I just did the following test:
1. New scene.
2. ALT+SHIFT+S, ALT+SHIFT+C.
3. Changed the whole UI to be on the Default layer, deleted the main camera, made the UI camera draw the Default layer instead and changed its clear flags to Skybox.
4. Turned off "Trigger" on the sprite.
5. Added a rigidbody to the sprite.
6. Duplicated the sprite.
7. Moved the second sprite down, tilted it, and enlarged it to create a wide platform.
8. Checked the "kinematic" flag on the 2nd sprite.
9. Unchecked "Collider" option on the widget so that collider size wouldn't be reset.
10. Changed the collider's Z to 100 to give it volume.
11. Hit Play, one sprite falls on top of the other and stays there.
My guess is you forgot #9.