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B.E-B.E ENGINEERING MECHANICS (Karunya University, Coimbatore-2011)

Friday, 23 August 2013 11:20anudouglas
Reg. No. ________                                                                                                                                                   

Karunya University

(Karunya Institute of Technology and Sciences)

(Declared as Deemed to be University under Sec.3 of the UGC Act, 1956)

 

Supplementary Examination - June 2011

 

Subject Title: ENGINEERING MECHANICS                                                                                   Time: 3 hours

Subject Code:            CE204                                                                                                                               Maximum Marks: 100          

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              

Answer ALL questions

PART – A (10 x 1 = 10 MARKS)

 

1.         Forces acting on a common line of action are known as __________.

2.         A force F =700i + 1500 j is applied to a bolt. Determine the magnitude of Force.

3.         Write the equations which express the condition of equilibrium of a rigid body.

4.         Define coefficient of Friction.

5.         Write the formula for Moment of Inertia of Rectangular and Triangular Section.

6.         State Parallel axis theorem.

7.         What is Uniform Motion?

8.         The path travelled by a Projectile is __________.

9.         State D Alembert’s Principle.

10.       What is Oblique Impact?        

 

PART – B (5 x 3 = 15 MARKS)

 

11.       State Varigon’s Theorem.

12.       Discuss Coloumb’s law of dry Friction.

13.       Determine the second moment of area of a triangle about its base.

14.       A car starts from the rest with a constant acceleration of 4 m/s2.  Determine the distance   travelled in the 7th second.

15.       Explain the law of conservation of Momentum.

 

PART – C (5 x 15 = 75 MARKS)

 

16.       Determine the magnitude and direction of their resultant.

           

(OR)

17.       Determine the reactions at A and B.



 

 

[P.T.O]

 

18.       Reduce the given system of forces acting on the beam AB in figure below to

            a.         an equivalent force-couple system at A                      b.         an equivalent force-couple system at B.



(OR)

19.  Find the force P inclined at an angle of 32° to the inclined plane making an angle of 25° with the horizontal plane to slide a block weighing 125kN (i) up the inclined plane (ii) down the inclined plane, when co efficient of friction 0.5

           

 

20.       Find the Ixx and Iyy for the I section.



(OR)

21.  Determine the product of inertia of the angle section, shown in figure with respect to its centroidal axis.



22.  A train traveling from A to D along the track shown in figure. Its initial velocity at A is zero. The train takes 5 min to cover the distance AB, 2250 m length and 2.5 minutes to cover, the distance BC, 3000m in length, on reaching the station C, the brakes are applied and the train

stops 2250m beyond, at D. (i) Find the retardation on CD, (ii) the time it takes the train to get from A to D, and (iii) its average speed for the whole distance.



(OR)

[P.T.O]

 

 

23.  Two guns are pointed at each other, one upward at an angle of elevation of 30 degree and the other at the same angle of depression, the point of projections being 30m apart. If the guns are shot with velocities 350m/s upwards and 300m/s downwards respectively, find when and where they will meet. Take g = 9.8m/s2.

 

24.  Two blocks of weight 150N and 50 N are connected by a string a passing over a frictionless pulley as shown in figure. Determine the velocity of 150N block after 4 seconds. Also calculate the tension in the string.

(OR)

25.  A ball of mass 500g, moving with a velocity of 1m/s, impinges on a ball of mass 1 kg moving with a velocity of 0.75 m/s. At the time of impact, the velocities of the balls are parallel and inclined at 60° to the line joining their centers. Determine the velocities and direction of the balls after impact. Take, e=0.6.

 


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