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A thin uniform copper rod length l and m...

A thin uniform copper rod length `l` and mass m rotates unifomly with an angular velocity `omega` about a vertical axis passing through one of its ends as shown in the figure. Young's modulus of copper is Y. Breaking stress is `sigma_(max)`, cross sectional area of rod is A and density of rod is uniform. Based on above information, answer the following questions
The maximum angular velocity with which the rod can rotate so that is won't break, is

A

`sqrt((2sigma_(max)A)/(ml))`

B

`sqrt((2sigma_(max)A)/(3ml))`

C

`sqrt((sigma_(max)A)/(2ml))`

D

`sqrt((3sigma_(max)A)/(ml))`

Text Solution

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The correct Answer is:
A
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