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Question

A rod of mass M is subjected to force t and 2f at both the ends as shown in the figure. If young modulus of its material is y and its length is L find total elongation of rod.
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A
fl2Ay
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B
flAy
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C
3fl2Ay
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D
4fl2Ay
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Solution

The correct option is C 3fl2Ay
To solve problem of these types we consider average force acting
Δl=FLAy=(f1+f22)LAy=(f+2f2)LAy=3fL2AyTotalelongation=Δl=3fL2AyHence,theoptionCisthecorrectanswer.

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