C A192004 Pages: 4

11 A pole AO is supported by a ball and socket joint at its base and by cables AB
and AC. Also it is subjected to forces 300N towards the negative X direction and
600N towards the positive Z direction and the forces act in a plane parallel to XZ
plane. Compute the forces in the cables and the reaction at the ball and socket

joint.
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SET 11
(ANSWER ANY 2 QUESTIONS : 2 X 10 = 20 MARKS)
12 A ladder of length 5m and weight 300N is placed against a vertical wall with

which it makes an angle of 45°. The coefficient of friction between the floor and
the ladder is 0.5 and that between the wall and the ladder is 0.4. In addition to its
own weight, the ladder has to support a man of weight 500N at 1൩ from the top
along the ladder. Determine the minimum inclination of the ladder with the
horizontal so that there is no slipping.

13 Determine the moment of inertia of the area shown in figure with respect to the
centroidal axes x and y.

14 a) Using first theorem of Pappus and Guldinus,find the surface area of a i) cylinder

and ii) right circular cone.

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