Question and Answers Forum

All Questions      Topic List

Mechanics Questions

Previous in All Question      Next in All Question      

Previous in Mechanics      Next in Mechanics      

Question Number 188062 by mr W last updated on 25/Feb/23

Commented by mr W last updated on 25/Feb/23

A and B are connected with a rope  of length L. A mouse of mass m  moves from A to B along the rope.  Find the locus of the mouse,  a) if the mass of rope is neglectable.  b) if the rope has a mass M.

AandBareconnectedwitharopeoflengthL.AmouseofmassmmovesfromAtoBalongtherope.Findthelocusofthemouse,a)ifthemassofropeisneglectable.b)iftheropehasamassM.

Commented by mr W last updated on 25/Feb/23

basically this is the same problem  which the suspention bridges like   following also have:

basicallythisisthesameproblemwhichthesuspentionbridgeslikefollowingalsohave:

Commented by mr W last updated on 25/Feb/23

Commented by mr W last updated on 25/Feb/23

Commented by mr W last updated on 25/Feb/23

the difference is: not a mouse, but a  lot of people and/or cars are moving.

thedifferenceis:notamouse,butalotofpeopleand/orcarsaremoving.

Commented by 073 last updated on 25/Feb/23

see the R∙C Hibbler structure analysis

seetheRCHibblerstructureanalysis

Commented by mr W last updated on 25/Feb/23

i don′t want to apply complicated  structure analysis, but just want to  apply simple mathematics.

idontwanttoapplycomplicatedstructureanalysis,butjustwanttoapplysimplemathematics.

Commented by 073 last updated on 25/Feb/23

ok use hyperbolic function relations

okusehyperbolicfunctionrelations

Answered by mr W last updated on 25/Feb/23

Commented by mr W last updated on 25/Feb/23

case a)  if the rope is weightless,   AC+CB=L  ⇒locus of point C, where the mouse  is, is a part of an ellipse with focii   at A and B.

casea)iftheropeisweightless,AC+CB=LlocusofpointC,wherethemouseis,isapartofanellipsewithfociiatAandB.

Commented by mr W last updated on 25/Feb/23

case b)  this case is solved in Q187675.

caseb)thiscaseissolvedinQ187675.

Commented by mr W last updated on 25/Feb/23

Commented by mr W last updated on 25/Feb/23

Terms of Service

Privacy Policy

Contact: info@tinkutara.com