A thin uniform rod of length 
and certain mass is kept on a frictionless horizontal table with a massless string of length 
fixed to one end (top view is shown in the figure). The other end of the string is pivoted to a point 
. If a horizontal impulse 
is imparted to the rod at a distance 
from the mid-point of the rod (see figure), then the rod and string revolve together around the point 
, with the rod remaining aligned with the string. In such a case, the value of 
is .
Text Solution
Verified by Experts18
(18)
M.I. of rod about centre 
Since rod is in pure rotation about ' 
'
So, angular impulse 
……………(i)
and linear impulse 
……………..(ii)
where …………….(iii)
(20m (i)) 
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