Base Knowledge
Vectorial calculus
Position velocity and aceleration
Kinematics of bodies without rotation and with constant acceleration
Forces and Newton’s laws
Conservation of mechanical energy
Rotation in terms of circular motion
Relative velocities
Teaching Methodologies
In the theory lessons the subject is explained from basic principles. In the theory-practical lessons problems of real world interest are solved. In the Laboratory lessons there is experimental work where the students can solve practical problems and there is the submission of a report until the end of the lesson. The laboratory lessons imply 4 practical works from which the best of three are selected.
Each practical will be marked 1 to 4 and a total score of under 2 will prevent the student from getting a pass on the subject. In case it is equal or superior to 2 in a minimum of 3 practicals approval is calculated in the following way
Practical component (laboratory) – 20%, exam 80%
Final grade = 0.8*Exam grade + Grade from the practical component
Exam graded to 20 practical component graded to 4
Learning Results
Concepts in Kinematics and Dynamics of the Rigid Body are presented and developed, illustrated with examples in the context of real life applications. The final objectives are; to be able to understand, apply and conceive gears and machines involving Rigid Body motion. Namely:
a) Knowledge of the laws of Physics that apply to the motion of rigid bodies.
b) Ability to understand gears and other machines involving rigid bodies.
c) Ability to apply the knowledge to real life problems.
Program
1. Kinematics of rigid bodies
Definition of rigid body and limits to the practical application of the concept
Angular velocity for a rigid body
Distribution of the velocity of the points in the rigid body
Distribution of the acceleration of the points in the rigid body
Translation motion
Rotation motion
General motion
Relative vectors: position, velocity and aceleration
Centre of rotation and and instantaneous centre of rotation
Analysis of mechanical gears with fixed, sliding and non-sliding joints
2. Dynamics of the rogid body
Centre of mass and centre of gravity for a rigid body
Momentum of a force
Translation motion
Moment of inertia
Rotation arround the centre of mass
Steiners Theorem.
Rotation of excentric gears
General motion
3. work and energy of the rigid body
Kinetic energy of the rigid body
Definition of work
Work of a force
Work of binary
Work of conservative forces: potential energy
Kinetic energy theorem
Applications with gears
Power associated with force, binary
Internship(s)
NAO