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JEE Main 202227 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
27 July
Shift
Morning Shift
Subject
Physics
Chapter
Mechanical Properties of Solids

JEE Main 2022 · 27 July · Morning Shift · Physics · Mechanical Properties of Solids

A square aluminium (shear modulus is 25 × 10 ^ 9 Nm ^ - 2 ) slab of...

A square aluminium (shear modulus is 25×109Nm−225 \times {10}^{9}{Nm}^{- 2}) slab of side 60cm60cm and thickness 15cm15cm is subjected to a shearing force (on its narrow face)of18.0×104Nof 18 . 0 \times {10}^{4}N. The lower edge is riveted to the floor. The displacement of the upper edge is _____ \mum\mum.

Correct answer

0

Step-by-step solution

Shearing stress is given by FA=ηxl\dfrac{F}{A} = η\dfrac{x}{l}

Thus, displacement is x=FlAηx = \dfrac{Fl}{Aη}

⇒x=18×104×60×10−260×10−2×15×10−2×25×109⇒ x = \dfrac{18 \times {10}^{4} \times 60 \times {10}^{- 2}}{60 \times {10}^{- 2} \times 15 \times {10}^{- 2} \times 25 \times {10}^{9}}

=48×10−6m=48\mum= 48 \times {10}^{- 6}m = 48\mum

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