Start learning →

JEECUP (UP Polytechnic) SHM Forms — practice questions

Explore 1 free SHM Forms questions in JEECUP (UP Polytechnic) Physics. Open each question or exercise to read its content, reference answers and available explanation.

Practise SHM Forms with Quill →

SHM Forms questions and exercises with answers

Showing questions 1–1 of 1.

A particle in SHM has displacement $x = a\cos(\omega t) + b\sin(\omega t)$. The amplitude of motion is:Read the answer and worked solution →

Worked practice questions

A particle in SHM has displacement $x = a\cos(\omega t) + b\sin(\omega t)$. The amplitude of motion is:

  1. $|a| + |b|$
  2. $\sqrt{a^2 + b^2}$
  3. $\sqrt{a^2 - b^2}$
  4. $\max(|a|,|b|)$
Show answer and solution

Correct answer: B. $\sqrt{a^2 + b^2}$

**Express as single sinusoid:** $x = R\sin(\omega t + \phi)$ with $R\sin\phi = a$ and $R\cos\phi = b$. So $R^2 = a^2 + b^2$ ⇒ $R = \sqrt{a^2+b^2}$. (Classic Asin + Bcos identity.)

Open this question →

How to practise

  1. Choose a SHM Forms question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

More Physics topics

MagnetismKinetic Theory of GasesCurrent ElectricityWork and EnergyWork and PowerMagnetism and MatterElectromagnetismOptics