Engineering Graphics Problems

Department of Mechanical Engg.:: Panimalar Engineering College Engineering Graphics :: Assignment UNIT –I :: CONIC SECTIONS

Parabola: (e=1) 1. Draw a Parabola when the distance of the focus from the directrix is 50 mm. Also draw the tangent and normal at a point on the curve which is 30 mm above the axis. 2. Draw the locus of a point, if its distance from the fixed point and fixed line is 30mm. Name the curve and also draw the tangent and normal to the curve at any convenient point. 3. A fixed point F is 7.5 cm 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 equal to its distance from F. Name the curve. Draw normal and tangent at a point 6cm from F. (Dimensions should be in mm in the drawing)

4. The vertex of the parabola is 3m from its directrix. Draw the curve. Also draw the normal and tangent at a point on the curve, 7m from the directrix. (Use appropriate scale)

hyperbola: (e>1) 5. Construct a hyperbola with the distance between the focus and the directrix as 50mm and eccentricity as 3 2 . Also draw normal and tangent to the curve at a point 30mm from axis. 6. Construct a hyperbola with the distance between the fixed point and the fixed line as 65mm and eccentricity as7/6. Also draw normal and tangent to the curve at a point 60mm from focus. 7. The directrix of a hyperbola is 65mm from focus. Draw the curve if the eccentricity is 1.2. Draw a normal and tangent at a point on the curve 75mm from directrix. 8. A fixed point is 75mm from a fixed straight line. Draw the locus of a moving point P such that its distance from the fixed point is twice the distance from the fixed straight line. Name the curve 9. The vertex of a hyperbola is 50mm from focus. Draw the curve if the eccentricity is 2 . Draw a normal and tangent at a point on the curve 75mm from focus.

Ellipse: (e<1) 10. Construct an ellipse with distance of the focus from the directrix as 50mm and eccentricity as 2/3. Also draw normal and tangent to the curve at a point 40 mm from directrix. 11. Draw a straight line AB of any length. Mark a point F, 65 mm 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 4:5. Plot at least 8 points and name the curve. Draw a normal and tangent at a point on the curve 55mm from F. 12. A fixed point is 75mm from a fixed straight line. Draw the locus of a moving point P such that its distance from the fixed straight line is twice the distance from the fixed point. Name the curve. 13. The distance of vertex and focus from the fixed straight line are 45mm and 75mm respectively. Draw and name the curve. Also draw the normal and tangent at a point on the curve, 30mm from the axis. 14. The vertex of a curve is 50mm from focus. Draw the curve if the eccentricity is 2 /2. Draw a normal and tangent at a point on the curve 75mm from focus. Page 1 of 3

Department of Mechanical Engg.:: Panimalar Engineering College Engineering Graphics :: Assignment Cycloid 1. Construct a cycloid given the diameter of the generating circle radius is 30mm. 2. A circular disc of radius 25mm rolls on a plane surface for one revolution. Draw the locus of a point, which is i. On the circumference of the disc. ii. At a distance of 15mm from the centre of the disc. iii. At a distance of 36mm from the centre of the disc. 3. A wheel of a bike of diameter 500mm rolls with out slipping on a level road through a distance of 1025mm. Trace the path of a point P on the wheel which is initially in contact with the road. Name the curve. Also find the angle through which the wheel is turned. Hint: Distance moved by the point P and wheel rotates through 180o=π250 =785mm Angle turned through the remaining distance of 1025-785 = 240 mm=55o ∴ the total angle turned through by the wheel = 180o+55o = 235o Construct the cycloid for the given length of 785+240 =1025 mm) 4. A circle of 40mm diameter rolls on a horizontal line. Draw the curve traced out by a point capital R on the circumference for one half revolution of the circle. For the remaining half revolution the circle rolls on a vertical line. The point R is vertically above the center of the circle in the starting position. 5. A circle of 50mm diameter rolls on a horizontal line for half a revolution clockwise and then on a line inclined at 60o to the horizontal for another half, clockwise. Draw the curve traced out by a point P on the circumference of the circle, taking the top most point on the rolling circle as the initial position of the generating point. Involutes 6. Draw the involute of a square of side 50mm and also draw the tangent and normal at a distance of 70mm from the centre of the square. 7. Draw an involute of a circle of 40mm diameter also draw a normal and tangent to it at a point 100 mm from the centre of the circle 8. Coir is unwound from a drum of 30mm diameter. Draw the locus of the free end of the coir for unwinding through an angle of 360o. Also draw a normal and tangent at any point on the curve. 9. An inelastic string of length 100mm is wound round a circle of 26mm diameter. Draw the path traced by the end of the string.

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Department of Mechanical Engg.:: Panimalar Engineering College Engineering Graphics :: Assignment UNIT –II :: STRAIGHT LINES 1. Draw the projections of a line BC,75mm long in the following positions o Parallel and 30mm above HP and in the VP o Perpendicular to VP, 25mm above HP and its one end in the VP o Inclined at 45o to the VP, in the HP and its one end in the VP 2. A line CD 100mm long is parallel to and 40mm above the HP, its two ends are 25mm and 50mm in front of VP. Draw its projections and find its inclination with VP. 3. A line EF, 65mm long has its end E 20mm above HP and 25mm in front of VP. The end F is 40mm above HP and 65mm in front of VP. Draw the projections of EF and show its inclinations with HP & VP. 4. 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 HP and 12mm in front of VP. Draw the projections of AB and determine its inclination with HP & VP. 5. A line BC, 90mm long is inclined at 45o to HP and its top view makes an angle of 60o with VP. The end A is in the HP and 12mm in front of the VP. Draw its front view and find its true inclination with VP. 6. A line AB measuring 75mm long has one of its ends 50mm in front of VP and 15mm above HP. The top view of the line is 50mm long. Draw and measure the front view. The other end is 15mm in front of VP and is above HP. Determine true inclinations. 7. A line CD, 80mm long has one of its end 60mm above HP and 20mm infront of VP. The other end is 15mm above HP and in front of VP. The front viewof the line is 65mm long. Draw the view and find the true inclinations. 8. Draw the projections of a straight line PQ 100mm long inclined at 45o to HP and 30o to VP. The end P is on HP and Q is on VP. 9. The true length of the line ST is 100mm. it is inclined at 50o to HP and 20o to VP. Mid point M is 60mm above HP and 45mm in front of VP. Draw the projections. 10. End A of the line AB is 15mm above HP and 20mm in front of VP. The other end is 50mm above Hp and 65mm in front of VP. The distance between the end projectors is 50mm. draw the projections and find true inclinations and true length by trapezoidal method. 11. Draw the projections of a straight line AB of 100mm long when end A touches HP and end B touches VP. The angle of inclinations with HP and VP are 40o and 50o respectively.

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