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CG PET SHM Equation — practice questions

Explore 1 free SHM Equation questions in CG PET Physics. Open each question or exercise to read its content, reference answers and available explanation.

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SHM Equation questions and exercises with answers

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An SHM is given by $x = 5\sin(4\pi t + \pi/4)$ cm. The displacement at $t = 0.25$ s is:Read the answer and worked solution →

Worked practice questions

An SHM is given by $x = 5\sin(4\pi t + \pi/4)$ cm. The displacement at $t = 0.25$ s is:

  1. $5$ cm
  2. $2.5\sqrt 2$ cm
  3. $-5/\sqrt 2$ cm
  4. $-5$ cm
Show answer and solution

Correct answer: C. $-5/\sqrt 2$ cm

At $t = 0.25$: argument = $4\pi(0.25) + \pi/4 = \pi + \pi/4 = 5\pi/4$. $\sin(5\pi/4) = -\sin(\pi/4) = -1/\sqrt 2$. **So $x = 5 \times (-1/\sqrt 2) = -5/\sqrt 2$ cm.**

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