I have trouble visualizing simple harmonic motion, and remembering all the related equations. How should I think about it?

The key is to realize that displacement, velocity and acceleration all vary sinusoidally, with the graph of each being displaced relative to the preceding one by 90 degrees; thinking about these three graphs, and how they describe the motion of a horizontal mass-spring system, will give you an intuitive understanding of the dynamics of simple harmonic motion (SHM).Knowing the defining equation of SHM, a = -w2x, and remembering that x, v and a are all sine or cosine functions, you can derive all the equations by simply applying Newton's laws to the system. Do this once, and see how each equation arises from the underlying physics; this will help you remember them, because you'll know what they mean and why they're true.

GC
Answered by Gianluca C. Physics tutor

1762 Views

See similar Physics A Level tutors

Related Physics A Level answers

All answers ▸

Single electrons travelling at 550 ms^-1 are passed through a diffraction grating with a spacing between the slits of 2.5 micrometers. What would the angle between the zeroth and first maximum of the resulting interference pattern be?


When a particle travels in a circle of radius r, at constant speed v, what is its acceleration


An aeroplane lands on the runway with a velocity of 50 m/s and decelerates at 10 m/s^2 to a velocity of 20 m/s. Calculate the distance travelled on the runway.


An ideal gas within a closed system undergoes an isothermal expansion from an initial volume of 1m^3 to 2m^3. Given that the initial pressure of the gas is 10^5 Pa, find the final pressure of the gas following the expansion.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning