ENGINEERING TRIPOS PART IA - 2012/2013
PAPER 1 - MECHANICAL ENGINEERING
Mechanics
Leader: Dr H.E.M.Hunt
Timing: Weeks 1-8, Michaelmas term
Structure: 16 lectures, 2 lectures/week
AIMS
The aims of the course are to:
- Convey the fundamental role
of mechanics in engineering.
- Introduce the concepts of
kinematics to describe the motion of particles and bodies in two
dimensions.
- Introduce the concepts of
dynamics and apply these to particles and to planar rigid bodies.
- Illustrate the way
mechanical designers use the concepts of mechanics to design mechanisms
and machines to meet specific requirements.
- Develop skills in modelling
and analysing mechanical systems.
OBJECTIVES
Kinematics
At the end of the course students should be able to:
- Apply concepts of
kinematics to particles and rigid bodies in two dimensions.
- Specify the position,
velocity and acceleration of a particle in 2-D motion in Cartesian, polar
and intrinsic coordinates using graphical, algebraic and vector methods.
- Differentiate a rotating
vector.
- Apply concepts of relative
velocity, angular velocity and instantaneous centre of rigid bodies.
- Appreciate the function,
design and schematic representation of simple 2-D machines, mechanisms and
components, including rods, pins, and sliders
- Apply principles of work
and power to analyse plane mechanisms and linkages.
Particle Dynamics
At the end of the course students should be able to:
- Understand and apply
Newton's laws and the equations of energy and momentum of particles.
- Apply the concept of moment
of momentum of a particle, and recognise when it is conserved.
- Apply the principles of
particle dynamics to satellite motion.
- Understand and apply
Newton's laws to rotational motion of planar rigid bodies.
- Apply Newton's laws to
variable mass problems.
SYLLABUS (Book References)
1. Introduction
- Newton's laws of motion (1)
1/1-1/7
- Units
- Frames of reference
- Gravitation
2. Kinematics of Particles
- Coordinate systems (1)
2/1-2/7
- Fixed cartesian axes (2)
12/1-12/7
- Polar coordinates (3)
5/1-5/3
- Differentiation of a unit
vector (4) 4/1-4/2
- Intrinsic coordinates
3. Kinematics of Rigid Bodies
3.1: General motion of a rigid body (1)
5/1-5/5
- Relative motion(2) 16/1-16/6
- Two points within a
rigid body
- Angular velocity as a
vector
3.2: Planar motion
- Velocity diagrams
- Velocity image and
instantaneous centres
- Plane mechanisms
- Kinematic pairs and
chains
- Solution by velocity
diagrams
- Solution by vector
methods
4. Work and Power in Mechanisms
- The Principle of work (4)
3/1-3/2
- Application to mechanisms
and machines
5. Dynamics
- Integrated forms of
Newton's laws (1) 3/1-3/9
- Linear momentum (2)
13/1-13/7
- Energy equation (2)14/1-14/6
- Potential Energy (3)
6/1-6/8
- Moment of momentum (1)
3/10
- Satellite motion in steady
circular and elliptical orbits (1) 3/13
- Moment of inertia of a
planar rigid body
- Torque required for angular
acceleration about a fixed point
- Variable mass problems
(1) 4/7
REFERENCES
(1) HIBBELER, R.C. ENGINEERING MECHANICS (SI UNITS) DYNAMICS STATICS
(2) MERIAM, J.L. & KRAIGE, L.G. ENGINEERING MECHANICS. VOL.1: STATICS
(3) MERIAM, J.L. & KRAIGE, L.G. ENGINEERING MECHANICS. VOL.2: DYNAMICS
(4) PRENTIS, J.M. DYNAMICS OF MECHANICAL SYSTEMS
(5) PRENTIS, J.M. ENGINEERING MECHANICS
Please see the Booklist for Part IA Courses for references to this module.
Last updated: May 2012
teaching-office@eng.cam.ac.uk
