B.TechSemester 42021-22Engineering MechanicsKME402

Engineering Mechanics (KME402) - AKTU Question Paper 2021-22

B.Tech · Semester 4 · Free PDF Download

This is the official AKTU Engineering Mechanics Previous Year Question Paper for B.Tech Semester 4, academic session 2021-22. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.

Course:B.Tech
Semester:Semester 4
Session:2021-22
University:AKTU / UPTU

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Questions Asked in 2021-22

Engineering Mechanics (KME402) — complete question paper

Section AAttempt all q u e s t i o n s i n b r i e f . 2x10 = 20
  • a
    State the principle of transmissibility of force. 1
  • b
    What is a free body diagram? 1
  • c
    List the assumptions used in the analysis of a truss. 2
  • d
    Define point of contraflexure. In what type of beams this p oint occurs. 2
  • e
    What is the importance of axis of symmetry in determination of centre of gravity of a body?
  • f
    Explain the term radius of gyration 3
  • g
    What do you mean by general plane motion? 4
  • h
    Find the work done in pulling a weight 500 N through a dist ance of 5 m along
  • a
    horizontal surface by a force of 200 N, whose line of action makes an angle of 300 with the horizontal. (i) Differentiate between resilience and toughness. 5 (j) What do you understand by term pure bending? 5
Section BAttempt any three o f t h e f o l l o w i n g : 1 0 x 3 = 3 0
  • a
    A lever is hinged at C and attached to a control cable at A (fig. 1) determine (i) tension in the cable (ii) The reaction at C Fig. 1
  • b
    Define shear force and bending moment. Derive the relation between load, shear force and bending moment
  • c
    Determine the mass moment of inertia of cone about its cent ral axis. Take mass of cone as M and radius as R
  • d
    A long rod AB is supported at the upper edge of a wall of h eight 1.5 m and on
  • a
    horizontal floor as shown in fig. 2. If the lower end of the rod moves with a velocity VA = 2 m/s find the velocity of the contact point C of the rod and the angular velocity of the rod, when the rod is 600 to the horizontal. Fig. 2
  • e
    A timber beam 15 cm wide and 20 cm deep carries a uniformly distributed load over a span of 4 m and is simply supported. If the permiss ible stress is 30 N/mm2 calculate the maximum load which can be carried by the timber beam
Section CAttempt any one p a r t o f t h e f o l l o w i n g : 1 0 x 1 = 1 0
  • a
    State and prove Varignon’s theorem also list the applicatio ns of Varignon’s theorem
  • b
    A 15 0 wedge of negligible weight is to be driven to tighten a body B which is supporting a vertical load of 1000 N. If the coefficient of fri ction for all surfaces of contact is to be 0.25. Find minimum force P require d to drive the wedge shown in fig.3. Fig. 3
  • a
    Find out forces in all the me mbers of given truss shown in fig. 4. Fig. 4
  • b
    Draw the SFD and BMD for the beam shown in fig. 5 Fig. 5
  • a
    Determine ratio of a to r for which the centroid of the are a is located at point B shown in fig. 6. Fig. 6
  • b
    Find the moment of inertia of shaded area shown in fig. 7 a bout centroidal x- axis and also about axis AB. Fig. 7
  • a
    A train starts from rest and moves along a curved track of radius 750 m with a uniform acceleration until it attains a velocity of 80 km/hr at the end of third minute. Determine the tangential, normal and total acceleration in m/s2 of the train at the end of second minute
  • b
    Two blocks weighing 100 N and 40 N are supported at the end s of a rope of negligible weight which is passing over the rough surface of a pulley mounted on a horizontal axle. The pulley may be assumed as a solid disc with a weight of 50 N. Friction in the bearings of the pulley may be neglecte d. Find the tension on the two parts of the two rope and the linear acceler ation of the blocks
  • a
    The modulus of rigidity of a material is 24.8 kN/mm 2. A 10 mm diameter rod of the material is subjected to an axial tensile force of 5 kN and change in its diameter is observed to be 0.0032 mm. Calculate Poisson’s ratio and modulus of elasticity of the material
  • b
    Derive the pure torsion equation where symbols has usual me aning

Question text is extracted from the official AKTU question paper PDF above. Hindi translations are omitted — every question is printed in English in the original paper. Last verified: 2026-08-23.