4 - Loop Closure Equations
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 does the loop closure equation \( \sum r_i = 0 \) represent?
💡 Hint: Think about the relationships between links in a mechanism.
Define the term 'velocity' in the context of kinematics.
💡 Hint: It has both magnitude and direction.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary purpose of loop closure equations?
💡 Hint: Think about their application in mechanical designs.
True or False: The loop closure equation for velocity is \( \sum \dot{r}_i = 0 \).
💡 Hint: Recall what happens when positions are differentiated.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Consider a four-bar linkage where the lengths are given as L1 = 5m, L2 = 7m, and L3 = 9m. Determine if the mechanism can be closed and derive the loop closure equation.
💡 Hint: Look into the geometric constraints between the lengths.
A slider-crank mechanism is working during a cycle. If the angular position of the crank is given, derive the position vectors for all components and apply the loop closure equation to find the slider’s position.
💡 Hint: Use trigonometric relationships to find positions based on the crank angle.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.