Q.
A uniform rod is rotating about one of its end with a constant angular velocity ω in gravity free space. The radial strain produced in two halves is k>1. Then find the value of 20k11.
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a
1
b
2
c
3
d
4
answer is D.
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Detailed Solution
dL=TAYdx=mω22ALYdx ∵T=mω22LL2-x2 ∴∆L=mω22ALYL2x-x33 ∆L for entire rod=k.2L33=k = constant ∆L for first half =kL312-124=11kL324 ∆L for second half=kL323-1124=524kL3 ∴k=115 ∴20k11=4
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