EDUCATION: Assignment 1

DHANALAKSHMI COLLEGE OF ENGINEERING

Dr. V.P.R. Nagar, Manimangalam,

Chennai 601 301.

ENGINEERING GRAPHICS

UNIT I

ASSIGNMENT I

1. Draw the locus of a point P which moves in a plane in such a way that the ratio of its distances from a fixed point F and a fixed straight line AB is always 2/3. The distance between the fixed point F and fixed straight line is 50 mm. Also draw a tangent and normal on a point on the locus at a horizontal distance of 55mm from the fixed straight line. (JAN 2012)

2. A circle of 50mm diameter rolls on a horizontal line for ¾ of a revolution clockwise. Draw the path traced by a point P on the circumference of the circle. Also draw a tangent and normal at any point on the curve. (JAN 2009)

3. Draw the involute of a circle of diameter 50mm and draw the tangent and the normal to the involute at any point on the curve. (M/J 2009)

4. An inelastic string 155 mm long has one stone end attached to the circumference of a circular disc of 40 mm diameter. Draw the curve traced out by the end of the string, when it is completely wound around the disc keeping it always tight ( Wound Method).

5. Draw a hyperbola when the distance of the focus from the directrix is 70mm and the eccentricity e is 1.5. Draw the tangent and normal to the curve at a point P distance 50 mm from the directrix.(M/J 2012)

6. A fixed point F is 3.5 cm from a fixed straight line. Draw the locus of the 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 and draw a normal and tangent at any point on the curve. (JUNE 2011)

7. Draw epicycloids of a circle of 40 mm diameter, which rolls outside on another circle of 150 mm diameter for one revolution clock wise. Draw a tangent and normal to it at a point 95 mm from the centre of the directing circle.

8. Draw a hypocycloid of a circle of 40 mm diameter, which rolls inside of another circle of 160 mm diameter, for one revolution counter clockwise. Draw a tangent and normal to it at a point 65 mm from the centre of directing circle.

9. 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 it.

10. Draw an involute of square with side 35 mm. Assume a wire unwound from the square in the clockwise direction. Draw the tangent and normal at any point on the curve obtained.

ORTHOGRAPHIC PROJECTION

11. Draw the elevation, plan and left side view of the given block.