism with edge of base 40 mm and length 90 mm, kept on HP on its base with an edge of base parallel to VP when it is cut by an AIP inclined at 30˚ to HP and bisecting the axis of prism. <br />Answer. See Fig. 22<br />(b) Draw isometric view of the casting shown in two views in following figure.<br />Answer. See Fig. 23<br />Or<br />Draw the isometric view of the frustum of the hexagonal pyramid having side 40 mm and axis 90 mm long and its base is on the ground as shown in following figure. <br />Answer. See Fig. 24<br /> 5. (a) What are the reasons for implementing a CAD system? Discuss the various benefits of CAD.<br /> (b) What is AutoCAD? Discuss the functions of following commands of AutoCAD.<br />(i) MOVE (ii) EXTRUDE (iii) STRETCH (iv) EXTEND.<br />Or<br />(a) Discuss the various applications of and limitations of CAD.<br /> (b) Explain various methods of drawing a circle using circle command in AutoCAD.<br />(c) Classify the utility commands.<br />Dec.-Jan., 2008-09<br />!. (a) Define conic. What is eccentricity?<br />(b) A rectangular plot of land area 0.45 hectare is represented on a map by a similar rectangle of 5 sq. cm. Construct a scale to read up to a single meter and long enough to measure up to 400 meters. Mark the length of 257 meter on the scale. <br />Or<br />A distance of 1mm on a part of an instrument is to be represented by a line of 3 mm on drawing. Construct a scale showing tenth of mm, mm and cm and long enough to measure 5cm. Mark on it a distance of 35.7 mm.<br />Answer. See Fig. 26<br />(c) The foci of an ellipse are 90 mm apart and the minor axis is 65 mm long. Determine the length of major axis and draw the ellipse by concentric circle method. Draw the tangent to the ellipse at a point on it 25 mm above the major axis.<br />Or<br />One end of an inelastic thread of 120 mm length is attached to one corner of a regular hexagonal disc having a side of 25 mm. Draw the curve traced out by other end of the thread when it is completely wound along the periphery of the disc, reaping the thread always tight. Name the curve.<br />2. (a) How do you denote first angle projection method and third angle projection method using symbols.<br />(b) A line AB 90 mm long is inclined at 30˚ to the HP. Its end A is 12 mm above the HP and 20 mm in front of VP. Its front view measures 65 mm. Draw the top view of AB, and determine its inclinations with the VP and also HT and VT.<br />(c) Three vertical poles AB, CD and EF are respectively 5, 8 and 12 meter long. Their ends are on the ground and lie at the corners of an equilateral triangle at 10 meters long side. Determine graphically the distance between the top ends of poles viz AC, CE and EA.<br />(d) Two lines AB and AC make an angle of 120˚ between them in this front view and top view. AB is parallel to both the HPand VP. Determine the real angle between AB and AC.<br />3. (a) Show by means of traces, each of the following planes:<br />(i) Perpendicular to HP and inclined at 30˚ to VP.<br />(ii) Parallel to and 40 mm away from the VP<br />(b) Draw the projections of a regular pentagon of 40 mm side, having its surface inclined at 30˚ to the HP and a side in the HP and inclined at an angle of 60˚ to the VP.<br />(c) A hexagonal pyramid base 25 mm and axis 50 mm long has one of its triangular faces in the VP and edge of the base contained by that face makes angle of 30˚ with the HP. Draw its projections.<br />(d) A cone diameter of base 50 mm long is resting on its base on the ground. It is cut by a section plane perpendicular to the VP inclined at 75˚ to the HP and passing through the apex. Draw its front view, sectional top view and true shape of the section.<br />4. (a) A square pyramid, base 40 mm side and axis 65 mm long has its base on the ground with two edges parallel to the VP. It is cut by a section plane, perpendicular to the VP and inclined at 45˚ to the HP and bisecting the axis. Draw development of the surface of lower position of the pyramid.<br />(b) Draw the isometric view of the object shown in two views in following figures.<br />or<br />Draw the isometric view of the paper weight with spherical knob shown in the following figure.<br />5. (a) What is CAD? Discuss its benefits.<br />(b) With the help of neat sketches, explain the use of following AutoCAD commands:<br />(i) Rotate (ii) Offset (iii) Explode<br />(c) With the help of neat sketches, explain the use of following draw tools:<br />(i) Polyline (ii) Spline (iii) Hatch.<br />(d) Write short notes on the following:<br />(i) Concept of layer (ii) Polar and rectangular array.<br />2009<br />1. (a) Explain hypocycloidal curve.<br />(b) On a map the distance between two points is 14 cm. The real distance between them is 20 km. Draw a diagonal scale of this map to read kilometres and hectometres and to measure up to 30 kilometres. Show a distance of 18.9 km on this scale. <br />(c) Two fixed points A and B are 100 mm 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 the same and equal to 125 mm. Name the curve.<br />(d) A circle of 50 mm diameter rolls on the circumference of another circle of 175 mm diameter and outside it. Trace the locus of a point on the circumference of the rolling circle for one complete revolution. Name the curve.<br />2. (a) Explain orthographic projection.<br />(b) A point 30 mm above x y line is the plan-view of two points P and Q. The elevation of P is 45 mm above the HP while that of Q is 35 mm below HP. Draw the projections of the points and states their position with reference to the principal planes and the quadrant in which they lie.<br />(c) In complete projections of a line PQ, inclined at 30˚ to the HP are given in the figure. Complete the projections and determine its true length and its inclination with the VP.<br />(d) Two oranges on a tree are respectively 1.8 and 3 m above the ground and 1.2 m and 2.1 m from 0.3 m thick wall, but on the opposite sides of it. The distance between the oranges, measured along the ground and parallel to the wall is 2.7 m. Determine the real distance between the oranges.<br />3. (a) Explain profile plane.<br />(b) Draw the projections of a regular hexagon of 25 mm side, having one of its sides in the HP and inclined at 60˚ to the VP and its surface making an angle of 45˚ with the HP.<br />(c) Draw the projections of a rhombus having diagonals 125 mm and 50 mm long the smaller diagonal of which is parallel to both the principal planes, the other is inclined at 30˚ to the HP.<br />(d) A triangular prism, base 30 mm side and axis 50 mm long is lying on the HP on one of its triangular faces with its axis inclined at 30˚ to the VP. It is cut by a horizontal section plane at a distance of 12 mm above ground. Draw its front view and sectional top view.<br />4. (a) Explain development of surfaces.<br />(b) Draw the development of the lateral surface of the part P of the cone. The front view of which is shown in the figure.<br />(c) Draw the isometric view of the object, whose projections are given in the figure.<br />See Fig. 53<br />(d) Draw the isometric view from the given orthographic projections.<br />5. (a) Explain AutoCAD.<br />(b) Write any five basic commands of AutoCAD. Indicate the various options which are available in each command.<br />(c) Explain the functions of:<br />(i) Break (ii) Cal (iii) Chamfer (iv) Change.<br />(d) What are the benefits and limitations of CAD. <br />Nov.-Dec., 2009-10<br />1. (a) Write the use of scale.<br />(b) A block of ice-berg 1000 m3 volume, is represented by a block of 27 cm3 volume. Find the scale factor and construct a scale to measure up to 60 m. Mark a distance of 40.2 m on the scale.<br />(c) A stone is thrown from a building of 7 m height and at its highest flight; the stone just crosses a palm tree of 14 m height. Trace the path of the tree, if the distance between the building and the tree is 3.5 m.<br />(d) Draw a hypo-cycloid of a circle of 40 mm diameter, which inside another circle of 160 mm diameter, for one revolution counter-clockwise. Draw a tangent and a normal to it at a point 65 mm from the centre of the directing circle<br />2. (a) Why the projection of an object are not drawn in second and fourth quadrants?<br />(b) Point A, 7 mm above the HP and 15 mm in front of VP. Point B, 40 mm above the HP and 50 mm in front of VP. Projectors of point A and B are 50 mm apart. Draw the projections of line AB and find its HT, VT. Find the length of line AB.<br />(c) A line AB 70 mm long has its end A at 10 mm above HP and 15 mm in front of VP. Its front view and top view measure 50 mm and 60 mm respectively. Draw the projections of the line and determine the inclinations with HP and VP.<br />(d) A room is 4.8 m × 4.2 m × 3.6 m high. Determine graphically the distance between a top corner and bottom corner diagonally opposite to it.<br />3. (a) Define auxiliary plane and define it. <br />(b) The top view of a plate, the surface of which is perpendicular to the VP and inclined at 60˚ to the HP is a circle of 60 mm diameter. Find the true shape of the plate.<br />(c) A cube of 25 mm edges, is resting on one of its faces on HP. It is cut by a plane in such a way that the true section available is a regular hexagon. Find the apparent and true section of the cube. Find the inclination of the sectional top view with HP and VP.<br />(d) A pentagonal pyramid of base side 30 mm and height 50 mm is resting on the ground on one of its base side in such a way that one of its triangular face is perpendicular to both HP and VP. Draw the projections.<br />4. (a) What are the practical applications of development?<br />(b) A hexagonal prism of side of base 30 mm and axis 75 mm long, is resting on its base on HP such that, a rectangular face is parallel to VP. It is cut by a sectional plane perpendicular to VP and inclined at 30˚ to HP. The section plane is passing through the top end of an extreme lateral edge of the prism. Draw the development of the lateral surface of the cut prism.<br />(c) Draw the isometric drawing of the frustum of a right regular pyramid, side of base hexagon is 20 mm and of the top hexagon is 10 mm and height of the frustum is 40 mm. <br />(d) Plan and elevation of an object are identical as shown in figure, draw the isometric view.<br />5. (a) What are the reasons implementing a CAD system? Write the name of any display commands.<br />(b) Explain the functions of any three commands with the help of example:<br />(i) MOVE (ii) MIRROR (iii) POLYGON (iv) HATCH<br />(C) Write the method by AutoCAD to draw the following sketch using:<br />(i) Absolute coordinates (ii) Polar coordinate system<br />(d) Write the steps to prepare the following drawing in AutoCAD.<br />A point ‘A’ is 15 mm above the HP and 20 mm in front of the VP. Another point ‘B’ is 25 mm behind the VP and 40 mm above the HP. Draw the projections of ‘A’ and ‘B’ keeping the distance between the projection equal to 90 mm. Draw the straight lines joining (a) their views from above and (b) their views from the front. <br />