بسم هللا الرحمن الرحيم STATICS (ENGINEERING MECHANICS-I) About the Instructor Name: Dr. Kamran Zeb (PhD, South Korea) Power and Control, Renewable Energies, Electric Drives Journals Papers: 28, Conference Papers:30 Website:https://scholar.google.com.pk/citations?user=5n37lDcAAAAJ&hl=en. Designation: Assistant Professor Department: SEECS Office: A118 Email: kamran.zeb@seecs.edu.pk Office Hours: Displayed on the office wall. April 28, 2024 ME 100: Dr. Kamran Zeb 1 Engineering Mechanics A branch of the physical sciences that is concerned with the state of rest or motion of bodies that are subjected to the action of forces OR A branch of science concerned with the action of forces on material bodies in rest or in motion Statics Mechanics Rigid-Body Mechanics -Equilibrium of bodies Deformable-Body Mechanics Dynamics - Accelerated motion Fluid Mechanics April 28, 2024 ME 100: Dr. Kamran Zeb 2 Deformable-Body Mechanics In mechanics, any body that changes its shape and/or volume while being acted upon by any kind of external force. These internal force produce "stresses" in the body, which could ultimately result in the failure of the material itself. Mechanics of Fluids: The mechanics of fluids is the branch of mechanics that deals with liquids or gases. Fluids are commonly used in engineering applications. They can be classified as incompressible, or compressible. Compressible flow (air) Incompressible flow (water) Lecture 2: Addition of Coplanar forces When a force is resolved into two components along the x and y axes, the components are then called rectangular components. For analytical work we can represent these components in one of two ways, using either scalar notation or Cartesian vector notation. The direction of F can also be defined using a small “slope” triangle Each of these unit vectors has a dimensionless magnitude of one, and so they can be used to designate the directions of the x and y axes, respectively Coplanar force system refers to the number of forces which remain in same plane. It is also stated as the number of forces in a system which remains in single plane. Resultant Force: Magnitude & Orientation Learning Exercise 1 Determine the x and y components of F1 and F2 acting on the link shown in the following figure. Express each force as a Cartesian vector. Learning Exercise 2 The link in the following figure is subjected to two forces F1 and F2. Determine the magnitude and angle of the resultant force. NOTE: Comparing the two methods of solution, notice that the use of scalar notation is more efficient since the components can be found directly, without first having to express each force as a Cartesian vector before adding the components. Later, however, we will show that Cartesian vector analysis is very beneficial for solving three-dimensional problems. Learning Exercise 3 The end of the link O in the following figure is subjected to three concurrent and coplanar forces. Determine the magnitude and direction of the resultant force.