find ratio

A sphere of mass m is placed on a rough plank of mass 2m which in turn is placed on an rough inclined plane, inclined at an angle theta, with horizontal. Friction coefficient between plank and sphere is u2 and that between plank and incline
plane is u1. Find the maximum-value of u1/ u2 to ensure pure rolling at plank and sphere surface.

3 Answers

21
Shubhodip ·

is the answer 8/3??

1
redion ·

yes, plz post ur attempt and thanks for replying!! next part of question was that will sphere fall after any time ( from the plank) and if so then calculate the time after which it falls, given that length of plank is L and u1/ u2 is maximum , assume incline to be very long

21
Shubhodip ·

draw FBD with action reaction...friction between the sphere and plank is responsible for the rotation of the sphere...it opposes the motion of sphere and favours the motion of plank...

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