THEORETICAL MECHANICS I

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Learning Outcomes

compare the scalar and vectorial magnitudes and explain the operations made by these.
distinguish the scalar and vectorial magnitudes.
do the vector addition and the vector substraction operations.
express the difference between the scalar and vector product.
apply the scalar and vector products to the various physical system.
recognize various coordinate systems, compare these systems each other, take derivation and integration of scalar and vectorial functions.
recognize the cartesian, polar, cylindrical and spherical coordinate systems.
transform the coordinates of a particle in any coordinate system to the coordinates in the other system.
derive and integrate scalar and vectorial functions and express the differential and vector operators.
explain how to take the line integral, the surface integral and the volume integral.
calculate the line, surface and volume integrals in all coordinates systems.
do the investigation of motion as kinematics.
explain the concepts of displacement, velocity and acceleration.
express the velocity and acceleration in the cartesian, polar, cylindrical and spherical coordinate systems.
express the Serret-Frenet formula.
explain the relative motion.
investigate dynamical motion.
express the Newton's laws.
explain the inertial and non inertial reference systems.
explain the pseudo forces and investigate motions in the non inertial systems.
explain various motions using Newton's laws.
express the concept of work, power, energy, impuls, momentum and to explain the conservations of energy and momentum.
define the work and calculate the work done by a force.
investigate kinetic ve potential energies.
show the relation between work done and kinetic energy.
express that what the conservative force field is and explain that the sum of kinetic and pential energy is fixed (conservation of energy).
investigate the conceps of impulse and momentum and exhibit the relation between impuls and momentum.
express that the momentum of a body is fixed in the absence of force (conservation of momentum).
investigate the motions in the uniform and central force fields after learning the force fields.
define the uniform force fields and investigates the motion on the earth.
investigate the motion in the resisting medium.
define the central force fiels and investigate the motion in such filed.
Investigate the motion in the gravitational field which is a central force field as a special case.
express the Gauss' law for the gravitational field and calculate the gravitational fields araund different bodies.
show that energy and angular momentum are conserved for moving bodies in the gravitational field.
explain the motion of the planets.
investigate moving coordinate systems.
Investigate the motion of a body with respect to an observer on the translating coordinate system.
investigate the motion of a body with respect to an observer on the rotating coordinate system.
investigate the motion of a body with respect to an observer on the both translating and rotating coordinate system.
explain the linear, centrepetal and coriolis accelerations.
explain the motion on the earth as truly as possible.