1. Tuesday 6/9 PHYS 2010 Nathalie Hoffmann University of Utah

2. Rotational vs. translational (linear) Translational/Linear MotionRotational Motion Position/DisplacementAngular position/displacement VelocityAngular velocity AccelerationAngular acceleration Mass (linear inertia)Moment of Inertia Newton's 2nd lawN2L MomentumAngular Momentum Kinetic EnergyRotational Kinetic Energy

3. Moment of Inertia

5. Parallel Axis Theorem

6. Practice Problems

7. Two uniform, solid spheres (one has a mass M and a radius R and the other has a mass M and a radius 2R) are connected by a thin, uniform rod of length 3R and mass M. Find the moment of inertia about the axis through the center of the rod. To create artificial gravity, the space station shown in the drawing is rotating at a rate of 1.00 rpm. The radii of the cylindrically shaped chambers have the ratio r A /r B = 4.00. Each chamber A simulates an acceleration due to gravity of 10.0 m/s2. Find values for (a) r A,(b) r B, and (c) the acceleration due to gravity that is simulated in chamber B.

8. Answers