Today’s Objectives:Students will be able to:1.Analyze the kinematics of a rigid body undergoing planar translation or rotation about a fixed axis.In-Class Activities:•Check Homework•Reading Quiz•Applications •Types of Rigid-Body Motion•Planar Translation•Rotation About a Fixed Axis•Concept Quiz •Group Problem Solving•Attention Quiz PLANAR RIGID BODY MOTION: TRANSLATION & ROTATION
READING QUIZ1.If a rigid body is in translation only, the velocity at points A and B on the rigid body _______ .A) are usually differentB) are always the sameC) depend on their positionD) depend on their relative position2.If a rigid body is rotating with a constant angular velocity about a fixed axis, the velocity vector at point P is _______.ϖ
APPLICATIONSPassengers on this amusement ride are subjected to curvilinear translation since the vehicle moves in a circular path but they always remains upright.Does each passenger feel the same acceleration?If the angular motion of the rotating arms is known, how can we determine the velocity and acceleration experienced by the passengers? Why would we want to know these values?
APPLICATIONS (continued)Gears, pulleys and cams, which rotate about fixed axes, are often used in machinery to generate motion and transmit forces. The angular motion of these components must be understood to properly design the system.To do this design, we need to relate the angular motions of contacting bodies that rotate about different fixed axes. How is this different than the analyses we did in earlier chapters?
RIGID BODY MOTION (Section 16.1).
PLANAR RIGID BODY MOTIONThere are three types of planar rigid body motion.