°µÍø51

Upon successful completion of the course, students will be able to:

• express physical quantities, such as force, position and moment, in vector form;
• manipulate vectors in two and three dimensions;
• analyze two- and three-dimensional concurrent force systems acting upon particles in equilibrium;
• solve particle equilibrium and rigid-body equilibrium problems using the equations of equilibrium;
• calculate the moment of a force in two and three dimensions;
• calculate the moment of a force about an axis;
• find a force and moment which is equivalent to a system of forces and moments;
• analyze the equilibrium of rigid bodies in two and three dimensions and determine equivalent systems of forces;
• determine the forces acting on the members of trusses, frames and machines;
• determine the internal loadings in a member;
• reduce a simple distributed loading to a resultant force;
• analyze structures and their internal forces;
• formulate equations which describe the internal stress and moment throughout a member;
• draw internal shear and moment diagrams;
• apply the concepts of friction to solve practical problems, including applications related to wedges and screws;
• solve kinematics problems for particles in either rectilinear motion or curvilinear motion, using calculus when applicable;
• analyze the kinematics of the curvilinear motion of a particle in terms of Cartesian vector components, tangential and normal vector components, polar vector components or cylindrical vector components;
• use Newton’s second law to derive the equation of motion for a single particle and for a system of particles;
• solve particle dynamics problems using the equation of motion given in Cartesian coordinates, tangential and normal coordinates, polar coordinates or cylindrical coordinates;
• calculate the work done and power expended by a force acting on a moving body;
• apply the law of conservation of energy and/or the work-energy theorem to solve problems that involve forces acting on objects;
• apply the law of conservation of momentum to solve problems that involve collisions or explosions in 1D and 2D.