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Q.

Two blocks of masses 3kg and 5kg are connected by a metal wire going over a smooth pulley. The breaking stress of the metal is 24π×102Nm2. What is the minimum radius of the wire?  Take  g=10ms2

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a

1250cm

b

12.5cm

c

125cm

d

1.25cm

answer is C.

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Detailed Solution

T=2m1m2gm1+m2=2×3×5×108=752 Stress =TA

 24π×102=752×πR2R2=752×24×100=38×24R=0.125mR=12.5cm

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