Work, Power and EnergyHard
Question
A rod of mass m, uniform cross sectional area A and length L is accelerated by applying force F asshown in figure on a smooth surface. If Young′s modulus of elasticity of the material of rod is Y.(Consider x as measured from the right end)
Options
A.Tension in rod as a function of distance x is
B.Strain in rod is 
C.Elastic potential energy stored in the rod is 
D.There is no stress in rod.
Solution
at any distance x from edge let there be a cross section for which FBD is given:
for complete rod : ma = F ⇒ a =
...(1)for portion BC : mBC a = T ⇒ T =
a ; T = 
x ⇒ stress = ⇒ 
(C)
(D) Energy stored =
x2 dx A = 
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