Textbook of Engineering Drawing, Second Edition

4.50 Textbook of Enginnering Orawing-------------------

9. Draw an ellipse of having a major axis of 110 mm and minor axis of 70 mm using the
   concentric circles method. Draw a tangent at any point on the ellipse.


10. Inscribe an ellipse in a parallelogram of sides 120 mm and 80 mm. The acute angle between
    the sides in 60°.

Parabola

1. Draw a parabola whose focus is at a distance of 50 mm from the directrix. Draw a tangent
   and normal at any point on it.


2. A highway bridge of parabolic shape is to be constructed with a span of 10m and a rise of
   5 m. Make out a profile of the bridge by offset method.


3. A ball thrown up in the air reaches a maximum height of 50 m. The horizontal distance
   traveled by the ball is 80 m. Trace the path of the ball and name it.


4. Construct a parabola if the distance between its focus and directrix is 60 mm. Also draw a
   tangent to the curve.


5. Construct a parabola whose base is 90 mm and axis is 80 mm using the following methods:
   (a) Rectangular method (b) Tangent method, (c) Off-set method


6. Draw a parabola if the longest ordinate of it is 50 mm and abscissa is 120 mm. Locate its
   focus and directrix.


7. A cricket ball thrown reaches a maximum height of 9 m and falls on the ground at a distance
   of25 m from the point ofprojection. Draw the path of the ball. What is the angle of projection?


8. Water comes out of an orifice fitted on the vertical side of a tank and it falls on the ground.
   The horizontal distance of the point where the water touches the ground, is 75 em when
   measured from the side of the tank. If the vertical distance between the orifice and the point
   is 30 em, draw the path of the jet of water.

Hyperbola

1. A vertex of a hyperbola is 50 mm from its focus. Draw two parts of the hyperbola; if the
   eccentricity is 3/2.


2. Two fixed point A and Bare 120 mm apart. Trace the locus of a point moving in such a way
   that the difference of its distances from the fixed points is 80 mm. Name the curve after
   plotting it.


3. Construct a hyperbola if the distance between the foci is 100 mm and the transverse axis is
   70mm.


4. The asymptotes of a hyperbola are making 700 with each other. A point P on the curve is at
   a distance of 40 mm from the horizontal asymptote and 50 mm from the inclined asymptote.
   Plot the curve. Draw a tangent and normal to the curve at any point M.


5. For a perfect gas the relation between the pressure, P and Volume, V is given by Boyle's

Law PV = constant. Draw a curve satisfying the above law, if0.5m^3 of air under atmospheric

pressure is comoressed. Name the curve.