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BITSAT 2023Paper 1
Exam
BITSAT
Year
2023
Paper
Paper 1
Subject
Physics
Chapter
Rotational Motion

BITSAT 2023 · Paper 1 · Physics · Rotational Motion

A disc is rolling without slipping on a surface. The radius of the...

A disc is rolling without slipping on a surface. The radius of the disc is RR. At t=0t=0, the top most point on the disc is A\mathrm{A} as shown in figure. When the disc completes half of its rotation, the displacement of point AA from its initial position is
A disc is rolling without slipping on a surface. The radius of the disc is R . At t=0 , the top most point on the disc

Options

  1. A\mathrm{R} \sqrt{\left(\pi^2+4\right)}
  2. B\mathrm{R} \sqrt{\left(\pi^2+1\right)}
  3. C2R2 \mathrm{R}
  4. D2 \mathrm{R} \sqrt{\left(1+4 \pi^2\right)}

Correct answer

A. \mathrm{R} \sqrt{\left(\pi^2+4\right)}

Step-by-step solution

(a) From figure,
A disc is rolling without slipping on a surface. The radius of the disc is R . At t=0 , the top most point on the disc

Displacement,
BA=(2R)2+(πR)2=R4+π2\mathrm{BA}=\sqrt{(2 \mathrm{R})^2+(\pi \mathrm{R})^2}=\mathrm{R} \sqrt{4+\pi^2}
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