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If a force of 10N acts on a body of mass 5kg and cross-sectional area 10000cm2. The value of shear stress will be
1. 1 N/m2
2. 0.1 N/m2
3. 0.01 N/m2
4. 10 N/m2

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Best answer
Correct Answer - Option 4 : 10 N/m2

The correct answer is option 1) i.e. 10 N/m2.

CONCEPT:

  • Shear stress (σ): It is the amount of resistive force per unit area of a body generated due to an externally applied force.
    • Its SI unit is N/m2 and is represented by "σ".
    • It is given by the formula:

\(\Rightarrow σ = \frac{F}{A}\)

Where F = Force applied in Newton and A = area of the body in m2

CALCULATION:

Given: Force on the body (F) = 10N and Area of the body (A) = 10000cm2 = 1m2

  • Hence, the value of shear stress will be

\(\Rightarrow σ = \frac{F}{A}=\frac{10}{1}=10 \, Nm^{-2}\)

  • Shear stress (σ) = 10N/m2.

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