Thsi was doen by rohan I think....
"A particle is placed on a rough plane inclined at an angle theta, where tan θ = μ = coefficient of friction(both static an dynamic). A string attached to the particle passes through a small hole in the plane. The string is pulled so slowly that you may consider the particle to be in static equilibrium at all times. Find the path of the particle on the inclined plane."
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3 Answers
This is a known problem .. a hint .. first try to understand how the particle will move ? ( if it is being pulled slowly what does it signify ?? what is its connection with friction ??)
and if you find it then just put up the differential equations .... and solve them (can prove a little boring :D)
For more hints poke me :P
Is this the meaning - rohan?
Since there is static equilibrium at all times, K.E of the particle is 0, that gives no acceleration, thus frictional and tension forces should balance each other.