MECHANICS

MAT2MEC

2020

Credit points: 15

Subject outline

In this subject students deal with the kinematics and dynamics of a particle and systems of particles, and some of the types of differential equations which arise in the mathematical descriptions of the motions studied. The main mechanical topics emphasize the study of particle dynamics and conservation laws, rigid rotating bodies and the two body problem with central forces, based on Newton's second law of motion. The new solutions of differential equations considered are solutions of second order differential equations with non-constant coefficients, with expansions about ordinary points and regular singular points. The subject covers applications of forces, momentum and kinetic and potential energy, for particles and rigid bodies, with a focus on orbits of planets. The subject also covers the solution of wave equations in two and three dimensions. The main tools used are derived from concepts in MAT2VCA.

School: Engineering and Mathematical Sciences (Pre 2022)

Credit points: 15

Subject Co-ordinator: Chris Taylor

Available to Study Abroad/Exchange Students: Yes

Subject year level: Year Level 2 - UG

Exchange Students: No

Available as Elective: No

Learning Activities: N/A

Capstone subject: No

Subject particulars

Subject rules

Prerequisites: MAT2VCA

Co-requisites: N/A

Incompatible subjects: N/A

Equivalent subjects: N/A

Quota Management Strategy: N/A

Quota-conditions or rules: N/A

Special conditions: N/A

Minimum credit point requirement: N/A

Assumed knowledge: N/A

Career Ready

Career-focused: No

Work-based learning: No

Self sourced or Uni sourced: N/A

Entire subject or partial subject: N/A

Total hours/days required: N/A

Location of WBL activity (region): N/A

WBL addtional requirements: N/A

Graduate capabilities & intended learning outcomes

Graduate Capabilities

Intended Learning Outcomes

01. Build simple mathematical models of mechanical systems, using Newton's second law and the ideas of conservation of momentum, angular momentum and energy.

02. Solve the linear differential equations that arise in mechanical modelling.

03. Solve simple problems in the theory of planetary orbits.

04. Solve partial differential equations in appropriate coordinates using the technique of separation of variables and the theory of series solutions for differential equations, and apply these solutions to the mechanics of continuous media.

05. Communicate your understanding of mechanics using both words and precise mathematical symbolism.

06. Explain mathematical arguments verbally to other students.

Melbourne (Bundoora), 2020, Semester 2, Day

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Enrolment information: N/A

Subject Instance Co-ordinator: Chris Taylor

Class requirements

LectureWeek: 31 - 43
Two 1.00 hour lecture per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.

PracticalWeek: 31 - 43
Two 1.00 hour practical per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.

Assessments

Assessment element	Comments	Category	Contribution	Hurdle	%	ILO*
Active participation in blackboard practice classes (500 words equivalent)	N/A	N/A	N/A	No	5	SILO5, SILO6
Fortnightly assignments (equiv 1000 words)	N/A	N/A	N/A	No	25	SILO1, SILO2, SILO3, SILO4, SILO5
One 3-hour examination	N/A	N/A	N/A	No	70	SILO1, SILO2, SILO3, SILO4, SILO5