another in normal reaction

ok mr pirate i will wait

normal reaction between collar and track is
√(mg)²+(mv²/R)²

so frictional force acting will be μ_k√(mg)²+(mv²/R)²

so mdv/dt=-μ_k√(mg)²+(mv²/R)²

dv/dt=-μ_k√(g)²+(v²/R)²

dv/ds*ds/dt=-μ_k√(g)²+(v²/R)²

vdv/dt=-μ_k√(g)²+(v²/R)²

.....(correction with a minus sign)

Solve it to get 's'

Haven't taken gravity free space as in that case only normal reaction will be mv²/R and as μmv²/R will decrease v and hence normal reaction will also so when v→0 the force also→0 so it will take infinite time to stop...

@shankara.. :eng: someone give correct answer..

v²Î¼k/R = -vdv/dx!!!!!!!!!!!!!

μkx/R = ln (0)

x = R /μk.................

defently rong!!!!!!!!!!!!!!!!!! rite im half asleep [13]

U have not taken gravity.. :O

horizontal usuall means to neglect gravity ........ !!! it cant be soo complex!!!!!!!!