Mechanics I.

Lecturer:

Michael Valášek (gar.), Zbyněk Šika (gar.), Václav Bauma, Petr Beneš, Martin Florián, Martin Nečas, Zdeněk Neusser, Jan Pelikán, Pavel Steinbauer, Tomáš Vampola, Jaromír Zaszkolný, Jan Zavřel, Vít Zelený

Tutor:

Michael Valášek (gar.), Zbyněk Šika (gar.), Václav Bauma, Petr Beneš, Martin Florián, Martin Nečas, Zdeněk Neusser, Jan Pelikán, Pavel Steinbauer, Tomáš Vampola, Jaromír Zaszkolný, Jan Zavřel, Vít Zelený

Supervisor:

Department of Mechanics, Biomechanics and Mechatronics

Synopsis:

Mechanics I deals with the basic concepts of statics and kinematics. There are described the methods of solution of equilibrium of particles and rigid bodies and their systems with and without friction. There are introduced the methods of description of position and motion of particles and rigid bodies.

Requirements:

Syllabus of lectures:

1. Introduction. Modelling. Force. Constraints of particle. Free-body diagram. Equilibrium of particle.

2. Moment of the force. Couple of forces. Constraints of rigid body in plane.

3. Constraints of rigid body in space. Free-body diagram. Equivalent system of forces. Equilibrium of rigid body.

4. Statically determinate and indeterminate cases. Structural theory of system of bodies.

5. Analytical solution of statical equilibrium of system of bodies.

6. Centre of mass. Internal forces.

7. Mechanical work. Trusses.

8. Friction. Self-locking cases.

9. Constraints with friction. Statical solution of systems of bodies with friction.

10. Kinematics of particles.

11. Description of a particle position in vector and matrix formulation.

12. Description of a particle motion in vector and matrix formulation.

13. Kinematics of simultaneous motions. Matrix formulation.

14. Concluding examples.

Syllabus of tutorials:

Study Objective:

1. Introduction. Modelling. Force. Constraints of particle. Free-body diagram. Equilibrium of particle., 2. Moment of the force. Couple of forces. Constraints of rigid body in plane., 3. Constraints of rigid body in space. Free-body diagram. Equivalent system of forces. Equilibrium of rigid body., 4. Statically determinate and indeterminate cases. Structural theory of system of bodies., 5. Analytical solution of statical equilibrium of system of bodies., 6. Centre of mass. Internal forces., 7. Mechanical work. Trusses., 8. Friction. Self-locking cases., 9. Constraints with friction. Statical solution of systems of bodies with friction., 10. Kinematics of particles., 11. Description of a particle position in vector and matrix formulation., 12. Description of a particle motion in vector and matrix formulation., 13. Kinematics of simultaneous motions. Matrix formulation., 14. Concluding examples.

Study materials:

1. Beer, F.P., Johnston, E.R.: Vector mechanics for engineers, McGraw-Hill Boston, 1998, 2. http://mech.fsik.cvut.cz

Note:

Time-table for winter semester 2011/2012:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue	roomT4:C2-436 Bauma V. 09:00–10:30 (lecture parallel2 parallel nr.204) Dejvice Poslucharna 436roomT4:C2-436 Bauma V. 10:45–12:15 (lecture parallel2 parallel nr.206) Dejvice Poslucharna 436roomT4:C2-436 Pelikán J. 12:30–14:00 (lecture parallel1 parallel nr.105) Dejvice Poslucharna 436roomT4:C2-334 Bauma V. 14:15–15:45 (lecture parallel1) Dejvice Poslucharna 334roomT4:C2-436 Pelikán J. 16:00–17:30 (lecture parallel2 parallel nr.208) Dejvice Poslucharna 436 roomT4:A1-405b Bauma V. 09:00–10:30 (lecture parallel2 parallel nr.205) Dejvice Poc.ucebna 405broomT4:A1-405b Bauma V. 10:45–12:15 (lecture parallel2 parallel nr.207) Dejvice Poc.ucebna 405broomT4:A1-405b Pelikán J. 12:30–14:00 (lecture parallel1 parallel nr.106) Dejvice Poc.ucebna 405broomT4:D1-366 Valášek M. 14:15–15:45 (lecture parallel2) Dejvice Poslucharna 366roomT4:A1-405b Pelikán J. 16:00–17:30 (lecture parallel2 parallel nr.209) Dejvice Poc.ucebna 405b
Fri	roomT4:C2-436 Zelený V. 16:00–17:30 (lecture parallel2 parallel nr.202) Dejvice Poslucharna 436 roomT4:A1-405b Zelený V. 16:00–17:30 (lecture parallel2 parallel nr.203) Dejvice Poc.ucebna 405b
Thu
Fri	roomT4:C2-436 Pelikán J. 09:00–10:30 (lecture parallel1 parallel nr.101) Dejvice Poslucharna 436roomT4:C2-436 Pelikán J. 10:45–12:15 (lecture parallel1 parallel nr.103) Dejvice Poslucharna 436 roomT4:A1-405b Pelikán J. 09:00–10:30 (lecture parallel1 parallel nr.102) Dejvice Poc.ucebna 405broomT4:A1-405b Pelikán J. 10:45–12:15 (lecture parallel1 parallel nr.104) Dejvice Poc.ucebna 405b

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans: