University Problem on Engineering Graphics solved in New Procedure Developed At Ashoka Institution to Draw cycloid , Not available in any text book

University Question: Draw a cycloid for complete one revolution of a cycle having 50mm diameter, Taking top most point on the rolling circle as a initial position of the generating cycle. Draw a tangent and normal to the curve at a point 40mm above the base line

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1c 2c

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3c

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4c

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5c 6c

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University Problem on Engineering Graphics solved in New Procedure Developed At Ashoka Institution to Draw cycloid , Not available in any text book

Draw a circle with given Radius or diameterDraw a line 0 12 equal to circumference Divide in to 12 equal partsName the pointsExtend the centre line mark the centre as shown

0

Dia =50

2πr/πD

Radius=25

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1c 2c

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3c

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4c

4 5

5c 6c

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7c

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8c

8 9

9c 10c

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11c

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12c

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1c 2c

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3c

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4c

4 5

5c 6c

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7c

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8c

8 9

9c 10c

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11c

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12c

12

300

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1c 2c

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3c

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4c

4 5

5c 6c

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7c

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8 9

9c 10c

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11c

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12c

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2p

600

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1c 2c

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3c

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4c

4 5

5c 6c

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7c

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8c

8 9

9c 10c

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11c

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12c

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3p2p

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1c 2c

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3c

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4c

4 5

5c 6c

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7c

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8c

8 9

9c 10c

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11c

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12c

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3p2p

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1c 2c

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3c

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4c

4 5

5c 6c

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7c

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8c

8 9

9c 10c

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11c

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12c

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1c 2c

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3c

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4c

4 5

5c 6c

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7c

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8c

8 9

9c 10c

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11c

11

12c

12

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1c 2c

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3c

3

4c

4 5

5c 6c

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7c

7

8c

8 9

9c 10c

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11c

11

12c

12

1

1c 2c

2

3c

3

4c

4 5

5c 6c

6

7c

7

8c

8 9

9c 10c

10

11c

11

12c

12

300

1

1c 2c

2

3c

3

4c

4 5

5c 6c

6

7c

7

8c

8 9

9c 10c

10

11c

11

12c

12

600

1

1c 2c

2

3c

3

4c

4 5

5c 6c

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7c

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8c

8 9

9c 10c

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11c

11

12c

12

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1c 2c

2

3c

3

4c

4 5

5c 6c

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7c

7

8c

8 9

9c10c

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11c

11

12c

12

300

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1c 2c

2

3c

3

4c

4 5

5c 6c

6

7c

7

8c

8 9

9c 10c

10

11c

11

12c

12

600

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1c 2c

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3c

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4c

4 5

5c 6c

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7c

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8c

8 9

9c 10c

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11c

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12c

12

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1c 2c

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3c

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4c

4 5

5c 6c

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7c

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8c

8 9

9c 10c

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11c

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12c

12

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1c 2c

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3c

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4c

4 5

5c6c

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7c

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8c

8 9

9c 10c

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11c

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12c

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1p

2p

3p

4p

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1c 2c

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3c

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4c

4 5

5c6c

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7c

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8c

8 9

9c 10c

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11c

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12c

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1p

2p

3p

4p 40

Locate the point 40mm from the base line as shown

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1c 2c

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3c

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4c

4 5

5c6c

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7c

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8c

8 9

9c 10c

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11c

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12c

12

1p

2p

3p

4p 40

Locate the centre of the point on centre line of the circle as shown

Radius 25mm

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1c 2c

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3c

3

4c

4 5

5c6c

6

7c

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8c

8 9

9c 10c

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11c

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12c

12

1p

2p

3p

4p 40

Draw vertical line as shown

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1c 2c

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3c

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4c

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5c6c

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7c

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8c

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9c 10c

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11c

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12c

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1p

2p

3p

4p 40

Join the line as shown which is normal

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1c 2c

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3c

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4c

4 5

5c6c

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7c

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8c

8 9

9c 10c

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11c

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12c

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1p

2p

3p

4p 40

Draw the tangent as shown