Assignments to IT branch

ENGINEERING GRAPHICS

SHEET NO: 2( CONICS)

1. The minor axis of an ellipse is 70mm and the distance between its focal points is also 70mm. Using a geometrical construction, draw the ellipse, full size showing all necessary construction lines.
2. Draw an ellipse with major axis 80mm and minor axis 60mm .Also draw one parallel curve, out side the original ellipse, and 18mm away from it.
3. Draw an ellipse with major axis AB= 120mm and the minor axis CD = 80mm. the centre lines formed by the major and minor axes intersect at the point ‘O’. Mark the foci of the ellipse on the line AOB. Point P lies on the ellipse such that the angle AOP= 45^0. Draw the tangent and normal at point P.
4. A stone thrown up in the air reaches a maximum height of 120m and falls at a point 90m away, horizontally. Trace the path of the stone, assuming it to be a parabolic. Take a suitable scale.
5. A cricket ball is thrown from a building, 7 m high and at the highest point of flight, it just passes over a palm tree 14m high. Draw the path traced by the ball if the distance between the palm tree and building is 3.5 m. use a scale of 1: 100.
6. Two points F1 and F2 are located on a plane sheet of paper and are 100mm apart. A point P moves on the sheet such that the difference of its distances from F1 and F2 always remained 50mm. find the locus of P? Draw a tangent and normal to the locus at any general point.

7. Two straight lines OA and OB make an angle of 75⁰ between them. P is a point 30mm from OA and 40mm from OB. Draw a hyperbola through P, with OA and OB as asymptotes marking at least 12 points.

SHEET NO 3(MISCELLANEOUS CURVES)

1. A circular wheel of 600mm diameter rolls without slipping along a straight surface. Draw the curve traced by a point P on its rim for 1.5 revolutions of the wheel. Name the curve traced.

2. A wheel of 50mm diameter rolls without slipping in two straight lines in two stages. For the first half of the revolution of the wheel, it rolls on a vertical line. In the second half it rolls on a line inclined at 40 ⁰ to the vertical. Draw the complete curve traced out by a point P on the circumference initially touching the vertical line in one revolution.

3. A motor cyclist drives his motor cycle in a globe of 4m diameter. The diameter of the motor cycle wheel is 80 cm .Draw the locus of a point spot on the circumference of the wheel for one revolution on the maximum diameter path in the globe

4. A string is completely wound around the circumference of a semi circular cylinder of 60 mm diameter holding the free end of the string such that the string is all the time held taut, it is unwound completely. Trace the path followed by the free end. Also name the curve

5. Draw an Archimedean spiral for 1.5 convolutions .the spiral starts from the pole and its greatest radius is 70mm .Draw the tangent to the curve at appoint 30mm from the pole

6. Construct a logarithmic spiral for one convolution given the length of shortest radius as 15mm and the ratio of the lengths of successive radius vectors enclosing an angle of 30 ⁰ as 9:8