PHYS 211 Lecture 18: Unit 18 Rotational Dynamics.pdf
Document Summary
Address examples that combine translational and rotational motion. Will need newton"s 2nd law for kinematics and rotational. Develop the equation for the rotational analog to the center of mass equation. Examine in detail the motion of the ball rolling without slipping down the ramp. The net torque on a system of particles is the inertia multiple by the acceleration. Take a cylinder with a massless string wrapped around it. As the rope is pulled with force f, what is the angular acceleration of the disk. The force is always pulled with force f, perpendicularly to the radius r, making torque = r*f. that means it is equal to the angular acceleration times the inertia. Inertia for a solid cylinder is known and thus, moving things around, the equation becomes. So add a mass to the end of the string from before. The force is the normal force minus the tension, which equal the mass times the acceleration.
