A rod of mass m, uniform cross sectional area A and length L is accelerated by applying force F as s

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)

Accepted Answer

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 : m_BC a = T ⇒ T = a ; T = x ⇒ stress ⇒
(C) ⇒ ᐃ l dx ⇒
(D) Energy stored = x² dx A =

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