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Q.

A small but heavy block of mass 10 kg is attached to a wire 0.3 m long. Its breaking stress is 4.8×107N/m2. The area of the cross section of the wire is 10−6m2. The maximum angular velocity with which the block can be rotated in the horizontal circle is

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a

4 rad/s

b

8 rad/s

c

10 rad/s

d

32 rad/s

answer is A.

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Detailed Solution

mrω2= Breaking stress × Cross-sectional area 10×0.3ω2=4.8×107×10−6=48 or ω2=483=16 or ω=4rad/s

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