### Module Details

 The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module.
 Title NEWTONIAN MECHANICS Code MATH122 Coordinator Dr TM Mohaupt Mathematical Sciences Thomas.Mohaupt@liverpool.ac.uk Year CATS Level Semester CATS Value Session 2021-22 Level 4 FHEQ Second Semester 15

### Aims

To provide a basic understanding of the principles of Classical Mechanics and their application to simple dynamical systems.  Learning Outcomes: After completing the module students should be able to analyse real world problems involving: - the motions of bodies under simple force systems - conservation laws for momentum and energy - rigid body dynamics using centre of mass, angular momentum and moments of inertia

### Learning Outcomes

(LO1) the motions of bodies under simple force systems

(LO2) conservation laws for momentum and energy

(LO3) rigid body dynamics using centre of mass, angular momentum and moments

(LO4) oscillation, vibration, resonance

(S1) Representing physical problems in a mathematical way

(S2) Problem Solving Skills

### Syllabus

Syllabus: Velocity and acceleration Newton's Laws Projectiles Conservation of Momentum Ordinary Differential Equations (ODEs); specifically separable 1st order ODEs and 2nd order linear ODEs with constant coefficients. Forces Potential Energy Collisions, elastic and inelastic. Central and Conservative forces Angular Momentum Circular Orbits Moments of Inertia Rotation of Rigid bodies

### Assessment

EXAM Duration Timing
(Semester)
% of
final
mark
Resit/resubmission
opportunity
Penalty for late
submission
Notes
Final Assessment, open book and remote There is a resit opportunity. Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule (When) :Second seme  1 hour time on task    50
CONTINUOUS Duration Timing
(Semester)
% of
final
mark
Resit/resubmission
opportunity
Penalty for late
submission
Notes
Homework 5 Standard UoL penalty applies for late submission. This is not an anonymous assessment. Assessment Schedule (When) :Second semester  equivalent to 2-5 si    10
Homework 4 Standard UoL penalty applies for late submission. This is not an anonymous assessment. Assessment Schedule (When) :Second semester  equivalent to 2-5 si    10
Homework 3 Standard UoL penalty applies for late submission. This is not an anonymous assessment. Assessment Schedule (When) :Second semester  equivalent to 2-5 si    10
Homework 2 Standard UoL penalty applies for late submission. This is not an anonymous assessment. Assessment Schedule (When) :Second semester  equivalent to 2-5 si    10
Homework 1 Standard UoL penalty applies for late submission. This is not an anonymous assessment. Assessment Schedule (When) :Second semester  equivalent to 2-5 si    10