A block of mass M is connected by an ideal string which passes through a thin fixed smooth pipe. A mass m is now connected to other end of string and it is revolved in a vertical circle of radius 
as shown.
If block M is at rest and friction coefficient between M and surface is 
, then frictional force on M is f. If at 
mass m is at its lowest point moving with speed 
and 
is angular displacement of string connecting mass m.
(i) The graph of f versus 
is-
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(i) At any position when string makes angle 
with lower vertical. Then,
…… .(1)
Also 
…… .(2)
From (1) and (2)
(ii) The difference between maximum and minimum tension is independent of u.
(iii) 
which varies with period of 
.
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