Paper Title :A Mathematical Model To Analyse The Effects Of Sliding Friction On The Motion Of A Person Sliding Down A Rough Circular Track
Author :Prahlad Kulkarni
Article Citation :Prahlad Kulkarni ,
(2015 ) " A Mathematical Model To Analyse The Effects Of Sliding Friction On The Motion Of A Person Sliding Down A Rough Circular Track " ,
International Journal of Mechanical and Production Engineering (IJMPE) ,
pp. 106-110,
Volume-3,Issue-7
Abstract : The objective of this paper is to analyse the effects of sliding friction on the motion of a Personon a rough vertical
circular slide. Aslide which represents a quadrant of radius 5m and a person of mass 60kgis considered for comparison in
this paper. A Differential equation for motion is establishedand is solved using integrating factor method andthe motion is
analysed for different surface roughness of the slide and is compared using superimposed graphs,also the value of critical
coefficient of friction beyond which the person does not exit or come out of the slide is determined.The correction factor for
exit velocity with friction is determined. The fraction of energy lost to friction at the exit is evaluated. The Variation of
normal force with the position of the person on the slide is plotted for different surface roughnesses of the slide, and the
position on the slide where the normal force or the force experienced by the person is maximum, is determined and hence its
maximum value is evaluated for different surface roughnesses. For simplicity a point contact between the body and the slide
is considered
Index terms-critical coefficient of friction, correction factor, exit velocity, integrating factor method, sliding friction,
Type : Research paper
Published : Volume-3,Issue-7
DOIONLINE NO - IJMPE-IRAJ-DOIONLINE-2634
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Copyright: © Institute of Research and Journals
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Published on 2015-07-10 |
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