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a varing horizontal force f=at acts om block of mass m kept on smooth horizontal surface . an identical block is kept on the first block.the co efficient of firction between the blocks is k.the time after which the relative sliding between the blocks prevails is?(a is constant)
Dear akash
Sliding prevail when horizontal force will increse the maximum static friction force between the blcock
at>kmg
t>kmg/a
so for limiting case
t=kmg/a
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Force Equs for 2 blocks are:
at - f = mA (1)
f = mA (2)
A is the acc. of 2 blocks before relative sliding.Solving above eqs. we get
f = at/2
Now when relative sliding starts then
f = Nk = mgk
at = mgk
or t = 2mgk/a
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