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

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

Answer

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

Answer

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f
State and prove Pappus theorem I.
3 marks

Answer

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

Answer

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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

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

Answer

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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

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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

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

Answer

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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

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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

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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

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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

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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

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

Answer

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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

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

Answer

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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

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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

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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

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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

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

Answer

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

Answer

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

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