PPT-Physics 111 Rotational Motion inertia

Equations Angular displacement ɵ ɵ final ɵ initial ɵ arc length s r 2 п 1 full revolution 2 п r circumference Angular velocity ᾠ ɵ t Angular Acceleration . We consider the rotation of . rigid bodies. . A rigid body is an extended object (as opposed to a point object) in which the mass is distributed spatially.. Where should a force be applied to make it . Angular displacement, angular velocity, angular acceleration. Rotational energy. Moment of Inertia. Torque. Chapter 10:Rotation of a rigid object about a fixed axis. Reading assignment:. Chapter 10.1 to10.4, 10.5 (know concept of moment of inertia, don’t worry about integral calculation), 10.6 to . Physics 1, NTC. Angular Motion, General Notes. When a rigid object rotates about a fixed axis in a given time interval, every portion on the object rotates through the same angle in a given time interval and has the same angular speed and the same angular acceleration.. Conservation of rotational momentum. 1. Why does a wheel keep spinning. ?. Why . is a bicycle stable when it is moving, but falls over when it . stops?. Why is it difficult to change the orientation of the axis of a spinning wheel?. Conservation of rotational momentum. 1. Why does a wheel keep spinning. ?. Spinning ice skater . Video. . Why is a bicycle stable when it is moving, but falls over when it stops. ?. Why is it difficult to change the orientation of the axis of a spinning wheel?. © 2015 Pearson Education, Inc.. This lecture will help you understand:. Circular Motion . Rotational Inertia. Torque. Center of Mass and Center of Gravity. Centripetal Force. Centrifugal Force. Rotating Reference Frames. If you ride near the outside of a merry-go-round, do you go faster or slower than if you ride near the middle?. It depends on whether “faster” means . a faster . linear speed (= speed). , ie more . We consider the rotation of . rigid bodies. . A rigid body is an extended object in which the mass is distributed spatially.. Where should a force be applied to make it rotate (spin)? The same force applied at . Dedra. Demaree, . Georgetown University. © 2014 Pearson Education, Inc.. Rotational Motion. How can a star rotate 1000 times faster than a merry-go-round?. Why is it more difficult to balance on a stopped bike than on a moving bike?. University of Michigan. Physics Department. Mechanics and Sound . Intro . Labs. Inclined Plane Experiment. Although it may seem daunting, rotational motion is fairly straightforward. In many ways it is analogous to the linear motion that you have studied previously. Rotational motion can be examined using the same principles of energy and momentum conservation that you have used previously. The equations that accompany these laws take a slightly different form, but at their root, they are based on the same physical principles. So begins your three part study of rotational motion which includes this lab, the rotating bar in . © 2016 Pearson Education, Inc.. Goals for Chapter 9 . To study angular velocity and angular acceleration.. To examine rotation with constant angular acceleration.. To understand the relationship between linear and angular quantities.. Angular Motion.  .  .  .  .  .  . 1.  .  .  .  .  .  .  .  . End Slide.  .  .  .  .  .  .  .  .  . Angular Motion.  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . a = r. α. F = . mr. α. . Στ. = r . Σ. F . = . Σ. mr. 2. α. Moment of Inertia (. . I ) – sum of rotational inertia of an object. I = . Σ. mr. 2. . Στ. = I . α. Equation. Rotational Dynamics. Key Concepts. For each translational motion quantity (position, velocity, acceleration, force, mass, momentum, . kinetic energy). there is a rotational quantity. Same equations apply. . Angular velocity (sign!) and .