Ge6253 ENGINEERING MECHANICS
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This document contains a question paper for an engineering mechanics examination with 15 multiple choice and numerical problems in two parts - Part A (10 short answer questions) and Part B (5 long answer questions). The questions cover topics in engineering mechanics including forces, moments, equilibrium, centroids, friction, kinematics and kinetics. Sample problems include determining tensions in cables for different structural configurations, calculating reaction forces and moments, finding centroids and moments of inertia for basic shapes, and solving problems involving projectile motion, motion on inclined planes, and minimum forces required to raise or move objects against friction. The document provides figures and diagrams to illustrate the systems described in several of the problems.
Ge6253 ENGINEERING MECHANICS
- 1. Reg. No. : I~__·--'--1---L-L-1··--'--1---L-L__l._I-L_L__l.__t___j.. 1· Question Pape~ C.od~: ~0631 ·B.E./B.Tech. DEGREE EXAMINATION, NQVEMBERfDECEMBER 2018. Second Semester • Mecharucal Engip.eering GE 6253- ENGINEERING MECHANICS (Common to All Branches) (Regulations 2013) (Also common to : PTGE 6253- Erigineer~g MechaJrics for B.E. (Part-Time) First Semester- Mech~nical Engineering Regulatio~s- 2014) · <' Time : Three hours Maximum: 100 marks Answer ALL questions. .PART A-·dox2 = 20 marks). 1. Distinguish particle and rigid body. ·2. State the principle of transmissibility of force with simple sketch. < 3: When is moment of:force zero abouta line? 4. Write the equilibrium equations of a rigid body m2D. 5. State pappus-guldinus theorem for findihg surface area. 6. I;)ifferentiate centroid and centre ofgrav:lty. ' 7.. Define·instantaneous centre ofi:otation. 8. Define co-efficient of restitution. 9. What is uniform motion? 10.. Why kinetic friction is lesser than: static friction? '!;; . BIBIN.C / ASSOCIATE PROFESSOR / MECHANICAL ENGINEERING / RMK COLLEGE OF ENGINEERING AND TECHNOLOGY 1
- 2. PART B- (5 x 16 =80 marks) 11. (a) (i) Four coplanar forces are acting at a point. Three forces have magnitude of 20 N, 50 Nand 20, Nat ·angles of 45°, 200° and 270° re.specti~ely with respect to +x axis.. Fourth .force is unknown. Resultant force has a magnitude of 50 ~ and.acts along x-axis at an angle of oo with respect to +x axis. Determine the unknown force and its direction or angle from. +x-axis. (8) ·. . (ii) A lamp ~f ~ass 1 kg· is hung from-the ceiling by a chain and is pulled aside by a horizontal chord until the chain makes an angle of · 60° with the c:eiling. Find the tension in the chain and chord. (8) Or (b). A 200 kg cylinder is hung b:y means of two cables AB and AC, which are attached to the top of a wall. A horizontal force P perpendicular to the wall holds the cylinder in the position shown. Determine the magnitude of P and the tension; in each cabJe. • (16) Fig.l1(b) 12. (a) (i) A bar ABCD · is hinged at A and supported by a cable, at BC, passing over a~ frictiqnless pulley at P above it. Determine the tension in the cable and the reaction at A for a load of 500 N hanging at l). (8) Fig.. 12(a)(i) /' 2 20631 BIBIN.C / ASSOCIATE PROFESSOR / MECHANICAL ENGINEERING / RMK COLLEGE OF ENGINEERING AND TECHNOLOGY 2
- 3. (ii) Three ·forces are applied to an angle bracket as shown in Fig. ·12(a)(ii). Determine the magnitude and direction of the resultant and the distance from '0' to the line of action of the resultant. (8) Fig. 12(b) 13. (a) Determine the polar moment of inertia about centroidal axis of the !-section shown in the Fig. 13(a). Also determine the radii of gyration with respect to x-x and y-y axis. (16). . . • y 150 . Fig. 13(a) Or 3 20631, BIBIN.C / ASSOCIATE PROFESSOR / MECHANICAL ENGINEERING / RMK COLLEGE OF ENGINEERING AND TECHNOLOGY 3
- 4. (b) · Find the centroid of the lamina shown in fig. 13(b). (16) All dimensions are incm. ty7·S • X . ~· Fig. 13(b) 14. (a) A stone is thrown vertically upwards with a velocity of 19.6 m/s:from the top of a tower 24.5 ~ high. Calculate, (i) .Time required for the stone to reach the ground (ii) Velocity of the stone in its downward travel at the point in ~he same level as the point of projection (iii) The maximum height to which the stone will ~se in flight. (16) Or (b) A 50~ block is released from rest oil an inclined plane making an angle of 35~ to the horizontal. The block starts from A slides down a d.lstance of 1.2 m and strikes a spring with a stiffness of 8 kN/m. The p between block and plane is 0.25. Determine (i) .The. amount the spring gets compressed and (ii) Distance the block will rebound up the pla~e from the.coinpressed position. (16) 15. ' {a) A ladder of weight 390 N ·and 6 m long.is placed against a wall at an angle of 30° with respect to will. The p between the ladder and the wall is 0.25 and that betwee:q ladder and floor is·0.38. Find how high a man of . Weight 1770 N ascend, before the ladder begins to slip. (16) '. Or (b) A block over·lY,ing a 10° wedge on a horizontal floor and leaning against a vert~cal wall and weighing 1500 N is to be raised by applying a horizontal force to ·the wedge: Assuming co-efficient of friction between< all the surfaces in contact to be 0.3, determine the· minimum horizontal force to be applied to raise the block. .. (16) ' •. 4 20631 .. !., .• BIBIN.C / ASSOCIATE PROFESSOR / MECHANICAL ENGINEERING / RMK COLLEGE OF ENGINEERING AND TECHNOLOGY 4