2. Waves and Oscillations

Simple Harmonic — Quiz

Test your understanding of simple harmonic with 5 practice questions.

Practice Questions

Question 1

In simple harmonic motion, which graph best represents the relationship between acceleration $a$ and displacement $x$?

Question 2

Given a mass–spring oscillator with displacement $x(t)=A\cos(\omega t+\phi)$, if $x(0)=0$ and initial velocity $v(0)=+A\omega$, what is the phase constant $\phi$?

Question 3

Starting from equilibrium with maximum velocity, how long does it take for a mass in SHM to reach a displacement of $x=A/2$?

Question 4

Which equation represents the phase‐space trajectory (velocity $v$ vs. displacement $x$) for undamped SHM of amplitude $A$ and angular frequency $\omega$?

Question 5

A particle moves in uniform circular motion of radius $A$ and angular speed $\omega$. Its projection onto a diameter executes simple harmonic motion with what amplitude and period?