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JEE Main 20209 JanuaryMorning Shift
Exam
JEE Main
Year
2020
Date
9 January
Shift
Morning Shift
Subject
Physics
Chapter
Mechanical Properties of Solids

JEE Main 2020 · 9 January · Morning Shift · Physics · Mechanical Properties of Solids

A body of mass m = 10kg is attached to one end of a wire of length...

A body of mass m=10kgm = 10kg is attached to one end of a wire of length 0.3m0.3m. What is the maximum angular speed (in rads−1rad{s}^{- 1}) with which it can be rotated about its other end in a space station without breaking the wire?
[Breaking stress of wire (σ)=4.8×107Nm−2\left(\sigma\right)= 4.8 \times {10}^{7}N{m}^{- 2} and area of cross-section of the wire=10−2cm2= {10}^{- 2}c{m}^{2}]A body of mass m = 10kg is attached to one end of a wire of length 0.3m . What is the maximum angular speed (in rad s ^

Correct answer

4

Step-by-step solution

A body of mass m = 10kg is attached to one end of a wire of length 0.3m . What is the maximum angular speed (in rad s ^
TA=σ………………….(1)\dfrac{T}{A} = \sigma \ldots \ldots \ldots \ldots \ldots \ldots \ldots . \left(1\right)
T=mω2l………………….(2)T = {m \omega}^{2}l \ldots \ldots \ldots \ldots \ldots \ldots \ldots . \left(2\right)
Solving we get,
ω=4rads−1\omega = 4rad{s}^{- 1}
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