I am guessing that your second drive has an NTFS volume on it, and that you’ve got Windows Fast Boot enabled. If you do that, then Windows will not properly shut down its filesystems, and then the Linux kernel will regard them as “damaged”, and will mount them read-only so as to prevent further damage.
If the above is not the case ─ e.g. if the filesystem in question is a Linux-native filesystem, like e.g. ext4 ─ then please see this tutorial below…