Home > Courses > 1P21_Sternin > RotationalMotion Introduction Kinematics: motion in one and two dimensions Dynamics Work and energy Rotational motion Kinematics of rotational motion angular displacement, velocity, acceleration Ex: two satellites in orbit kinematic equations are analogous to the linear motion Ex: a watch Ex: a fan changing speeds Ex: a rolling tire Ex: "crack-the-whip" or "wrack-your-brains" vector nature of the angular velocity: right-hand-rule convention centripetal acceleration for a uniform circular motion Ex: tight and gentle turns non-uniform circular motion: $\vec{a} = \vec{a}_t + \vec{a}_c$ (a model plane, a discus thrower) Ex: a two-speed fan, another expression for ac Dynamics of uniform rotation Ex: a model airplane, Fc=T comes from tension in the wire Ex: a turning car, Fc=fs comes from friction Ex: an orbiting satellite, Fc comes from gravity Ex: a banked road, Fc comes from the normal force Ex: friction vs. banking The Turn, by William Langewiesche; also as a PDF file Torque Ex: holding up a briefcase (free-body diagram) Ex: a diving board Ex: balancing a tray center of gravity Ex: do you know where your c.o.g. is? (oops) Moment of inertia depends on where the axis is N2L for rotations Ex: Hoisting a crate Ex: Atwood machine revisited Work and kinetic energy Linear and angular momentum