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JEE Main 201815 AprilEvening ShiftOnline
Exam
JEE Main
Year
2018
Date
15 April
Shift
Evening Shift
Mode
Online
Subject
Physics
Chapter
Laws of Motion

JEE Main 2018 · 15 April · Evening Shift · Online · Physics · Laws of Motion

A disc rotates about its axis of symmetry in a hoizontal plane at a...

A disc rotates about its axis of symmetry in a hoizontal plane at a steady rate of 3.53.5 revolutions per second. A coin placed at a distance of 1.25 cm1.25 \mathrm{~cm} from the axis of rotation remains at rest on the disc. The coefficient of friction between the coin and the disc is (g=10 m/s2)\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2\right)A disc rotates about its axis of symmetry in a hoizontal plane at a steady rate of 3.5 revolutions per second. A coinA disc rotates about its axis of symmetry in a hoizontal plane at a steady rate of 3.5 revolutions per second. A coin

Options

  1. A0.50.5
  2. B0.70.7
  3. C0.30.3
  4. D0.60.6

Correct answer

D. 0.60.6

Step-by-step solution

Using, μmg=mv2r=mrω2ω=2πn=2π×3.5=7πrad/sec\mu m g=\frac{m v^2}{r}=m r \omega^2\omega=2 \pi n=2 \pi \times 3.5=7 \pi \mathrm{rad} / \mathrm{sec} Radius, r=1.25 cm=1.25×10−2 mr=1.25 \mathrm{~cm}=1.25 \times 10^{-2} \mathrm{~m} Coefficient of friction, μ=\mu= ? \mu m g=m(rω)2r(∵\frac{m(r \omega)^2}{r}(\becausev=r ω)<imgsrc="/api/proxy−image?url=https\omega)<img src="/api/proxy-image?url=https%3A%2F%2Ffirebasestorage.googleapis.com%2Fv0%2Fb%2Fquantrexacademy-app.firebasestorage.app%2Fo%2Fquestions%252Ffigs%252Fpyq%252Fjee_main%252F1Xab-Fppyfdxc4xAOFjxuM5hgcZzSg4IkXeeoc-kYb4.original.fullsize.png%3Falt%3Dmedia&clean=1&v=wm2" data-qx-orig-src="https://firebasestorage.googleapis.com/v0/b/quantrexacademy-app.firebasestorage.app/o/questions%2Ffigs%2Fpyq%2Fjee_main%2F1Xab-Fppyfdxc4xAOFjxuM5hgcZzSg4IkXeeoc-kYb4.original.fullsize.png?alt=media" data-qx-storage-src="https://firebasestorage.googleapis.com/v0/b/quantrexacademy-app.firebasestorage.app/o/questions%2Ffigs%2Fpyq%2Fjee_main%2F1Xab-Fppyfdxc4xAOFjxuM5hgcZzSg4IkXeeoc-kYb4.original.fullsize.png?alt=media"> \\ \begin{gathered} \Rightarrow \quad \mu=\frac{r \omega^2}{g}=\frac{1.25 \times 10^{-2} \times\left(7 \times \frac{22}{7}\right)^2}{10}\\ =\frac{1.25 \times 10^{-2} \times 22^2}{10}=0.6 \end{gathered}
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