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Find out the elongation in block. If mas...


Find out the elongation in block. If mass area of cross-section and young modulus of block are m, A and y respectively.

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Acceleration, `a = (F)/(m)` then `T = m'a` where `rArr m' = (m)/(l) x`
. `T = (m)/(l) xx (F)/(m) = (Fx)/(l)`
Elongation in element `'d' = (Tdx)/(AY)`
total elongation, `delta = overset(l)underset(0)(int)(Tdx)/(AY) d = overset(l)underset(0)(int)(Fxdx)/(AlY) = (Fl)/(2AY)`
Note :- Try this problem. If friction is given between block and surface (`mu =` frication coefficient), and
Case : `(I) F lt mumg`
(ii) `F gt mumg`
In both cases answer will be `(Fl)/(2AY)`
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