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A body of mass 10 kg is attached to a wire of length 0.3 m. Its breaking stress is 4.8 x 107 N/m2 . Area of cross-section of the wire is 10-6 m2 . What is the maximum angular velocity with which it can be rotated in a horizontal circle?

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a

2 rad/s

b

1 rad/s

c

4 rad/s

d

8 rad/s

answer is C.

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Detailed Solution

Breaking stress (BS) =FmaxA=mωmax2lA ω=BS×Aml=4.8×107×10-610×0.3=4 rad/s.

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A body of mass 10 kg is attached to a wire of length 0.3 m. Its breaking stress is 4.8 x 107 N/m2 . Area of cross-section of the wire is 10-6 m2 . What is the maximum angular velocity with which it can be rotated in a horizontal circle?