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Physics - Elasticity Question with Solution | TestHub

PhysicsElasticityMiscellaneousHard2 minQB

PhysicsHardsingle choice

A uniform elastic plank moves due to a constant force $F_{0}$ distributed uniformly over the end face whose area is $S$ . The Young's modulus of the plank is $Y$ . The strain produced in the direction of force is

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Answer:

Solution:

The plank accelerates, so stress is not uniform.

Stress is $\frac{F _{0}}{S}$ at the pushed face and falls linearly to $0$ at the free face.

Average stress $= \frac{F _{0}}{2 S}$

Strain $= \frac{stress}{Y} = \frac{F _{0}}{2 S Y}$

Stream:JEESubject:PhysicsTopic:ElasticitySubtopic:Miscellaneous

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