PHYS 1501Q Lecture Notes - Lecture 22: Spherical Shell, Parallel Axis Theorem, Angular Velocity

• School: UConn
• Department: Physics
• Course: PHYS 1501Q
• Professor: Soroush Khosravi Dehaghi, Robert McCutcheon

Document Summary

Physics 1501q - lecture 22 - rotational kinematics and parallel axis theorem . Key (in si units): t = time (s) x = distance (m) v = velocity (m/s) a = acceleration (m/s 2 ) = change in g = gravity = 9. 81 m/s 2. G = 6. 67 10 11 n m 2 /kg 2 m = mass (kg) U = potential energy (j) w = angular velocity (m/s) A description of the distribution of mass with respect to an axis of rotation. The moment of inertia depends on the choice of rotation axis. For a discrete distribution, i = m i r i . For a continuous distribution, i = r 2 dm. Rotation of a thin rod of mass m and length l: About the center: i z = ml 2 / 12. About an end: i z = ml 2 / 3. 2 (source: slide 14 of 10/15 rotational kinematics lecture slides https://lms. uconn. edu/bbcswebdav/pid-2575043-dt-content-rid-39120342_1/courses/1188-uco.