Code No: R161216                                        R16                                   SET - 1
I B. Tech II Semester Supplementary Examinations, Nov/Dec - 2017
                             ENGINEERING MECHANICS
                                  (Com. to CSE, IT, AGE)
Time: 3 hours                                                              Max. Marks: 70
             Note: 1. Question Paper consists of two parts (Part-A and Part-B)
                      2. Answering the question in Part-A is Compulsory
                      3. Answer any FOUR Questions from Part-B
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                                                      PART A
1.       a)      What is meant by limiting friction and impending motion?                         (2M)
         b)      State Lami`s theorem.                                                            (2M)
         c)      Distinguish between centroid and center of gravity.                              (2M)
         d)      Define product of inertia.                                                       (2M)
         e)      What are the differences between ``kinematics`` and ``kinetics``?                (2M)
         f)      State the work-energy equation for translation.                                  (2M)
         g)      When does a given system of parallel forces can be reduced to couple? Discuss.   (2M)
                                                      PART -B
2.       a)      A system of four forces acting on a body is                                      (7M)
                 shown in figure. Determine the resultant force
                 and its direction.
         b)      Two blocks A and B are resting against a wall                                    (7M)
                 and the floor as shown in figure. Find the value
                 of the horizontal force P applied to the lower
                 block that will hold the system in equilibrium.
                 Coefficients of frictions are 0.25 at the floor, 0.3
                 at the wall and 0.2 between the blocks.
3.       a)      Two spheres each of 1000N and of radius 25cm                                     (7M)
                 rest in a horizontal channel of width 90cm as
                 shown in figure. Find the reaction at the point of
                 contact A, B and C.
         b)      Determine the forces in the truss shown in the figure.                           (7M)
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                 Code No: R161216                                                       SET - 1
                                                            R16
4.       a)      Determine the area generated by rotating a line of length `l` about x-axis from a   (7M)
                 distance `r` using Pappus theorem.
         b)      Find the centroid of the following                                                  (7M)
                 figure.
5.       a)      Determine the mass moment of inertia of a cylinder shaft of 100mm diameter and      (7M)
                 2.5m height above the center of gravity axes. (Density,=8000kg/m3).
         b)      Determine moment of inertia of given section                                        (7M)
                 about centroidal XX axis.
6.       a)      A tower is 90m height. A particle is dropped from the top of a tower and at the     (7M)
                 same time another particle is projected upward from the foot of the tower. Both
                 the particles meet at a height of 30m. Find the velocity with which the second
                 particle is projected upwards.
         b)      A pulley of weight 400N has a radius of 0.6m. A                                     (7M)
                 block of 600N is suspended by a rope wound
                 round the pulley as shown in figure. Determine
                 the resulting acceleration of the weight and
                 tension in the rope.
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                 Code No: R161216                           R16   SET - 1
7.       a)      A ring weighing 350gm and a solid                          (7M)
                 cylinder weighing 450gm, both having
                 radius 110mm are given the same
                 velocity to roll towards the wall, as
                 shown in figure. If they start at the
                 same time, which one will hit the wall
                 earlier?
         b)      A train of weight 25,000kg is pulled by                    (7M)
                 an engine on a level track at a constant
                 speed of 54kmph. The frictional
                 resistance is 1kg per 100kg of the
                 weight of the train. Determine the
                 power of the engine. If the train is to
                 move with uniform acceleration of
                 1.2m/s2 on the track after attaining the
                 speed of 54kmph, determine the power
                 of the engine.
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