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A uniform copper bar of density rho , le...

A uniform copper bar of density `rho` , length `L` , cross - sectional area `S` and young's modulus `Y` is moving horizontally on a frictionless surface with constant acceleration `a_(0) `. Find
(a) the stress at the center of the wire ,
(b) total elongation of the wire .

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
(a) ` T = ((M)/2)a_(0) = ((L)/2 s rho )a_(0)`
` :. "Stress" = (T)/S = (L rho a _(0))/2`
(b) ` T_(x) = M_(x) a_(0) = x rho S a_(o) ` ltbr gt`Deltal = int _(0)^(L) (T_(x) dX)/(SY) = int _(0)^(L) (xrho S a_(0))/(SY)dX`
` = (rho a ^(0) L^(2))/(2Y)`
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