direction of friction

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]

25 Answers

1
skygirl ·

john ur prooof was for ur q or mine ?

24
eureka123 ·

good work johnny bhai...........[4][4]

1
skygirl ·

yes john :)
great! :)

1
JOHNCENA IS BACK ·

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

1
JOHNCENA IS BACK ·

i am getting both mathematically and intuitively that direction should be right side for friction

106
Asish Mahapatra ·

yes [1]

1
JOHNCENA IS BACK ·

ans. in forward direction.i.e. right side

106
Asish Mahapatra ·

if it looses contact. then friction kaise lagega?

1
skygirl ·

direction: take anything...
say θ with horizontal.

1
JOHNCENA IS BACK ·

@skygirl
proof was for my question...........in ur direction is not clear.........plz can u clarify

1
skygirl ·

@priyam... kk...

1
skygirl ·

@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.....

33
Abhishek Priyam ·

I think...for his question..

33
Abhishek Priyam ·

<--------

33
Abhishek Priyam ·

haha sky..

force is at some angle... good..

1
JOHNCENA IS BACK ·

@#9

direction of force is not clear!!!!!!!!!!!!!!

1
JOHNCENA IS BACK ·

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

1
skygirl ·

john try to find this one....

1
skygirl ·

33
Abhishek Priyam ·

yes kamlendu..frioction only oppsoes relative motion

due to ang acc.. lower part moves towards right so to oppose it it acts towards left

1
JOHNCENA IS BACK ·

i got the proof..............i think

33
Abhishek Priyam ·

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

33
Abhishek Priyam ·

wait I am giving complete proof

1
JOHNCENA IS BACK ·

left is quite obvious but................not that obvious we gotta prove it!!!!!!!!![1]

106
Asish Mahapatra ·

priyam bhai; direction toh left hoga .. par MATHEMATICAL PRROF poocha ja rahaa hai

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