- #1
Amith2006
- 427
- 2
Sir,
Please help me with this problem.
# A wire of cross sectional area a, length L and young’s modulus Y is extended by an external force F. What is the total energy stored in the wire?
I solved it in the following way:
Energy stored = ½ x stress x strain
= (½) x (F/a) x (dL/L)
= (½) x (F/a) x (F/aY)
= (1/2) x (F^2/a^2Y)
Is it right? But the answer given in my book is ½(YF^2L/a).
Here the symbol ^ represents power and x represents multiplication.
Please help me with this problem.
# A wire of cross sectional area a, length L and young’s modulus Y is extended by an external force F. What is the total energy stored in the wire?
I solved it in the following way:
Energy stored = ½ x stress x strain
= (½) x (F/a) x (dL/L)
= (½) x (F/a) x (F/aY)
= (1/2) x (F^2/a^2Y)
Is it right? But the answer given in my book is ½(YF^2L/a).
Here the symbol ^ represents power and x represents multiplication.