A plumb-line is set up on a rotating disk and makes an angle of 
with the vertical, as in Fig. The distance r from the point of suspension to the axis of rotation is known, and so is the length 
of the thread. Find the angular velocity of rotation.
Text Solution
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Sol. The plumb-line is so set up that the resultant of its weight mg and the tension in the thread T produces a centripetal force F = m ω 2 R (fig.). Clearly R = r + λ sin α . Therefore,
ω 2 = 
, ω = 
.
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