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Posted By: S.Aruljothi Member Level: Gold Posted Date: 28 Jul 2008
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2007 Anna University B.E Civil CC 302 — ENGINEERING MECHANICS Question paper
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CC 302 — ENGINEERING MECHANICS
Time : Three hours Maximum : 100 marks
Answer ALL questions.
PART A — (10 ? 2 = 20 marks)
1. Two forces of magnitude 240 N and 200 N are acting at a point O. If the angle between the forces is 60?, determine the magnitude of the resultant force.
2. A force acts through the origin. What is the magnitude of this force and the angle it makes with X axis?
3. State Polygon law of forces.
4. Derive the moment of inertia of a circle about its own centroid.
5. State the theorems of Pappus and Guildinus.
6. What are perfect and imperfect frames?
7. What is the bending moment and shear force at the fixed end of the cantilever beam of length ‘l ’ carrying a point load (w) at the force end?
8. State law of kinetic friction.
9. A particle is projected at such an angle that the horizontal range is three times the maximum height. Find the angle of projection.
10. A block of wood of weight 800 N is placed on a smooth inclined plane which makes an angle of 30? with the horizontal. Find the work done in pulling the block up for a length of 5 m.
PART B — (5 ? 16 = 80 marks)
11. A Truss of span 7.5 m carries a point load of 1 kN at joint D as shown in
Fig. Q. 11. Find the reactions and forces in the members of the truss. A and B are supports.
Fig. Q. 11
12. (a) A force vector is represented by a line AB. The coordinates of point A are (2, 4, 3) and of point B (1, –5, 2) respectively. If the magnitude of force is equal to 10 N, then determine (i) the components of the force along x, y and z axis (ii) angles with x, y and z axis (iii) specify the force vector.
Or
(b) The resultant of four forces which are acting at a point O is as shown in Fig. Q. 12 (b) is along Y axis. The magnitude of forces and are 10 kN, 20 kN, 40 kN respectively, the angles made by 10 kN, 20 kN and 40 kN with x axis are 30?, 90? and 120? respectively. Find the magnitude and direction of force if resultant is 72 kN.
Fig. Q. 12 (b)
13. (a) Find the moment of inertia about the centroidal X–X and Y–Y axis of the angle section 100 mm ? 80 mm ? 20 mm.
Or
(b) A right circular cylinder of 12 cm diameter is joined with a hemisphere of the same diameter face to face. Find the greatest height of the cylinder so that the centre of gravity of composite section coincides with the plane of joining the two sections. The density of the material of the hemisphere is twice that of the material of the cylinder.
14. (a) A simply supported beam 6 m long is carrying a uniformly distributed load of 5 kN/m over a length of 3 m from the right end. Draw the SF and BM diagrams for the beam and also calculate the maximum BM on the section.
Or
(b) A block of weight = 1290 N rests on a horizontal surface and supports another block of weight = 570 N on top of it. The block of weight is attached to a vertical wall by an inclined string AB as shown in Fig. Q. 14 (b). Find the force ‘P ’ applied to the lower block, that will be necessary to cause the slipping to impend.
Coefficient of friction between blocks ? and ? = 0.25
Coefficient of friction between block ? and horizontal surface = 0.40
Fig. Q. 14 (b)
15. (a) A wheel rotating about a fixed axis at 20 rpm is uniformly accelerated for 70 seconds, during which time it makes 50 revolutions. Find
(i) angular velocity at the end of this interval and
(ii) the time required for the speed to reach 100 revolutions per minute.
Or
(b) A body weighing 400 N is resting on a rough plane inclined at 20? to the horizontal. It is pulled up the plane from rest by means of a light flexible rope running parallel to the plane and passing over a light friction–less pulley at the top of the plane. The portion of the rope beyond the pulley hangs vertically and carries a weight of 225 N at the end. If the coefficient of friction between the block A and the plane is 0.15, find the velocity of the system after 3 seconds.
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