Rotation angular motion angular momentom Physics 100 Chapt
![Rotation, angular motion & angular momentom Physics 100 Chapt 6 Rotation, angular motion & angular momentom Physics 100 Chapt 6](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-1.jpg)
![Rotation Rotation](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-2.jpg)
![Rotation d 1 d 2 The ants moved different distances: d 1 is less Rotation d 1 d 2 The ants moved different distances: d 1 is less](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-3.jpg)
![Rotation q q 1 q 2 Both ants moved the Same angle: q 1 Rotation q q 1 q 2 Both ants moved the Same angle: q 1](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-4.jpg)
![Angular vs “linear” quantities Linear quantity distance velocity = change in d elapsed time Angular vs “linear” quantities Linear quantity distance velocity = change in d elapsed time](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-5.jpg)
![Angular vs “linear” quantities Linear quantity distance velocity acceleration = change in v elapsed Angular vs “linear” quantities Linear quantity distance velocity acceleration = change in v elapsed](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-6.jpg)
![Angular vs “linear” quantities Linear quantity symb. distance velocity acceleration d v a mass Angular vs “linear” quantities Linear quantity symb. distance velocity acceleration d v a mass](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-7.jpg)
![Moment of inertial M M x I Mr 2 r I=small r r = Moment of inertial M M x I Mr 2 r I=small r r =](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-8.jpg)
![Moment of inertia Moment of inertia](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-9.jpg)
![Angular vs “linear” quantities Linear quantity distance velocity acceleration mass Force symb. Angular quantity Angular vs “linear” quantities Linear quantity distance velocity acceleration mass Force symb. Angular quantity](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-10.jpg)
![Teeter-Totter His weight produces a larger torque F Forces are the same. . but Teeter-Totter His weight produces a larger torque F Forces are the same. . but](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-11.jpg)
![Angular vs “linear” quantities Linear quantity symb. distance velocity acceleration mass Force momentum d Angular vs “linear” quantities Linear quantity symb. distance velocity acceleration mass Force momentum d](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-12.jpg)
![Conservation of angular momentum I Iw w Iw Conservation of angular momentum I Iw w Iw](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-13.jpg)
![High Diver Iw I w Iw High Diver Iw I w Iw](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-14.jpg)
![Conservation of angular momentum Iw I w Conservation of angular momentum Iw I w](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-15.jpg)
![Angular momentum is a vector Right-hand rule Angular momentum is a vector Right-hand rule](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-16.jpg)
![Conservation of angular momentum Girl spins: net vertical component of L still = 0 Conservation of angular momentum Girl spins: net vertical component of L still = 0](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-17.jpg)
![Turning bicycle These compensate L L Turning bicycle These compensate L L](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-18.jpg)
![Torque is also a vector example: pivot point another right-hand rule F t is Torque is also a vector example: pivot point another right-hand rule F t is](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-19.jpg)
![Spinning wheel t F wheel precesses away from viewer Spinning wheel t F wheel precesses away from viewer](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-20.jpg)
![Angular vs “linear” quantities Linear quantity symb. distance velocity acceleration mass d v a Angular vs “linear” quantities Linear quantity symb. distance velocity acceleration mass d v a](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-21.jpg)
![Hoop disk sphere race Hoop disk sphere race](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-22.jpg)
![Hoop disk sphere race I I I Hoop disk sphere race I I I](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-23.jpg)
![Hoop disk sphere race I KE = ½ mv 2 + ½ Iw 2 Hoop disk sphere race I KE = ½ mv 2 + ½ Iw 2](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-24.jpg)
![Hoop disk sphere race Every sphere beats every disk & every disk beats every Hoop disk sphere race Every sphere beats every disk & every disk beats every](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-25.jpg)
- Slides: 25
![Rotation angular motion angular momentom Physics 100 Chapt 6 Rotation, angular motion & angular momentom Physics 100 Chapt 6](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-1.jpg)
Rotation, angular motion & angular momentom Physics 100 Chapt 6
![Rotation Rotation](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-2.jpg)
Rotation
![Rotation d 1 d 2 The ants moved different distances d 1 is less Rotation d 1 d 2 The ants moved different distances: d 1 is less](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-3.jpg)
Rotation d 1 d 2 The ants moved different distances: d 1 is less than d 2
![Rotation q q 1 q 2 Both ants moved the Same angle q 1 Rotation q q 1 q 2 Both ants moved the Same angle: q 1](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-4.jpg)
Rotation q q 1 q 2 Both ants moved the Same angle: q 1 = q 2 (=q) Angle is a simpler quantity than distance for describing rotational motion
![Angular vs linear quantities Linear quantity distance velocity change in d elapsed time Angular vs “linear” quantities Linear quantity distance velocity = change in d elapsed time](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-5.jpg)
Angular vs “linear” quantities Linear quantity distance velocity = change in d elapsed time symb. d v Angular quantity symb. angle angular vel. change in q = elapsed time q w
![Angular vs linear quantities Linear quantity distance velocity acceleration change in v elapsed Angular vs “linear” quantities Linear quantity distance velocity acceleration = change in v elapsed](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-6.jpg)
Angular vs “linear” quantities Linear quantity distance velocity acceleration = change in v elapsed time symb. d v a Angular quantity symb. angle q angular vel. w angular accel. a change in w = elapsed time
![Angular vs linear quantities Linear quantity symb distance velocity acceleration d v a mass Angular vs “linear” quantities Linear quantity symb. distance velocity acceleration d v a mass](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-7.jpg)
Angular vs “linear” quantities Linear quantity symb. distance velocity acceleration d v a mass m resistance to change in the state of (linear) motion moment arm x Angular quantity symb. angle q angular vel. w angular accel. a Moment of Inertia I (= mr 2) resistance to change in the state of angular motion M Moment of inertia = mass x (moment-arm)2
![Moment of inertial M M x I Mr 2 r Ismall r r Moment of inertial M M x I Mr 2 r I=small r r =](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-8.jpg)
Moment of inertial M M x I Mr 2 r I=small r r = dist from axis of rotation I=large (same M) easy to turn harder to turn
![Moment of inertia Moment of inertia](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-9.jpg)
Moment of inertia
![Angular vs linear quantities Linear quantity distance velocity acceleration mass Force symb Angular quantity Angular vs “linear” quantities Linear quantity distance velocity acceleration mass Force symb. Angular quantity](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-10.jpg)
Angular vs “linear” quantities Linear quantity distance velocity acceleration mass Force symb. Angular quantity symb. d angle q v angular vel. w a angular accel. a m moment of inertia I F (=ma) torque t (=I a) Sameforce; Same bigger torque even bigger torque = force x moment-arm
![TeeterTotter His weight produces a larger torque F Forces are the same but Teeter-Totter His weight produces a larger torque F Forces are the same. . but](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-11.jpg)
Teeter-Totter His weight produces a larger torque F Forces are the same. . but Boy’s moment-arm is larger. . F
![Angular vs linear quantities Linear quantity symb distance velocity acceleration mass Force momentum d Angular vs “linear” quantities Linear quantity symb. distance velocity acceleration mass Force momentum d](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-12.jpg)
Angular vs “linear” quantities Linear quantity symb. distance velocity acceleration mass Force momentum d v a m F (=ma) p (=mv) Angular momentum is conserved: L=const Angular quantity symb. angle q angular vel. w angular accel. a moment of inertia I torque t (=I a) angular mom. L (=I w) I w = Iw
![Conservation of angular momentum I Iw w Iw Conservation of angular momentum I Iw w Iw](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-13.jpg)
Conservation of angular momentum I Iw w Iw
![High Diver Iw I w Iw High Diver Iw I w Iw](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-14.jpg)
High Diver Iw I w Iw
![Conservation of angular momentum Iw I w Conservation of angular momentum Iw I w](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-15.jpg)
Conservation of angular momentum Iw I w
![Angular momentum is a vector Righthand rule Angular momentum is a vector Right-hand rule](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-16.jpg)
Angular momentum is a vector Right-hand rule
![Conservation of angular momentum Girl spins net vertical component of L still 0 Conservation of angular momentum Girl spins: net vertical component of L still = 0](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-17.jpg)
Conservation of angular momentum Girl spins: net vertical component of L still = 0 L has no vertical component No torques possible Around vertical axis vertical component of L= const
![Turning bicycle These compensate L L Turning bicycle These compensate L L](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-18.jpg)
Turning bicycle These compensate L L
![Torque is also a vector example pivot point another righthand rule F t is Torque is also a vector example: pivot point another right-hand rule F t is](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-19.jpg)
Torque is also a vector example: pivot point another right-hand rule F t is out of the screen Thumb in t direction F wrist by pivot point Fingers in F direction
![Spinning wheel t F wheel precesses away from viewer Spinning wheel t F wheel precesses away from viewer](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-20.jpg)
Spinning wheel t F wheel precesses away from viewer
![Angular vs linear quantities Linear quantity symb distance velocity acceleration mass d v a Angular vs “linear” quantities Linear quantity symb. distance velocity acceleration mass d v a](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-21.jpg)
Angular vs “linear” quantities Linear quantity symb. distance velocity acceleration mass d v a m Force momentum F (=ma) p (=mv) kinetic energy ½ mv 2 I w V Angular quantity symb. angle q angular vel. w angular accel. a moment of inertia I torque t (=I a) angular mom. L (=I w) rotational k. e. ½ I w 2 KEtot = ½ m. V 2 + ½ Iw 2
![Hoop disk sphere race Hoop disk sphere race](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-22.jpg)
Hoop disk sphere race
![Hoop disk sphere race I I I Hoop disk sphere race I I I](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-23.jpg)
Hoop disk sphere race I I I
![Hoop disk sphere race I KE ½ mv 2 ½ Iw 2 Hoop disk sphere race I KE = ½ mv 2 + ½ Iw 2](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-24.jpg)
Hoop disk sphere race I KE = ½ mv 2 + ½ Iw 2 I
![Hoop disk sphere race Every sphere beats every disk every disk beats every Hoop disk sphere race Every sphere beats every disk & every disk beats every](https://slidetodoc.com/presentation_image/4813145f4027b140c5805944266e09e8/image-25.jpg)
Hoop disk sphere race Every sphere beats every disk & every disk beats every hoop
100 100 100 100 100
Specific rotation chemistry
Ap physics 1 angular momentum
Only lines or bodies undergo angular motion
Equations of motion rotation about a fixed axis
Iw^2 physics
Torque right hand rule
Kinematic equations for angular motion
Momentum pdhpe
General planar motion
Planar kinematics of a rigid body
Angular motion equations
Angular motion kinesiology
Quantity of angular motion possessed by a body
300 ün 20 si kaçtır
200+200+100+100
Box plots gcse
Malloc lab 100/100
1453-1337
100+100=200
Big data on bare metal
200+100+300
C/100=f-32/180=k-273/100
What's 100 + 100
300+300+200+200
Numeros romanos. del 1 al 1000