Jawaharlal Nehru Technological University Hyderabad

Jawaharlal Nehru Technological University Hyderabad B.Tech I ENGINEERING MECHANICS Previous Question Paper (May - 2018 - R16)

B.Tech | I | I-I | R16 | May - 2018

Answer PaperPaper Code: 131AEMaximum Marks: 75Time: 3 hours

Note: Part A is compulsory (25 marks). Part B consists of 5 Units. Answer any one full question from each unit (10 marks each).

Part A

1

Answer all parts:

25 marks
a
Classify different types of system of forces.
2 marks

Answer

  • Coplanar forces: Forces acting in the same plane.
  • Non-coplanar forces: Forces acting in different planes.
  • Concurrent forces: Forces whose lines of action pass through a single point.
  • Parallel forces: Forces whose lines of action are parallel to each other (like or unlike).
  • Collinear forces: Forces whose lines of action lie on the same straight line.
  • General force system: Forces that are neither concurrent nor parallel.
b
The cable exerts a tension of 2 kN on the fixed bracket at A. Write the vector expression for the tension T.
3 marks

Answer

Given the tension magnitude |T| = 2 kN, the vector expression is represented as T = T * u, where u is the unit vector along the direction of the cable. If the coordinates of A and the point of application are known, the vector is T = (T_x)i + (T_y)j + (T_z)k, where T_x, T_y, and T_z are the components of the 2 kN force along the respective axes.

c
Define the terms coefficient of friction and angle of friction.
2 marks

Answer

Sign in to view the complete answer paper.

d
What is a wedge? Explain how the wedge is used to raise heavy loads.
3 marks

Answer

Sign in to view the complete answer paper.

e
Write down the expression for the centroid of a quarter circle.
2 marks

Answer

Sign in to view the complete answer paper.

f
State and prove Pappus theorem I.
3 marks

Answer

Sign in to view the complete answer paper.

g
Define mass moment of inertia of a body about an axis.
2 marks

Answer

Sign in to view the complete answer paper.

h
Determine the mass moment of inertia of a rectangular plate of size a × b and thickness t about its centroidal axes.
3 marks

Answer

Sign in to view the complete answer paper.

i
State the D'Alembert's principle for a particle.
2 marks

Answer

Sign in to view the complete answer paper.

j
A force of 100 N acts on a body having a mass of 4 kg for 10 seconds. If the initial velocity is 5 m/sec, determine the acceleration produced and distance moved in 10 seconds.
3 marks

Answer

Sign in to view the complete answer paper.

Part B

2
Three cylinders are placed in a rectangular ditch. Neglecting friction, determine the reaction between cylinder A and the vertical wall. Weights of A, B, C are 75 N, 200 N, 100 N and Radii are 100 mm, 150 mm, 125 mm respectively.
10 marks

Answer

Sign in to view the complete answer paper.

OR
310 marks
a
State and Prove Lami's Theorem.
4 marks

Answer

Sign in to view the complete answer paper.

b
A 75 N vertical force is applied to a bar 3 m long attached to shaft O. Determine: i) Moment of 75 N force about O, ii) Horizontal force at A for same moment, iii) Smallest force at A for same moment, iv) Position for 200 N force for same moment.
6 marks

Answer

Sign in to view the complete answer paper.

4
Two identical planes AC and BC inclined at 60 and 30 degrees meet at C. A 1000 N load on BC is tied to a block W on AC. With coefficients of friction 0.28 and 0.20 respectively, find the least and greatest values of W for equilibrium.
10 marks

Answer

Sign in to view the complete answer paper.

OR
510 marks
a
Determine the friction force acting on a 100-kg block for P = 500 N and P = 100 N. Given static friction 0.20 and kinetic 0.17.
5 marks

Answer

Sign in to view the complete answer paper.

b
A screw jack has mean diameter 10 cm and pitch 1.25 cm. Determine the force to be applied at 50 cm lever end to raise/lower 50kN. Find efficiency and if it is self-locking (assume μ=0.2).
5 marks

Answer

Sign in to view the complete answer paper.

6
A corner of radius 20 mm is cut off from a square plate of 40 mm side. Find the moment of inertia of the remaining plate about its axes of symmetry.
10 marks

Answer

Sign in to view the complete answer paper.

OR
710 marks
a
Locate the centroid of the shaded area.
5 marks

Answer

Sign in to view the complete answer paper.

b
A uniform wire is bent into a shape where segments lie in X-Z plane (80 mm at 30 deg) and a semi-circular segment in X-Y plane. Locate the centroid.
5 marks

Answer

Sign in to view the complete answer paper.

810 marks
a
Determine the mass moment of inertia of a uniform ring of radius R and thickness t.
5 marks

Answer

Sign in to view the complete answer paper.

b
Determine the mass moment of inertia of a solid cone of height h and base radius r about its axis of rotation.
5 marks

Answer

Sign in to view the complete answer paper.

OR
9
A steel cone (h=500mm, d=600mm) has a hole (150mm deep, 200mm dia) filled with lead. Given densities of steel and lead, determine the mass moment of inertia about the geometrical axis.
10 marks

Answer

Sign in to view the complete answer paper.

1010 marks
a
Engine (50t) pulls a train (250t) up a gradient 1:125 at 36 kmph. Find power for uniform speed and for 0.2 m/s2 acceleration.
5 marks

Answer

Sign in to view the complete answer paper.

b
Two bodies (80kg, 20kg) connected by thread on a rough plane (μ=0.3) pulled by 400 N force. Determine acceleration and tension using D'Alembert's principle.
5 marks

Answer

Sign in to view the complete answer paper.

OR
1110 marks
a
Spring (k=200N/mm). Work done to compress first 30 mm and additional 20 mm.
4 marks

Answer

Sign in to view the complete answer paper.

b
Blocks of 100 N and 40 N on a pulley (50 N). Find tensions and linear acceleration.
6 marks

Answer

Sign in to view the complete answer paper.

About this paper

This page contains the solved question paper with answers of ENGINEERING MECHANICS from Jawaharlal Nehru Technological University Hyderabad for B.Tech CEE I I-I, May - 2018, R16.

For the question paper without answers, switch to the Question Paper tab.

Other papers in ENGINEERING MECHANICS

Loading Question Papers

Fetching data from database...