Problem 7.10 Section of Solids – A spheres of diameter 40 mm is resting on a cube of side 60 mm. The cube is resting on H.P. and the assembly is cut by a cutting plane which is perpendicular to V.P. inclined to H.P. by the angle 60° and bisecting the full axis of the assembly. Draw front view, sectional top view and sectional left hand side view.

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*Procedure:*

__Step-1__ Draw a horizontal x-y line of some suitable length.

__Step-2__ Draw a square of side of base 60 mm below the x-y line at some suitable distance from it, such that two sides of the square should be parallel with x-y line. Give notations on it.

__Step-3__ From the center of the square, draw a vertical center line of length 60 mm from the x-y line as shown into the figure. And from all notations of the square draw vertical projectors of the length equal to its height i.e., 60 mm. It is a square shape & draw a circle of diameter 40 mm such that the vertical center line of the circle and the square should be same and it should rests on it, as shown in the figure. It is front view. And Give the notations on it.

__Step-4__ Draw a cutting plane line passing at the distance 50 mm from the base & on the center line of the square and circle in the front view, such that its inclination with the x-y line should be equal to 60°, as shown into the figure.

__Step-5__ Give the cutting points name at the intersection of the previously drawn cutting plane line with the vertical projectors of the square & circumference of the circle in front view, i.e., p’, q’, r’ etc. as shown into the figure.

__Step-6__ Now from these cutting points on the cutting plane line, draw vertical downward projectors in the top view, such that these projectors will intersect at respective points in the top view, as shown in the figure. Then draw hatching lines in the region bounded by these projectors in the top view. It is the Sectional Top View.

__Step-7__ Now draw an x’-y’ line perpendicular to the x-y line and on the right of the front view. Then draw horizontal projectors from the all notations and cutting points on the cutting plane line in right side of the x’-y’ line of some sufficient length as shown into the figure. And transfer the all notations form the sectional top view in the right side of the line x’-y’, such that these all the points will intersect with each other at respective points.

__Step-8__ Now Connects all the points in sequence with medium dark straight lines and smooth curve as per the shape of the cut section, as shown in the figure, and draw hatching lines in it. It is the Sectional Left Hand Side View.

__Step-9__ Give the dimensions by any one method of dimensions and give the notations as shown into the figure.