NEET Physics — Mechanical Properties of Solids

A brass block of dimensions \( 0.6 \, \text{m} \times 0.4 \, \text{m} \times 0.2 \, \text{m} \) is subjected to a shearing force of \( 9 \times 10^4 \, \text{N} \). If the shear modulus of brass is \( 3.6 \times 10^{10} \, \text{N/m}^2 \), what is the shear strain?

A steel wire of length \( 2.7 \, \text{m} \) and cross-sectional area \( 2 \times 10^{-6} \, \text{m}^2 \) is stretched by \( 0.54 \, \text{mm} \). If the Young's modulus of steel is \( 2 \times 10^{11} \, \text{N/m}^2 \), what is the stress?

A rectangular slab of length 0.4 m, width 0.2 m, and thickness 0.1 m is subjected to a shearing force of 8 × 10⁴ N. If the shear modulus is 4 × 10⁹ N/m², what is the displacement of the upper face relative to the lower face?

A steel cable of radius 0.015 m is used to support a load. If the maximum stress it can withstand is 2 × 10⁸ N/m², what is the maximum load it can support? (Take π ≈ 3.14)

An aluminium block of dimensions \( 0.6 \, \text{m} \times 0.4 \, \text{m} \times 0.2 \, \text{m} \) is subjected to a shearing force of \( 8 \times 10^4 \, \text{N} \). If the shear modulus of aluminium is \( 2.5 \times 10^{10} \, \text{N/m}^2 \), what is the displacement of the top face?