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a smal mass slides dwn an inclined plane of inclination @.th coef of friction varies as k=k1x.whr x is th distance through wch block slides down.then the distance covered by mass before it stops is??

a smal mass slides dwn an inclined plane of inclination @.th coef of friction varies as k=k1x.whr x is th distance through wch block slides down.then the distance covered by mass before it stops is??

Grade:12

2 Answers

AKASH GOYAL AskiitiansExpert-IITD
420 Points
13 years ago

Dear Student

See the pic for the solution

 

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AKASH GOYAL

AskiitiansExpert-IITD

 

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vikas askiitian expert
509 Points
13 years ago

net force on the mass = mgsin@ - friction force

                           ma = mgsin@ - kmgcos@

                             a = g(sin@-kcos@)      or

                                =g(sin@-k1xcos@)       .........1

                     a = dv/dt

                    adx = dv(dx/dt)

                    adx = vdv          .................2

from 1 & 2

            g(sin@-k1xcos@)dx = vdv

           g(sin@x - k1cos@(x2/2)) = 0          

               x = 2tan@/k1

 

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