john ur prooof was for ur q or mine ?
a spool is pulled by a force in vertical direction as shown in figure.what is the direction of friction in this case?the spool does not lose contact with the ground.
[prove mathematically]
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25 Answers
proof:
assume friction in right side
Fcos@+f=Ma
FR-f2R=Ia/2R
solving
f=F[2MR2-IFcos@]/[I+4MR2]
so right side is dir. of friction
i am getting both mathematically and intuitively that direction should be right side for friction
@skygirl
proof was for my question...........in ur direction is not clear.........plz can u clarify
@john, just to find the direction, dun go so much mathematically [i mena if u wish u can but no need actually]
understand priyam's method .. post#6.....
let inner raddi be R and outer be 2R.....let f acts leftwards
then
f=Ma
FR-f2R=Ia/2R
f=FR/[I/2MR+2R]
hence,left
yes kamlendu..frioction only oppsoes relative motion
due to ang acc.. lower part moves towards right so to oppose it it acts towards left
the applied force provide ang acc.. so for trying to support pure rolling acc must be in shown direction which is providedd by the ony possible external horizontal force i.e friction
so towards left
left is quite obvious but................not that obvious we gotta prove it!!!!!!!!![1]
priyam bhai; direction toh left hoga .. par MATHEMATICAL PRROF poocha ja rahaa hai