Problems on Helix

Helix

HELIX UPON A CYLINDER

1 ] Draw a helix of one convolution, upon a cylinder. Given 80 mm pitch and 50 mm diameter of a cylinder given 80 mm pitch and 50 mm diameter of a cylinder. ( The axial advance during one complete revolution is called the pitch of the helix )

Solution Steps

1. Draw projections of cylinder.


2. Divide circle and axis into the same no. of equal parts. ( 8 )


3. Name those as shown.


4. mark the initial position of point P.


5. mark various positions of p as shown in the figure.


6. Join all points by smooth possible curve.


7. Make upper half dotted, as it is going behind the solid and hence will not be seen from the front side.

HELIX UPON A CONE

2 ] Draw a helix of one convolution, upon a cone, diameter of base 70 mm, axis 90 mm pitch.( The axial advance during one complete revolution is called The pitch of the helix )

Solution Steps

1. Draw projection of a cone.


2. Divide circle and axis into the same no of equal parts. ( 8 )


3. Name those as shown.


4. Mark the initial position of point P.


5. Mark various Positions of P as shown in the figure.


6. Join all points by smooth possible curve.


7. Mark upper half dotted, as it is going behind the solid.


8. And hence will not be seen from the front side.

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