Principles of statics: Introduction to vector approach – free body diagrams- forces in a plane – forces in space – concurrent forces – resolution of forces – equilibrium of particles
Statics of rigid bodies in two and three dimensions: Moment of force about a point – moment of force about an axis – moment of a couple – equivalent force couple system – rigid body equilibrium – support reactions.
Application of statics: Friction – ladder friction – wedge friction – analysis of trusses – method of joints and method of sections.
Centroid and center of gravity: centroid of lines, areas and volumes – composite bodies. Second moment of area – polar moment of inertia – mass moment of inertia – radius of gyration.
Method of virtual work for static equilibrium problems.
Dynamics of particles: kinematics of particles – rectilinear motion – relative motion – relative motion – position, velocity and acceleration calculation in cylindrical coordinates.
Dynamics of rigid bodies: General plane motion – translation and rotation of rigid bodies – Chasle’s theorem – velocity and acceleration calculation in moving frames – Corioil’s acceleration.
Objectives and Outcomes
This course is expected to enable the student to:
- Understand the force systems and draw free body diagram to analyze rigid body equilibrium
- Comprehend the principles of Coloum b friction and solve engineering mechanics problems associated with frictional force
- Compute the centroid, first moment and second moment of an area
- Understand the concept of motion of particles and rigid bodies.
At the end of the course, the student will be able to
||Determine rectangular components of a force
||Obtain the equivalent force – couple system of a given system
||Analyze the equilibrium state of a particle and rigid body
||Estimate the moment of inertia of composite area about centroidal or any arbitrary axis
||Determine the velocity and acceleration of a particle in rectangular and cylindrical coordinate systems and an g u l a r velocity of rigid bodies in general plane motion.