Two parallel and opposite forces each 5000 N are applied tangentially to the upper and lower fa

Name: Problem 68, Chapter 9: Objective NCERT at your FINGERTIPS: Physics
Uploaded: 2021-10-22T04:19:14-08:00
Duration: 1 min 43 s
Channel: Akshaya Rs
Description: Two parallel and opposite forces each 5000 N are applied tangentially to the upper and lower faces of a cubical metal block of side 25 cm. The angle of shear is (The shear modulus of the metal is 80 GPa.) (a) 10^-4 rad (b) 10^-5 rad (c) 10^-6 rad (d) 10^-7 rad

step 1 This question we learn about some basic concept of the mechanical properties of solid. The quest

Question

Two parallel and opposite forces each $5000 \mathrm{~N}$ are applied tangentially to the upper and lower faces of a cubical metal block of side $25 \mathrm{~cm}$. The angle of shear is (The shear modulus of the metal is $80 \mathrm{GPa}$.) (a) $10^{-4} \mathrm{rad}$ (b) $10^{-5} \mathrm{rad}$ (c) $10^{-6} \mathrm{rad}$ (d) $10^{-7} \mathrm{rad}$

   Two parallel and opposite forces each $5000 \mathrm{~N}$ are applied tangentially to the upper and lower faces of a cubical metal block of side $25 \mathrm{~cm}$. The angle of shear is (The shear modulus of the metal is $80 \mathrm{GPa}$.)
(a) $10^{-4} \mathrm{rad}$
(b) $10^{-5} \mathrm{rad}$
(c) $10^{-6} \mathrm{rad}$
(d) $10^{-7} \mathrm{rad}$

Objective NCERT at your FINGERTIPS: Physics

NCERT 11th Edition

Chapter 9, Problem 68

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Solved by Expert Akshaya Rs

10/22/2021

Step 1

The side of the cube is given as $25 \mathrm{~cm}$, which is $25 \times 10^{-2} \mathrm{~m}$. The cross-sectional area $A$ is then the square of the side length, which is $(25 \times 10^{-2})^2 = 6.25 \times 10^{-4} \mathrm{~m}^2$. Show more…

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Two parallel and opposite forces each $5000 \mathrm{~N}$ are applied tangentially to the upper and lower faces of a cubical metal block of side $25 \mathrm{~cm}$. The angle of shear is (The shear modulus of the metal is $80 \mathrm{GPa}$.) (a) $10^{-4} \mathrm{rad}$ (b) $10^{-5} \mathrm{rad}$ (c) $10^{-6} \mathrm{rad}$ (d) $10^{-7} \mathrm{rad}$

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Key Concepts

Shear Stress

Shear stress is defined as the force acting tangentially to a surface per unit area over which the force is applied. It quantifies how much force is causing a material to slide along a plane, and is calculated by dividing the applied force by the area that is acted upon.

Shear Strain

Shear strain is a measure of deformation representing the angular distortion of a material when subjected to shear stress. It is expressed as the tangent of the angle of deformation (usually approximated as the angle in radians for small deformations), indicating how much the material layers have shifted relative to each other.

Shear Modulus

The shear modulus, also known as the modulus of rigidity, is a material property that relates shear stress to shear strain under elastic conditions. It is defined by the ratio of shear stress to shear strain, allowing for the determination of the angular distortion when the material is subjected to a given shear force.

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