Final answer:
The most feasible way to capture volatile memory for forensic purposes on a Linux OS is by using a loadable kernel module capture utility, such as LiME.
Step-by-step explanation:
The most feasible way to capture volatile memory from a running machine for forensic purposes on a Linux OS is by using a loadable kernel module capture utility, such as LiME. LiME (Linux Memory Extractor) is a widely used tool that allows for the comprehensive capture of a machine's volatile memory. It works by creating a copy of the memory directly from the kernel, providing a forensically sound image for analysis.