Details - ECTS Course Catalogue

Modes of delivery

Assessments

Learning outcomes

The student:

using a methodical approach¸ determines the acceleration, velocity and distance travelled for the motion of a point mass and/or a rigid body in the plane. This should make use of available kinematic equations. The main emphasis here is on a methodical approach. The result is a clearly documented calculation
relates the acceleration of a point mass and/or a rigid body in the plane to the forces and torques. This should make use of the available equations of motion to ultimately calculate the unknown forces/torques and/or accelerations. The emphasis here is on a methodical approach. The result is a clearly documented calculation based on a VLS and KS
applies the principle of ‘work and energy’ and the ‘law of conservation of mechanical energy’ to issues involving the search for a relationship between external forces, velocities and distance travelled. The unknown data must be calculated. The main emphasis here is on a methodical approach. The result is a clearly documented calculation based on a VLS of a point mass moving in the flat plane that
determines the required mechanical power and efficiency for the movement of a point mass and/or rigid body in the plane. The main emphasis here is on a methodical approach. The result is a clearly documented calculation.
determines the derivative of various functions, graphs it and applies it in determining extremes.
determines the primitive of various functions, applies it in calculating areas and contents of revolutionary bodies.

Apply kinematic equations that describe the motion of a point mass or a rigid body in the plane;
Determine the relationship between distance traveled, velocity and acceleration by means of differentiation and integration;
Draw up a Free Body Diagram (FBD) and a Kinetic Diagram (KD);
Draw up the laws of motion to determine the relationship between forces/moments and (angular) acceleration;
Determine the work done by a force;
Apply the Principle of Work and Energy;
Determine the kinetic energy of a point mass or a rigid body;
Determine the potential energy of a point mass or a rigid body;
Apply the law of conservation of energy;
Calculate the mechanical power required for the motion of a particle or rigid body;
Determining the derivatives of a number of standard functions.
Applying the sum rule, the product rule, the quotient rule, and the chain rule when differentiating other functions.
Determining stationary points and inflection points of functions and using a sign diagram to ascertain the nature of a stationary point, i.e., whether it is a maximum, a minimum, or an inflection point.
Determining indefinite integrals.
Calculating definite integrals.
Computing areas and volumes of solids of revolution using integrals.