Application Of Projections of lines
APPLICATION OF PRINCIPLES OF PROJECTIONS LINES
IN SOLVING CASE OF DIFFERENT PRACTICAL SITUATIONS.
In these types of problems some situation in the filed
Or
some object will be described.
its relation with Ground (HP)
And
a wall or some vertical object (VP) will be given.
Indirectly information regarding FV & TV of some line or lines,
inclined to both reference planes will be given
And
you are supposed to draw its projections
and further to determine its true length and its inclinations with the ground.
Here various problems along with actual pictures of those situations are given for you to understand those clearly. Now looking for views in given ARROW directions, You are supposed to draw projections & find answers, of course, you must visualize the situation properly.
*image is given to you in question.
1 ] Two objects, a flower (A) and an orange (B) are within a rectangular compound wall, whose P & Q are walls meeting at 90º. Flower A is 1 M & 5.5 M from walls P & Q respectively. Orange B is 4 M & 1.5 M from walls P & Q respectively. Drawing projection, find the distance between them if the flower is 1.5 M and orange is 3.5 M above the ground. Consider a suitable scale.
2 ] Two mango on a tree A & B are 1.5 m and 3.00 m above ground and those are 1.2 m & 1.5 m thick wall but on opposite sides of it. If the distance measured between them along the ground and parallel to the wall is 2.6 m, Then find the real distance between them by drawing their projections.
3 ] oa, ob & of are three lines, 25 mm, 45 mm, and 65 mm long respectively. All equally inclined and the shortest is vertical. This fig. is a TV of three rods OA, OB, and OC whose ends A, B & C are on the ground and end O is 100 mm above ground. Draw their projections and find the length of each along with their angles with ground.
4 ] A pipeline from point A has a downward gradient 1:5 and it runs due East-South. Another point B is 12 M from A and due East of A and in the same level of A. Pipeline from B runs 20º Due East of South and meets pipeline from A at point C. Draw projections and find length of pipeline from B and its inclination with the ground.
5 ] A person observes two objects, A & B on the ground, from a tower, 15 M high, At the angles of depression 30º & 45º. Object A is due North-West direction of observe and object B is due West direction. Draw projection of the situation and find the distance of objects from an observer and from tower also.
6 ] Guy ropes of two poles fixed at 4.5 m and 7.5 m above ground, are attached to a corner of a building 15 M high, make 300 and 450 inclinations with ground respectively. The poles are 10 M apart. Determine by Drawing their projections, Length of each rope, and distance of poles from the building.
7 ] A tank of 4 M height is to be strengthened by four stay rods from each corner by fixing their ends to the flooring, at a point 1.2 M and 0.7 M from two adjacent walls respectively, as shown. Determine graphically length and angle of each rod with flooring.
8 ] A horizontal wooden platform 2 M long and 1.5 M wide is supported by four chains from its corners and chains are attached to a hook 5 M above the center of the platform. Draw projections of the objects and determine the length of each chain along with its inclination with the ground.
9 ] A room is of size 6.5 m, L 5 m, D 3.5 m high. An electric bulb hangs 1 m below the center of the ceiling. A switch is placed in one of the corners of the room, 1.5 m above the flooring. Draw the projections a determine, the real distance between the bulb and switch.
10 ] A picture frame 2 M wide and 1 M tall is resting on horizontal wall railing males 35º inclination with the wall. It is attached to a hook in the wall by two strings. The hook is 1.5 M above wall railing. Determine the length of each chain and the true angle between them.
