Physics I [Phys 161]                        Spring 2004 Assignment #7 Reading, Vocabulary, & Objectives A. Availability and Due Dates Assignment #7 is available Monday, March 29, 2004.  The target date for its successful completion is Monday, April 12, 2004.  In any event, all problems from Assignment #7 must be successfully completed and turned in by 5:00 pm on Wednesday, April 21, 2004.  If this requirement is not met, the student will not be allowed to take Exam 4, to be given in class on Friday, April 23, 2004.   B. Reading As preparation for completing the problems in Assignment #7, read Chapters 9 and 10 in Serway & Jewett. C. Vocabulary As part of Assignment #7, the following vocabulary words must be understood and memorized in addition to those already listed on Assignments 1-6: Linear Momentum, Impulse, Center of Mass, Angular Displacement, Angular Momentum, Average Angular Acceleration, Instantaneous Angular Acceleration, Average Angular Speed, Instantaneous Angular Speed, Average Angular Velocity, Instantaneous Angular Velocity, Moment of Inertia, Torque. D. Objectives In addition to the Objectives already listed as part of Assignments 1-6, the student should Know the definitions of those quantities listed in the vocabulary section above. Be comfortable using Cylindrical and Spherical coordinate systems.  The student should be able to switch back and forth freely between these systems and the Cartesian coordinate system. Be comfortable taking derivatives of functions containing the exponential function. Know the SI units in which Linear Momenta, Angular Momenta, Angular Velocities, Angular Speeds, Angular Accelerations, Moments of Inertia, Impulses, and Torques are measured. Be able to determine the location of the center of mass of an arbitrary system.  The student should also understand the relevance of the center of mass. Know the definition of linear momentum, and understand that total linear momentum is conserved in any system free from external forces. Understand what is meant by the term Impulse, and be able to calculate it given sufficient information.    Be able to predict how the application of forces and/or impulses will affect the total linear momentum of a system. Be comfortable with rotational kinematics in three dimensions.  It should be possible for the student to communicate this comfort both algebraically and graphically.  In particular, the student should be able to represent rotational quantities as vectors. Understand the concept of torque, and be able to calculate torques given sufficient information. Understand the concept of moment of inertia, and be able to calculate moments of inertia given sufficient information. Be able to determine the rotational kinetic energy of an arbitrary system. Be able to use the rotational version of Newtonian mechanics to describe the behavior of systems when applicable. Understand the concept and definition of angular momentum, and understand that total angular momentum is conserved in any system free from external torques. Be able to predict how the application of torques will affect the angular momentum of a system.