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Q.

Two biocks of masses 1 kg and 2 kg are connected by a metal wire of breaking stress 2×109Nm−2 going over a smooth pulley as shown in figure. The minimum radius of the wire required to move without breaking is... (Take g=10ms−2; stress = force/Area)

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a

4.6×10−5m

b

4.6×10−6m

c

2.5×10−6m

d

2.5×10−5m

answer is A.

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Detailed Solution

Let the tension in the wire be T. The equations of motion of the two locks are,T−10=1aand 20−T=2aEliminating a form these equations,T=403NStress, =403πr2If the minimum radius needed to avoid breaking is r.2×109=403πr2Solving this,r=4.6×10−5m
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