Work, Power and EnergyHard
Question
A rod of mass m, uniform cross sectional area A and length L is accelerated by applying force F as shown 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)
(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 =
......(i)]
for portion BC : mBC a = T ⇒ T =
a ; T = 
x ⇒ stress ⇒ 
(C)
⇒ ᐃ l 
dx ⇒ 
(D) Energy stored =
x2 dx A = 
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