A small mass m rests at the edge of a horizontal disk of radius R , the coefficient of static friction between the mass and the disk is µ . The disk is rotated about its axis at an angular velocity such that the mass slides off the disk and lands on the floor h meters below. What was its horizontal distance of travel from the point that is left the disk?
Text Solution
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Sol. The maximum static friction between the mass and the disk is f = µmg. When the small mass slides off the disk, its horizontal velocity v is given by
= µmg Thus v = 
.
The time required to descend h from rest is
t = 
Therefore the horizontal distance of travel before landing on the floor is equal to
vt = 
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