Today’s Objectives:Students will be able to: a) Resolve the acceleration of a point on a body into components of translation and rotation.b) Determine the acceleration of a point on a body by using a relative acceleration analysis.In-Class Activities:•Check homework, if any•Reading quiz•Applications•Translation and rotation components of acceleration•Relative acceleration analysis•Roll-without-slip motion•Concept quiz•Group problem solving•Attention quizRELATIVE MOTION ANALYSIS: ACCELERATION (Section 16.7)
APPLICATIONSIn the mechanism for a window, link AC rotates about a fixed axis through C, while point B slides in a straight track. The components of acceleration of these points can be inferred since their motions are known.To prevent damage to the window, the accelerations of the links must be limited. How can we determine the accelerations of the links in the mechanism?
APPLICATIONS(continued)The forces delivered to the crankshaft, and the angular acceleration of the crankshaft, depend on the speed and acceleration of the piston in an automotive engine.How can we relate the accelerations of the piston, connection rod, and crankshaft in this engine?