Problems in Projection of Points – 2008-09

PROJECTION OF POINTS

CLASS WORK

 

1. Draw the projection of the following points.

• Point A which is 40 mm above HP and 55 mm in front of VP (First Quadrant)
  
• Point B, which is 10 mm above HP and 15 mm behind VP.(Second Quadrant)
  
• Point C, which is 25 mm below HP and 20 mm behind VP (Third Quadrant)
  
• Point D, which is 20 mm below HP and 20 mm in front of VP(Fourth Quadrant)
  

   

• Draw the projection of the following points lying on HP.
  

1. Point P which is 30 mm in front of VP.
   
2. Point Q which is 40 mm behind VP.
   

    

• Draw the projection of the following points lying on VP.
  

1. Point R which is 30 mm above HP.
   
2. Point S which is 40 mm below HP.
   

    

4. Draw the projection of points on a common reference line. Take 20 mm distance between the projectors.

Point A is 10 mm above HP and 25 mm in front VP

             Point B is 10 mm above HP and on the VP.

Point C is 25 mm below HP and 20 mm behind VP

Point D is 20 mm below HP and 20 mm in front of VP

Point E is on the reference line

Point F is on both HP and VP.

 

1. Figure shows the projections of different points. Determine the position of the points with reference to the projection planes. The distances marked are in millimeters.
   

 

 

1. A point C is on HP and 15 mm behind VP. Another point D is also on HP and 40 mm in front of VP. The distance between their projectors is 45 mm. Join their top views and determine the inclination of this line with XY line.
   
2. A point P is on HP and 20 mm in front of VP. Another point Q is also on HP and behind VP. The distance between their end projectors is 60 mm. Draw its projections if the line joining P and Q makes an angle of 60⁰ with reference line. Also find the position of point Q.
   
3. A point A is 25 mm above HP and is in the first quadrant. Its shortest distance from the reference line XY is 45 mm. Draw the projections of the point and determine its distance from the VP.
   

   
   

   ASSIGNMENT-1
   

1. A point B is 40 mm from HP & 25 from VP. draw its projections in all possible positions
   
2. Project the following points and specify their quadrants.
   
   1. A Point P plan is 40mm above XY and the elevation is 20mm below the plan.
      
   2. A Point Q its projections coincide with each other and 30 mm below XY.
      
3. A point S is 20 mm AHP and IVP, another point Q is 25 mm BVP and 40mm BHP. Draw the projections of S&Q .the distance between their projectors is 40 mm.
   
4. Draw the projection of following points on the same reference line keeping the projectors 15 mm apart.
   
   1. In the HP & 25 mm BVP
      
   2. 30 mm AHP & In the VP.
      
   3. 45 mm AHP & 20 mm IVP
      
   4. In the HP &25 mm I VP
      

   e) 40mm BHP& 25 mm IVP
   

   f) In the HP& In the VP.
   

5. Projections of various points are given in the figure. Determine their position of the with respect to HP and VP and mention their quadrant. Distances are given in mm.
   

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ADDITIONAL EXERCISES

1. A point 40 mm above XY is the plan of three points A, B and C. the point A is 20mm above, the point B is 30 mm below and point C is on the HP. Determine the projections of A, B and C.
   
2. Determine the projections of the points P,Q,R,S and T when
   

The plan of P is 20 mm below XY & p^‘ is 40 mm AHP

The plan of Q 30 mm above XY & q^‘ is 35mm AHP

The elevation of R is on XY & the point r is 45mm BVP.

s is in XY and the point S lies on the HP.

t is 20mm above XY and the point T is 30 mm BHP.

1. The points A and B are in the HP. The point A is 30 mm in front of VP. The distance between their projectors is 75 mm and the line joining their plans makes an angle of 45 degree with XY. Find the distance of the point B from the VP.
   
2. Draw the projection of a point P lying 30 AHP and in first quadrant, if its shortest distance from the line of intersection of planes is 50mm. also find the distance of the point from V.P