Assignment 1 (B)

Subject : Engineering Graphics I
Unit II : Curves used in Engineering Practices
Topic : Methods of Construction of parabola Date of Submission : 1St Oct.2009
Class : F.E.
Division : C Name of the Faculty : Prof. D.B.Shelke
Instructions : Do not rub off construction lines.
Construction work should be very thin.
Write procedure to every method of construction.
Q.1 Draw the locus of a point which is equidistant from a point & a Line which is 5 cm away from the given fixed point. Name the curve and draw tangent and normal at any point on the curve.
Q.2 On a cricket ground, the ball thrown by a fielder reaches the wicket keeper following parabolic path, max height achieved by the ball above the ground is 30 m . Assuming the point of throw & the point of catch to be 1 m above the ground. Draw the path of the ball the distance between the fielder and the wicket keeper is 70 m.
Q.3 Two lines OA & OB are at right angles to each other OA is 140 mm long & horizontal whereas OB is 100 mm long & is vertical. Construct a parabola to pass through A & B.
Q.4 Draw a parabola circumscribing an isosceles triangle of base 80 mm & altitudes 50 mm.
Q.5 Construct a ▲ABC of sides AB= 80 mm , BC = 60 mm & AC = 50 mm. Draw parabola passing through all the vertices of triangle.
Q.6 AOB is a right angled triangle with OA=OB=45 mm & AOB = 900 .Draw a parabola passing through points A & B.
Q.7 An Artillery gun fires a bombshell from ground surface to a target on the same level & 15 Km away. Bomb shell achieves a maximum height 5 Km. Draw path traced by shell selecting a suitable scale. Also draw normal and tangent to the curve at any point on the curve and show Focus and directrix.
Q.8 Draw a parabola whose double ordinate is 120 mm and the angle of projection is 55 0 .Find its focus & directrix . Also draw a pair of tangents from a convenient point P outside the curve.