A mountable device gets permissions based on who mounted it.
When a memory stick is mounted by root, it is available for read by all users, but they cannot write to it nor delete. For everyone to use the device, it is mounted R/W using mount flags.
Unmount that memory stick and have a user mount it, then it has read and write permission for that user.
See the mount command for more options.
See fstab for putting those options upon mounting directories.
I have a directory setup for each special device that I commonly use.
I then mount that directory, and through fstab it finds the device that should be mounted to it.
Make a directory /cdrom.
You could use the /Media/cdrom that is provided, but some other install programs use it, and also I do not like typing that long of a name to get to a root device.
Create a fstab line for the cdrom
/dev/cdrom /cdrom auto user,rw 0 0
>> mount /cdrom
This will find the entry with /cdrom and mount the device /dev/cdrom, with the filesystem "auto" (which is autodetect) using the flags "user,rw"
The cdrom will be mountable by users and will have R/W permissions.
Pay attention to the permissions of the directory used to mount a device.
It could restrict access if it is a restricted directory.