Uttar Pradesh Technical University (UPTU) 2007-2nd Sem B.Tech Mechanical Engineering 2006- ENGINEERING MECHANICS - Question Paper
Printed Pages : 4 ME-202
(Following Paper ID and Roll No. to be filled in your Answer Book)
Roll No.
L
B. Tech.
(SEM. II) EXAMINATION, 2006-07 ENGINEERING MECHANICS
[Total Marks : 50
Time : 2 Hours]
Note : (i) Attempt all questions.
(ii) Assume missing data suitably, if any.
Attempt any four of the following :
3.5x4=14
Explain the law of transmissibility of forces. A particle is acted by following forces.
(a)
(b)
200 N inclined 30 with east towards north 250 N towards the north 300 N towards the north west 350 N inclined at 40 with west towards south
(1)
(2)
(3)
(4)
Find the resultant of all forces and its direction.
Four forces equal to P, 2P, 3P and 4P are acting along the four sides of a square ABCD as shown in figure. Find the magnitude, direction and position of resultant forces.
(c)
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3.P t> |  |
(d) A smooth circular cylinder of radius 2 m is lying in a triangular groove, one side of which makes 20 and other side makes 40 angle with the horizontal. Find the reaction at the surfaces of contact, if there is no friction and the cylinder weighs 2 kN.
(e) Briefly explain the Varignons Principle.
(f) Draw the bending moment diagram of the cantilever beam shown in the figure.
. 1 It NJ I'm ____-t t jfd-
c-Sm*4
Fig. 3
2 Attempt any four of the following : 3x4=12
(a) Differentiate between an imperfect truss, perfect truss and redundant truss.
(b) For the given truss find the forces in members BC, CD and BD.
Find the centroid of a uniform wire bent in form of a quadrant of the arc of a circle of radius R. State the parallel axis theorem.
What is product of inertia ? What will the product of inertia of a circular disc about its centroidal axis ?
(d)
(e)
(f)
Find the second moment of area of the given resection about the centroidal x axis as shown in Fig.5
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Fig. 5
3 Attempt any two of the following : 6x2=12
(a) The pitch of a single thread screw jack is 6 mm and its mean diameter is 60 mm. If the coefficient of friction is 0.1, determine the force required at the end of a 250 mm long lever from the axis of the screw to (i) raise a load of 48 kN (ii) lower the same load. Is the screw self locking?
(b) A belt is running over a pulley of diameter 1000 mm at 450 rpm. The angle of contact is 150 and the coefficient of friction is 0.35. If the maximum tension in the belt is limited to 1 kN, determine the power transmitted by it.
(c) A car weighing 4 kN is moving at a speed of 200 m/s. The resistance to the car is largely due to the air drag which is equal to 0.005 v2. What distance will it travel before its speed is reduced to 100 m/s ?
4 Attempt any two of the following : 6x2=12
(a) A cylinder of radius 80 mm rolls without slipping along a horizontal plane AB. Its center has a uniform velocity of 15 m/s. Find the velocities of points D and E on the rim of the cylinder.
e
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Fig. 6 (b) State the DAlemberts principle. A lift has an upward acceleration of 2.5 m/s2. What pressure will a man of weight 800 N exert on the floor of the lift ? Determine the pressure by him if the acceleration of lift is 2.5 m/s2 downwards. Assume g = 9.8 m/2. (c) With suitable examples explain the difference between conservative and non-conservative forces. An object weighing 100 N is pulled up by a 80 N force up an inclined smooth plane as shown in Fig.7. Determine the velocity of the object after it has moved 4 m. |
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