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JEE Main Physics question

PhysicsMechanical Properties of SolidsJEE Main

A uniform elastic plank moves over a smooth horizontal plane due to a constant force distributed uniformly over the end face. The surface area of the end face is equal to and Young's modulus of the material is . If the compressive strain of the plank along the direction of the force is . Find .

Answer: 2

Solution

At distance from the pushed end of a plank of length , the internal force needed to accelerate the remaining mass is (since the whole plank accelerates

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Question ID VK-155232