Lecture_02 - Kinematic analysis of slider crank

Lecture_02 - Kinematic analysis of slider crank

19_slider-crank.png

In this lecture, you write out the kinematic constraints for 3 bodies moving in a planar system. You will explore the hands-on application in HW_07 work-in-progress.

  • What is the vector \(\mathbf{Q}_d\) for a prismatic constraint that keeps an object sliding on a horizontal line?

  • If you have one constraint function, \(C=C(q_1,~q_2,~t) = q_1^2-3q_2\), what is the Jacobian, \(\frac{\partial f}{\partial \mathbf{q}}\)?