circular

transverse

longitudinal

There is a long wire between two posts on a fence. I wiggle the wire left and right and send a wave traveling to the other post. This is a longitudinal wave.

A sound speaker has a flat part that vibrates, alternately pushing the air forward and pulling to back.

This sends out a wave of high and low pressure air, which our ears interpret as sound. This is a

Earthquakes send out different kinds of waves. Rayleigh waves only travel on the surface. If a

Rayleight wave moves to the right, the ground will wiggle up and down as well as left and right. This is a $q,$ wave.

Earthquakes send out different types of waves. If a Love wave is moving forward, the ground will shake left and right as it passes. this is a $q,$ wave.

There a slinky $($or spring$)$ stretched out left to right between two friends. The person on the left pushes the slinky left and right, and then watches the pulse travel through the slinky left to right. This is a $q,$ wave.