Acharya Prashant explains that mental pressure and fear often arise because individuals identify themselves with the labels and limitations imposed by others, such as parents or society. He uses the analogy of a person who has tied their own leg and believes they are disabled because everyone else says so. Once the individual realizes this identification is false and 'cuts the rope,' they are no longer bound by external restrictions. He emphasizes that the struggle to break free involves resistance and effort, much like the initial difficulty of going to the gym, where the mind creates excuses to maintain the status quo of inertia.