Statics and Dynamics

Force and force systems. Newton’s laws. Support reactions. Statics axioms. Projection of a force onto an axis and onto a plane. Geometrical and analytical addition of forces. Concurrent force system. Moment of a force about a point and about an axis. A couple. Reduction of a force system with respect to one point. Equilibrium of a force system. Conditions for the equilibrium. Sliding friction. Rolling resistance. Mass center. Function of motion, velocity and acceleration. Tangential and normal acceleration. Translation of rigid body. Rotation of rigid body. General plane motion. Relative motion. Compound motion. Dynamics of masspoint. Newton’s 2 law, equations of motion. Linear momentum, angular momentum. Impulse. Work of a force. Kinetic energy, potential energy, conservative forces, conservation of energy. Power and efficiency. Dynamics of rigid body. Rotation of rigid body about fixed axis, moments of inertia. Forces and accelerations of rigid body. Equations of motion of rigid body. Work and energy principle.

NB! This course will take place in spring semester 2024/2025 which starts on 3rd of February and ends on 16th of June (you can find that information under Start date section). The real course start and end dates will be announced at the beginning of February at the latest.

Having successfully passed the course, the student:

• have the general knowledge about the theoretical basics of the problems of Statics, Kinematics and Dynamics;
• is able to compile basic calculation schemes in order to solve the general problems of Statics, Kinematics and Dynamics of rigid bodies;
• is able to solve the basic equilibrium and motion equations analytically;
• is able to analyse the correspondence of the results obtained to reality;
• is able to apply modern computer software to solve simpler problems of statics, kinematics and dynamics;
• is able to interpret the results in terms of the original statement of the problem.

Final assessment can consist of one test/assignment or several smaller assignments completed during the whole course. After declaring a course the student can re-sit the exam/assessment once. Assessment can be graded or non-graded. For specific information about the assessment process please get in touch with the contact person of this course. For specific information about grade transfer please contact your home university

Basic knowledge in Physics

• Põhiõpik/Main textbook::
• 1. Hibbeler R.C., Engineering Mechanics: Statics & Dynamics (13th Edition), Prentice Hall, 2012.
• 2. Kenk K, Kirs J, Mehaanika alused. Staatika. Kinemaatika : õpik kõrgkoolidele, Tallinn : Tallinna Tehnikaülikooli Kirjastus, 2013
• 3. K. Kenk, J. Kirs. Mehaanika alused. Dünaamika. Analüütiline mehaanika. TTÜ Kirjastus 2013.
• 4. Loenguslaidid / Lecture slides

lectures, exercises