The radius of front wheel of arrangement shown in Fig. is a and that of rear wheel is b. If a dust particle driven from the highest point of rear wheel alights on the highest point of front wheel, the velocity of arrangement is
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Let t be time of flight of the particle from P to Q. Since e is the distance between the centers of
the two wheels, the horizontal distance between the wheels.
c h = 
If v is the velocity of the carriage,
then c h = vt (horizontal range)
or v t = 
or t = 
In this time, the particle has covered the vertical distance = 2(b - a).
∴ ∴ 2(b - a) = 
or 
or v 2 = 
or v = 
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