Is it possible to allow the User Account to access the 'Volumes' without asking the Administrator's password?

Question

Am the administrator of my Ubuntu system. Recently I added a new user account. But when ever the user tries to access or open the 'Volumes'(Drives where movies, songs and other files are stored) it asks for the Administrator's password. I created the user account to my other family members and I don't want to tell them my password.

So is it possible to allow them to access the Volumes without asking Administrator's password ?

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UPDATE 1:

Ubuntu was installed alongside Windows in my system. I will provide a screenshot of the Volume details -

UPDATE 2:

Answer 1

First install sudo apt-get install gnome-system-tools

Than open the account manager:

Click on "Manage Groups" then create a new group and add your two users:

(if you don't want to install a GUI for groups you can create a new group from command line)

Now we have to change the /etc/fstab run:

gksu gedit /etc/fstab 

and add for the first Volume (at the end of the file):

/dev/sda5 /media/Volume1 ntfs rw,auto,user,exec,nls=utf8,dmask=027,fmask=137,gid=1002,uid=1000 0 2

"gid" must be the group id from your new group.

"dmask" are the permissions for the directories:

• 0 at the beginning is for the owner (in this case the user with the id 1000 should be your admin user) he has all permissions ( 0 -> read, write and execute)
• 2 as the second digit is for all users in the group 1002 ( 2 -> read and execute)
• 7 at the end is for others ( 7 -> no permissions )

"fmask" are the permissions for the files: 1 -> read and write 3 -> read only 7 -> no permissions

For more info look also at this answer https://askubuntu.com/a/54324/265974

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Edit:

Mountpoints for the other partitions:

/dev/sda6 /media/Volume2 ntfs rw,auto,user,exec,nls=utf8,dmask=027,fmask=137,gid=1002,uid=1000 0 2
/dev/sda7 /media/Volume3 ntfs rw,auto,user,exec,nls=utf8,dmask=027,fmask=137,gid=1002,uid=1000 0 2