8. Two stones of masses m and 2 m are whirled in
horizontal circles, the heavier one in a radius r/2 and lighter one in radius r. The tangential speed of
lighter stone is n times that of the value of heavier stone when they experience same centripetal
forces. The value of n is
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Let the C.F. for the lighter body be CF1 and heavier body CF2,
CF1=mv²/r
CF2=2mv²/r/2
=4mv²/r
Since tangential velocity of lighter stone is n times the heavier stone
mv²/r=4mv²/r
Neglecting other values
v=4v
therefore, the value of n is 4
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