First slide
Elastic behaviour of solids
Question

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 106m2. The maximum angular velocity with which the block can be rotated in the horizontal circle is

Moderate
Solution

mrω2= Breaking stress × Cross-sectional area 10×0.3ω2=4.8×107×106=48 or  ω2=483=16 or ω=4rad/s

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