^ C2801 Pages: 2
SET I
12 Calculate the moment of inertia of the area about the base AB. (10)

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4
20mm
1
(

= 40mm ~~ 40mm -- 40mm எ

13 a) State the theorems of Pappus Guldinus. (3)

0) A block weighing 400N resting on a rough horizontal floor supports a block 3 (7)
weighing 200 N. The blocks are connected to a string passing over a smooth
pulley as shown in figure. Determine the least horizontal P to be applied to block
A so as to just move it towards right. (170.25

14 a) A uniform ladder of weight 100 N and length 5 m is placed against a vertical wall (5) .
in a position where its inclination to vertical is 30°. A man weighing 800 N climbs
the ladder. At what position will the ladder slip? Coefficient of friction for all
contact surfaces is 0.2.

b) A simply supported beam AB of span 4 m is carrying a uniformly distributed load (5)
of 5kN/m over a length of 2 m from the right hand support. Calculate the support
reactions using the principle of virtual work.

SET 111
15 In a crank and connecting rod mechanism, the length of the crank and the connecting rod (10)
are 12 cm and 50 cm respectively. The crank is rotating at 300 rpm. Find the angular
velocity of the connecting rod and velocity of the piston when the crank is at an angle of
45 with the horizontal.

16 Two bodies of weights 60N and 40N are connected to the two ends of a light (10)
inextensible string, which passes over a smooth pulley. The weight 60N is placed
on a smooth inclined planeof angle of inclinationof 10°, while the weight 40N is
hanging free in air. Determine acceleration and tension in the string.

17 A body performing simple harmonic motion has a velocity of 12m/s when the (10)
displacement is 50 mm and 3m/s when the displacement is 100 mm, the
displacement being measured from the midpoint. Calculate the frequency and

amplitude of motion. What is the acceleration when the displacement is 75mm?
KR

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