Practice - Worked Examples with Engineering Applications
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is the general equation for a beam under uniform load?
💡 Hint: Think about the governing differential equation for beams.
Define a Particular Integral.
💡 Hint: It contributes to the total solution.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the role of the Particular Integral in a non-homogeneous equation?
💡 Hint: Think about how discrimination differs from natural responses.
True or False: A homogeneous differential equation can have external forcing functions.
💡 Hint: Consider the definition of homogeneous terms.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a beam with length L subjected to a uniform load q, derive an expression for the maximum deflection. Assume fixed boundary conditions at both ends.
💡 Hint: Pay close attention to boundary conditions for fixed supports.
For a damped vibrating system represented by m d²y/dt² + c dy/dt + ky = F cos(ωt), solve for the steady-state response when ω = ω0.
💡 Hint: Understand resonance behavior clearly to derive correct PID function.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.