One of the square faces of a metal slab of side 50 cm and thickness 20 cm is rigidly fixed on a horizontal surface. If a tangential force of 30 N is applied to the top face and it is known that the shear modulus of the material is 4 × 10 10 N / m 2 , then the displacement (in m ) of the top face is

Question

One of the square faces of a metal slab of side 50 cm and thickness 20 cm is rigidly fixed on a horizontal surface. If a tangential force of 30 N is applied to the top face and it is known that the shear modulus of the material is 4 × 10 10 N / m 2 , then the displacement (in m ) of the top face is, 4 × 10 - 12, 4 × 10 - 10, 6 × 10 - 10, 8 × 10 - 10

MARKS App · Accepted Answer

Shear strain, ε = tan ⁡ θ = θ = x l η = σ ε Or x = F ⋅ l A ⋅ η Given F = 30 N A = 50 × 50 × 10 - 4 η = 4 × 10 10 x = 30 × 20 × 10 - 2 50 × 50 × 10 - 4 × 4 × 10 10 = 6 25 × 4 × 10 - 2 × 10 10 = 6 × 10 - 10 m

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