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A uniform rod is rotating about one of its end with a constant angular velocity in gravity free space. The radial strain produced in two halves is . Then find the value of .
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Correct option is D
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=4Similar Questions
A rectangular block of size 10 cm x 8 cm x 5 cm is kept in three different positions P, Q and R in turn as shown in the figure. In each case, the shaded area is rigidly fixed and a definite force F is applied tangentially to the opposite face to deform the block. The displacement of the upper face will be
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