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JEE Main 2007
Exam
JEE Main
Year
2007
Subject
Physics
Chapter
Oscillations

JEE Main 2007 · Physics · Oscillations

The displacement of an object attached to a spring and executing...

The displacement of an object attached to a spring and executing simple harmonic motion is given by x=2×10−2cos⁡πtx=2 \times 10^{-2} \cos \pi t metres. The time at which the maximum speed first occurs is

Options

  1. A0.5 s0.5 \mathrm{~s}
  2. B0.75 s0.75 \mathrm{~s}
  3. C0.125 s0.125 \mathrm{~s}
  4. D0.25 s0.25 \mathrm{~s}

Correct answer

A. 0.5 s0.5 \mathrm{~s}

Step-by-step solution

x=2×10−2cos⁡πtv=−0.02πsin⁡πt\begin{aligned} & \mathrm{x}=2 \times 10^{-2} \cos \pi t \\ & \mathrm{v}=-0.02 \pi \sin \pi t \end{aligned}\mathrm{v}ismaximumatis maximum at\mathrm{t}=\frac{1}{2}=0.5 \mathrm{~sec}$
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