Exam Details
| Subject | Engineering Mechanics | |
| Paper | ||
| Exam / Course | Bachelor of Technology in Mechanical Engineering (Computer Integrated Manufacturing) BTME | |
| Department | School of Engineering & Technology (SOET) | |
| Organization | indira gandhi national open university | |
| Position | ||
| Exam Date | December, 2016 | |
| City, State | new delhi, |
Question Paper
No. of Printed Pages: 10 IBME-016I
B.Tech. MECHANICAL ENGINEERING (COMPUTER INTEGRATED MANUFACTURING) I B.Tech. AEROSPACE ENGINEERING (BTAE)
Term-End Examination
December, 2016
Oi092
BME-016 ENGINEERING MECHANICS
Time 3 hours Maximum Marks: 70
Note: Answer any five questions. Use of scientific calculator is aUowed. Assume suitable data, if missing.
1. Explain the Lami's theorem. 6
A wire rope is fixed at two points A and D as shown in Figure . Two weights, 20 kN and 30 kN, are attached to it at B and respectively. The weights rest with portions AB and BC inclined at angles 30° and 50° respectively, to the vertical as shown in the figure. Find the tension in the wire in segments AB, BC and CD and also the inclination 9f the segment CD to the vertical. <img src='./qimages/8965-1b.jpg'>
2. A block weighing 800 N is raised up with the help of two 6° wedges B and C of negligible weights as shown in Figure . If the coefficient of static friction is 0.25 for all surfaces of contact, determine the smallest force to be applied to raise the block A <img src='./qimages/8965-2a.jpg'>
Explain the laws of friction. 6
3. Explain the theorems of Pappu's 1 and 2. 6
Determine the centroid of the area shown in Figure with respect to the axes as shown. 8 <img src='./qimages/8965-3b.jpg'>
4. Determine the centre of gravity of a right circular cone of height and base radius 7
Determine the moment of inertia of the L-section shown in Figure, about its centroidal axes parallel to the legs. Also find out the polar moment of inertia. 7 <img src='./qimages/8965-4b.jpg'>
5. Find the least initial velocity with which a projectile is to be projected so that it clears a wall 4 m high located at a distance of 5 and strikes :the ground at a distance 4 m beyond the wall as shown in Figure 5. The point of projection is at the same level as the foot of the wall. <img src='./qimages/8965-5a.jpg'>
A small steel ball is shot vertically upwards from the top of a building 25 m above the ground with an initial velocity of 18 m/sec.
In what time, will it reach the maximum height?
(ii) How high above the building will the ball rise?
(iii) Compute the velocity with which it will strike the ground and the total time it remains in motion.
6. A homogeneous sphere having a mass of 100 kg is attached to a slender rod having a mass of 20 kg. In the horizontal position, shown in Figure, the angular speed of the system is 8 rad/sec. Determine the
magnitude of the angular acceleration of the system and the reaction at on the rod. 8 <img src='./qimages/8965-6a.jpg'>
Explain D'Alembert's principle. 6
7. A flywheel of mass 15 kg and radius 20 cm is wound by a rope which carries a weight of mass 5 kg at its free end as shown in Figure. Determine the angular acceleration of the motion, assuming
gravitational acceleration 10 m/sec^2 for the purpose of simplified calculations, and considering the following two cases If friction at the bearing of flywheel-shaft is zero.
(ii) If frictional couple developed at the bearing of shaft is 2 N-m. <img src='./qimages/8965-7a.jpg'>
Determine the constant force that will give the system of bodies shown in Figure a velocity of 3m/sec after moving 4.5 m from rest. Coefficient of friction between the blocks and plane is 0.3. Pulleys are smooth. <img src='./qimages/8965-7b.jpg'>
8. The ladder shown in Figure, is 6 m long and is supported by a horizontal floor and a vertical wall. The coefficient of friction between the floor and the ladder is 0.4 and between the wall and the ladder is 0.25. The weight of the ladder is 200 N. The ladder also supports a vertical load of 900N at C which is at a distance of 1m from B. Determine the least value of a for which the ladder may be placed without slipping. Determine the reaction at this stage. <img src='./qimages/8965-8a.jpg'>
Explain work-energy principle.
9. Explain the procedure of method of joints. 7
Determine the forces in all the members of the truss shown in Figure 10 and indicate the magnitude and nature of forces on the diagram of the truss. All inclined members are at 60° to horizontal and the length of each member is 2m. 7 <img src='./qimages/8965-9b.jpg'>
B.Tech. MECHANICAL ENGINEERING (COMPUTER INTEGRATED MANUFACTURING) I B.Tech. AEROSPACE ENGINEERING (BTAE)
Term-End Examination
December, 2016
Oi092
BME-016 ENGINEERING MECHANICS
Time 3 hours Maximum Marks: 70
Note: Answer any five questions. Use of scientific calculator is aUowed. Assume suitable data, if missing.
1. Explain the Lami's theorem. 6
A wire rope is fixed at two points A and D as shown in Figure . Two weights, 20 kN and 30 kN, are attached to it at B and respectively. The weights rest with portions AB and BC inclined at angles 30° and 50° respectively, to the vertical as shown in the figure. Find the tension in the wire in segments AB, BC and CD and also the inclination 9f the segment CD to the vertical. <img src='./qimages/8965-1b.jpg'>
2. A block weighing 800 N is raised up with the help of two 6° wedges B and C of negligible weights as shown in Figure . If the coefficient of static friction is 0.25 for all surfaces of contact, determine the smallest force to be applied to raise the block A <img src='./qimages/8965-2a.jpg'>
Explain the laws of friction. 6
3. Explain the theorems of Pappu's 1 and 2. 6
Determine the centroid of the area shown in Figure with respect to the axes as shown. 8 <img src='./qimages/8965-3b.jpg'>
4. Determine the centre of gravity of a right circular cone of height and base radius 7
Determine the moment of inertia of the L-section shown in Figure, about its centroidal axes parallel to the legs. Also find out the polar moment of inertia. 7 <img src='./qimages/8965-4b.jpg'>
5. Find the least initial velocity with which a projectile is to be projected so that it clears a wall 4 m high located at a distance of 5 and strikes :the ground at a distance 4 m beyond the wall as shown in Figure 5. The point of projection is at the same level as the foot of the wall. <img src='./qimages/8965-5a.jpg'>
A small steel ball is shot vertically upwards from the top of a building 25 m above the ground with an initial velocity of 18 m/sec.
In what time, will it reach the maximum height?
(ii) How high above the building will the ball rise?
(iii) Compute the velocity with which it will strike the ground and the total time it remains in motion.
6. A homogeneous sphere having a mass of 100 kg is attached to a slender rod having a mass of 20 kg. In the horizontal position, shown in Figure, the angular speed of the system is 8 rad/sec. Determine the
magnitude of the angular acceleration of the system and the reaction at on the rod. 8 <img src='./qimages/8965-6a.jpg'>
Explain D'Alembert's principle. 6
7. A flywheel of mass 15 kg and radius 20 cm is wound by a rope which carries a weight of mass 5 kg at its free end as shown in Figure. Determine the angular acceleration of the motion, assuming
gravitational acceleration 10 m/sec^2 for the purpose of simplified calculations, and considering the following two cases If friction at the bearing of flywheel-shaft is zero.
(ii) If frictional couple developed at the bearing of shaft is 2 N-m. <img src='./qimages/8965-7a.jpg'>
Determine the constant force that will give the system of bodies shown in Figure a velocity of 3m/sec after moving 4.5 m from rest. Coefficient of friction between the blocks and plane is 0.3. Pulleys are smooth. <img src='./qimages/8965-7b.jpg'>
8. The ladder shown in Figure, is 6 m long and is supported by a horizontal floor and a vertical wall. The coefficient of friction between the floor and the ladder is 0.4 and between the wall and the ladder is 0.25. The weight of the ladder is 200 N. The ladder also supports a vertical load of 900N at C which is at a distance of 1m from B. Determine the least value of a for which the ladder may be placed without slipping. Determine the reaction at this stage. <img src='./qimages/8965-8a.jpg'>
Explain work-energy principle.
9. Explain the procedure of method of joints. 7
Determine the forces in all the members of the truss shown in Figure 10 and indicate the magnitude and nature of forces on the diagram of the truss. All inclined members are at 60° to horizontal and the length of each member is 2m. 7 <img src='./qimages/8965-9b.jpg'>
Other Question Papers
Departments
- Centre for Corporate Education, Training & Consultancy (CCETC)
- Centre for Corporate Education, Training & Consultancy (CCETC)
- National Centre for Disability Studies (NCDS)
- School of Agriculture (SOA)
- School of Computer and Information Sciences (SOCIS)
- School of Continuing Education (SOCE)
- School of Education (SOE)
- School of Engineering & Technology (SOET)
- School of Extension and Development Studies (SOEDS)
- School of Foreign Languages (SOFL)
- School of Gender Development Studies(SOGDS)
- School of Health Science (SOHS)
- School of Humanities (SOH)
- School of Interdisciplinary and Trans-Disciplinary Studies (SOITDS)
- School of Journalism and New Media Studies (SOJNMS)
- School of Law (SOL)
- School of Management Studies (SOMS)
- School of Performing Arts and Visual Arts (SOPVA)
- School of Performing Arts and Visual Arts(SOPVA)
- School of Sciences (SOS)
- School of Social Sciences (SOSS)
- School of Social Work (SOSW)
- School of Tourism & Hospitality Service Sectoral SOMS (SOTHSM)
- School of Tourism &Hospitality Service Sectoral SOMS (SOTHSSM)
- School of Translation Studies and Training (SOTST)
- School of Vocational Education and Training (SOVET)
- Staff Training & Research in Distance Education (STRIDE)
Subjects
- Advanced Manufacturing Technology
- CNC Technology
- Computer Aided Design
- Computer Integrated Manufacturing
- Computer Programmingand Application
- ComputerAided Process Planning
- Condition Monitoringand Maintenance Engineering
- Energy Conversion
- Engineering Materials
- Engineering Mathematics Il
- Engineering Mathematics-I
- Engineering Mechanics
- Engineering Thermodynamics
- Fluid Mechanics
- Heat And Mass Transfer
- Industrial Engineering & Operations Research
- Kinematics & Dynamics of Mechanisms
- Machining Technology
- Manufacturing Systems, Integration and Control
- Manufacturing Technology
- Mechanical Engineering Design
- Mechatronics
- Metrology and Instrumentation
- Principles of Electrical and Electronic Sciences
- Production Management
- Quality Engineering
- Robotics
- Safety Engineering
- Soft Computing in CIM
- Strength of Materials
- Tool Engineering and Management