ABSOLUTE DEPENDENT MOTION ANALYSIS OF TWO PARTICLESToday’s Objectives:Students will be able to:1.Relate the positions, velocities, and accelerations of particles undergoing dependent motion.In-Class Activities:•Check Homework•Reading Quiz•Applications•Define Dependent Motion•Develop Position, Velocity, and Acceleration Relationships•Concept Quiz•Group Problem Solving•Attention Quiz
READING QUIZ1.When particles are interconnected by a cable, the motions of the particles are ______A) always independent.B) always dependent.C) not always dependent.D) None of the above.2.If the motion of one particle is dependent on that of another particle, each coordinate axis system for the particles _______
APPLICATIONSThe cable and pulley system shown can be used to modify the speed of the mine car, A, relative to the speed of the motor, M. It is important to establish the relationships between the various motions in order to determine the power requirements for the motor and the tension in the cable.For instance, if the speed of the cable (P) is known because we know the motor characteristics, how can we determine the speed of the mine car? Will the slope of the track have any impact on the answer?
APPLICATIONS(continued)Rope and pulley arrangements are often used to assist in lifting heavy objects. The total lifting force required from the truck depends on both the weight and the acceleration of the cabinet.How can we determine the acceleration and velocity of the cabinet if the acceleration of the truck is known?