EME102 Engineering Mechanics B.E Question paper : uptu.ac.in
Name of the University : Gautam Buddh Technical University
Degree : B.E
Department : Mechanical
Name Of The Subject : EME102 Engineering Mechanics
Document type : Model Question paper
Website :uptu.ac.in
Download Model/Sample Question Papers : https://www.pdfquestion.in/uploads/5320-engg_mech_final.pdf
Engineering Mechanics Model Question Paper :
EME102 Engineering Mechanics
Note :- Attempt all questions. All questions carry equal marks. 10×2=20
Related : Uttar Pradesh Technical University Mathematics-I B.Tech Question Paper Model : www.pdfquestion.in/6172.html
1. The resultant of two equal forces of magnitude ‘P’ acting at an angle α 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. A particle inside a hollow sphere of radius r having coefficient of friction can rest up to height equal to
(a) r/2 (b) r/4 (c) r/8 (d) 0.134r
7. 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
8. 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
9. Three perfectly elastic and similar balls are lying on the floor. When one is struck with a velocity ‘v’ it strikes second and onwards third. What will be their resultant velocity?
(a) v (b) v/2 (c) v/3 (d) v/4
10 Hooke’s law is valid up to
(a) Elastic limit (b) Proportionality limit (c) Yield point (d) No limit
Section B :
Note : Attempt any three question. All questions carry equal marks. 10×3=30
1 Two rollers of weight P and Q are connected by a flexible string AB. The rollers rest on two mutually perpendicular planes DE and EF as shown in figure. Calculate the tension in the string and the angle θ that it makes wit horizontal when the system is in equilibrium.
2 Draw the shear force and bending moment diagram for the over hanged beam shown in figure
3. Calculate the moment of inertia of T section about an axis parallel to the base of the T and passing through its centre of gravity.
4. 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.
5. 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.
Section C :
Note : Attempt all questions. All questions carry equal marks 10×5=50
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.
2. Attempt any TWO parts :
(a) Draw bending moment diagram for the following simply supported beam :
(b) What is plain truss? Explain the assumptions taken for the analysis of a beam.
(c) Derive an expression between loading, shear force and bending moment for a beam subjected to distributed load.
3. Attempt any TWO parts :
(a) Find the location of centroid of I section shown in figure.
(b) Find the moment of inertia of channel section shown in figure about xx axis
(c) What are perpendicular and parallel axis theorems? Discuss their application.
4. 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?