Question

A uniform rod of length L and mass Mis
pulled horizontally on a smooth surface with a
force F elongation of the rod of a material of
young's modulus Y is

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Answer 1

Answer:

PHYSICS

A uniform rod of length L and mass M is pulled horizontally on a smooth surface with a force F. Determine the elongation of rod if Young's modulus of the material is Y.

December 27, 2019avatar

Ashu Utge

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ANSWER

Under the action of the external force, the rod accelerates with a = F/m. The magnitude of stress decreases as one moves away from the point of application of the force.

Therefore, the strain also decreases as one moves towards the free end.

To determine the total elongation of the rod, let us consider a small element of length dx at a distance x from the free end of the rod. The magnitude of force at this section is F' = Fx/L. Therefore, the stress at this Section is

and elongation dδ produced in this differential element is

Thus, total elongation is

answer now you can calculate maintally