PowerPoint Presentation

5. Loaded hoopFasten a small weight to the inside of a hoop and set the hoop in motion by giving it an initial push.

Investigate the hoops motion.

1Example of motion - video

2Video -> pa pokraj graf da se vidi to se dogaalo 2

3OutlineExperimental approachHoop propertiesGiving initial pushParametersTheoretical modelingKinematics and dynamicsModes of motionComparison of experimental data and theoryModes of motionDependence of angular frequency on angle for different weight massHop analysisEnergy analysis4Hoop properties

529,5 cm99 mm124 mmDodati masu drugog obrua5Hoop properties6Experimental aproachGiving initial pushIncline

Colision

Method of motion recording3 small areas marked with reflective stickersMotion recorded in 120 fpsStickers tracked in program for video analysis ImageJ

Frame for centering and releasing the hoop7Theoretical modelingFNMgweightRrR8Modes of motion9Rolling10Rolling with slipping11Hop12Determing hoop motion - 113

HopOznaiti skok 0,313scrvena theta(t), crna s(t)/R13Determing hoop motion - 114

Hop analysis - 215

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Analysis of motion without hop - 3Analysis of motion without hop - 317

Conservation of energy

18Dependence of angular velocity on angle for different weight mass19Conclusion20ReferenceM. F. Maritz, W.F.D. Theron; Experimental verification of the motion of a loaded hoop; 2012 American journal of physicsM. F. Maritz, W.F.D. Theron; The amazing variety of motions of a loaded hoop; Mathematical and Computer Modelling 47 (2008) 1077-1088Lisandro A. Raviola, O. Zarate, E. E. Rodriguez; Modeling and experimentation with asymmetric rigid bodies: a variation on disks and inclines; March 31, 2014W. F. D. Theron, Analysis of the Rolling Motion of Loaded Hoops, dissertation, March 2008

21Thank youIYPT 2014 CroatiaN teamReporter: Domagoj Pluec

22Hoop123Determing hoops motion another example24

Rotational velocity in time another example

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Energy another example