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[QUOTE=ijt.dolora@gmail.com;268830][B][U]Name of the organization [/U][/B]: Gautam Buddh Technical University, Lucknow
[B][U]Type of Announcement [/U][/B]: Model Question paper - Engineering Mechanical
[B][U]Home Page [/U][/B]: [URL]http://www.uptu.ac.in[/URL]
[CENTER][B]Model Question Paper Engineering Mechanical [/B]

[B]Section A[/B]
[/CENTER]
[B][U]Note[/U][/B]: Attempt all questions. All questions carry equal marks.
1. The resultant of two equal forces of magnitude ‘P’ acting at an angle a with each other is ____________.
2. If ‘j’ represents the number of joints and ‘m’ represents number of members of a truss. The condition for perfect truss is ____________, and the condition for deficient truss is ___________.
3. The expression for the moment of inertia of a triangle, in term of its base ‘a’ and height ‘h’, about its (triangle) base is given as ____________.
4. The range of projectile is maximum when the angle of projection is _________
5. In a cantilever beam carrying a concentrated load at the free end, the bending moment will be zero at ___________, and maximum at _____________.
6. Which of the following is/are statically indeterminate beam(s) 
(a) Cantilever beam (b) Simply supported beam (c) continuous beam (d) None of the above
7. The C.G. of a solid hemisphere lies on the central radius at a distance
(a) 3r/2 from the plane base (b) 3r/4 from the plane base (c) 3r/5 from the plane base (d) 3r/8 from the plane base
8. Hooke’s law is valid up to
(a) Elastic limit (b) Proportionality limit (c) Yield point (d) No limit
[CENTER][B]Section B[/B]
[/CENTER]
1. Calculate the tension in the string and the angle ? that it makes wit horizontal when the system is in equilibrium
2. A bullet of weight 50 gm is fired into a body of weight 5 kg, which is suspended by a string 1 m long. Due to this impact, the 5 kg body swings through an angle of 30º from the vertical. Calculate the velocity of the bullet.
3. A solid metal shaft of diameter 50 mm & length 2 m is twisted in a testing machine until one end rotates through an angle of 5º with respect to other end. For this twist, torque is 70 Nm. Calculate the maximum shear stress in the shaft and shear modulus of elasticity G.
[CENTER][B]Section C[/B]
[/CENTER]
1. Attempt any TWO parts
(a) Explain the followings
(i) Laws of Friction (ii) Transmissibility of Force (iii) Fee body diagram.
(b) What are the necessary and sufficient conditions for equilibrium for a concurrent force system?
(c) Derive the expression between tensions on two sides of a belt and pulley system in terms of angle of wrap and coefficient of friction.
Attempt any TWO parts 
(a) A food packet is dropped from a plan going at an altitude of 100m, what is the path of packet as seen from plane? What is the path as seen from the ground? What will be the actual path?
(b) Is it possible for a particle to describe a curved path if no force acts on it? Does the answer depend on frame of reference chosen to view the particle?
(c) The elevator shown in figure is descending with an acceleration of 2 m/s. The mass of the block A is 0.5 kg. What force is exerted by block A on block B?

[B][U]See more questions download the pdf file [/U][/B]: [URL]http://www.uptu.ac.in/examination/pdf/engg_mech_final.pdf[/URL][/QUOTE]

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