Engineering Mechanics (KCE301) - AKTU Question Paper 2021-22
B.Tech · Semester 3 · Free PDF Download
This is the official AKTU Engineering Mechanics Previous Year Question Paper for B.Tech Semester 3, 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 3
Session:2021-22
University:AKTU / UPTU
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Questions Asked in 2021-22
Engineering Mechanics (KCE301) — complete question paper
Section AAttempt All of the following Questions in brief Marks (10X2=20) CO
- aWrite down the different types of supports and loading system. 3
- bDefine work and power. Write the mathematical relation and SI unit. 4
- cDefine center of mass and write down the coordinates of center of gravity of triangle. 2
- dWhat is the difference between colinear and concurrent forces? 1
- eWrite down D’Alembert’s Principle. 5
- fA body of weight 50N placed on a horizontal surface is just moved by a force of 29N. Find the frictional force and normal reaction
- gWhat do you understand by point of contraflexure? 3
- hDiscuss the merits and demerits of friction. 1 Q1(i) Calculate the bending moment at centre of a simply supported beam carrying a point load. 3 Q1(j) Two spheres of weight P and Q rest inside a hollow cylinder which is resting on a horizontal force. Draw the free body diagram of both the spheres, together and separately
Section BAttempt ANY THREE of the following Questions Marks (3X10=30) CO
- aTwo channels are kept as shown in given figure, at
- adistance d between them to form the cross section of a column. Find the value of the distance ‘d’ if the centroidal moment of inertia Ix and Iy of the area are equal
- bA uniform rod 4 m long weighing 400 N is rigidly connected to the centre of a cylinder of mass 30 kg, as shown in given figure.The diameter of cylinder is 2 m. Find the linear acceleration of block weighing 2000 N connected to the cylinder by an inextensible string
- cExplain the principle of virtual work. A simply supported beam AB of span 5 m is loaded as shown in given figure, Using the principle of virtual work, find the reactions at A and B
- dState and prove Lami’s theorem. Two spheres, A and B, are resting in a smooth through as shown in given figure. Draw the free body diagrams of A and B showing all the forces acting on them, both in magnitude and direction. Radius of spheres A and B are 250 mm and 200 mm, respectively. ENGG. MECHANICS
- eDifferentiate between rectilinear and curvilinear motion. Also derive the expression for the Horizontal Range, Time of flight and maximum height of a projectile with initial velocity ‘u’ and inclined at an angle “α” with the horizontal
Section CAttempt ANY ONE following Question Marks (1X10=10) CO
- aA ladder of length 4 m weighing 200 N is placed against a vertical wall, as shown in given figure. The coefficient of friction between the wall and the ladder is 0.2 and that between the ladder and the floor is 0.3. The ladder in addition to its own weight has to support
- aman weighing 600 N at a distance of 3 m from A. Calculate the minimum horizontal force to be applied at A to prevent slipping
- bDefine the centre of gravity and centroid. Find the centroid of the shaded area in given figure
Section CAttempt ANY ONE following Question Marks (1X10=10) CO
- aDraw the SF and BM diagram for the simply supported beam loaded as shown in given figure
- bFind the forces in the members DF, DE, CE and EF by method of joints only for the pin- jointed frame shown in given figure
Section CAttempt ANY ONE following Question Marks (1X10=10) CO
- aState Work Energy principle. A uniform cylinder of 125mm radius has a mass of 0.15 kg. This cylinder rolls without slipping along a horizontal surface with a translation velocity of 20cm/sec. Determine its total kinetic energy. ENGG. MECHANICS
- bBlock P of mass 5 kg and block Q of mass ‘m’ kg are suspended through the chord, which is in the equilibrium position, as shown in given figure. Determine the mass of block Q
Section CAttempt ANY ONE following Question Marks (1X10=10) CO
- aDerive an equation for moment of inertia of triangle centroidal axis and about its base. 2
- bFind the moment of inertia of shaded area shown in given figure, about x-x axis and y-y axis
Section CAttempt ANY ONE following Question Marks (1X10=10) CO
- aTwo bodies A and B of mass 80 kg and 20 kg are connected by a thread and move along a rough horizontal plane under the action of a force 400 N applied to the first body of mass 80 kg as shown in given figure. The coefficient of friction between the sliding surfaces of the bodies and the plane is 0.3. Determine the acceleration of the two bodies and the tension in the thread, using D' Alembert’s principle
- bThe crank BC of a slider crank mechanism is rotating at constant speed of 30 rpm, as shown in given figure clockwise. Determine the velocity of the cross- head A at the given instant
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.
Repeated Questions — KCE301
Questions that appeared in more than one session, found by comparing 2 years of Engineering Mechanics papers (2021-22, 2022-23)
2x
Derive an equation for moment of inertia of triangle centroidal axis and about its base. 2
Appeared in: 2021-22 · 2022-23
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