Lecturer(s)


Vimmr Jan, Doc. Ing. Ph.D.

Jonášová Alena, Ing. Ph.D.

Course content

1th week: Lecture  Why is the subject mechanics lectured for designers? The scope of mechanics and its division. Kinematics of a mass point, rectilinear motion. Practice  Recapitulation of principle ideas from linear algebra and vector calculus, matrix, determinant, scalar multiplication, vector multiplication. 2nd week: Lecture  Curvilinear mass point motion in plane. Kinematics of plane rigid body motion, translation. Practice  Examination of uniform rectilinear and uniformly accelerated rectilinear motion of mass point. 3rd week: Lecture  Rotation of a rigid body. General plane motion of a rigid body, basic decomposition (translation, rotation). Practice  Mass point motion on a circle. Examination of curvilinear mass point motion in plane. 4th week: Lecture  Principle theorems of statics  force and its determination, forces composition, force decomposition. Moment of a force to a point and an axis. Practice  Examination of translational and rotational rigid body motion. Examination of general plane rigid body motion considering the basic decomposition (translation, rotation). 5th week: Lecture  Varignon's theorem. Force couple. Principle theorems of statics. Practice  Forces composition and force decomposition  analytically, graphically. Moment of a force to a point determination. 6th week: Lecture  Theory of a force systems  conditions of replace, equilibrium and equivalence. The plane force system of the same point of action. General planar force system. Practice  Moment of a force to an axis determination, usage of Varignon's theorem 7th week: Lecture  System of parallel forces. Center of mass, Pappus's centroid theorem. Practice  Analytical and graphical solution of force systems in plane. 8th week: Lecture  Position and equilibrium of mass point in plane. Practice  Evaluation of center of mass, usage of Pappus's centroid theorem. 9th week: Lecture  Position and equilibrium of a rigid body in plane. Practice  Examination of mass point equilibrium in plane  the problem of a force, the problem of position. 10th week: Lecture  Composition of plane rigid body systems. Illustration of chosen mechanisms motion simulation. Kinematical solution of plane mechanisms. Practice  Examination of rigid body equilibrium in plane  analytical and graphical solution. 11th week: Lecture  Statical solution of stationary rigid bodies systems using the release method ? analytical and graphical solution. Practice  Examination of rigid body equilibrium in plane  completion. Illustration of some mechanisms models. Semestral work setting. 12th week: Lecture  Truss  method of joints. Application on examples. Practice  Statical solution of stationary rigid bodies systems  analytical and graphical solution. 13th week: Lecture  Statical solution of planar mechanisms  analytical and graphical solution. Practice  Statical solution of planar truss.

Learning activities and teaching methods

Lecture with practical applications, Practicum
 Contact hours
 52 hours per semester
 Undergraduate study programme term essay (2040)
 20 hours per semester
 Preparation for an examination (3060)
 55 hours per semester

prerequisite 

professional knowledge 

The student knows  principles of vector and matrix calculus,  principle methods of differential and integral calculus. 
learning outcomes 

The student  is familiar with the technical problems of a mass point, rigid body and rigid body systems plane mechanics,  defines the mass object degree of freedom in plane,  knows to solve kinematics of a basic mass point and rigid body motions,  chooses the corresponding number of balance conditions for the mass point and rigid body statical solution in plane,  is capable to determine the center of mass of the mass objects,  applies the basic analytical and graphical methods to the solution of mass point and rigid body mechanics,  knows to solve the statics of plane rigid body systems using analytical and graphical methods. 
teaching methods 

Practicum 
Lecture with practical applications 
assessment methods 

Combined exam 
Seminar work 
Recommended literature


Hlaváč, Zdeněk; Vimmr, Jan. Sbírka příkladů ze statiky a kinematiky. 1. vyd. V Plzni : Západočeská univerzita, 2007. ISBN 9788070436097.
