Final answer:
Bob Dylan's album "The Times They Are A-Changin'" marked his rise in popularity as a vocal artist who used his music to inspire social change during the 1960s, especially in matters of civil rights and opposition to the Vietnam War.
Step-by-step explanation:
The male vocal artist who became increasingly popular after the debut of his album, "The Times They Are A-Changin'," is Bob Dylan. Dylan's music resonated with the sentiments of the 1960s, where he became an icon of social change through his protest songs. His influence was not just limited to his fans but extended to shaping social attitudes towards the civil rights movement and opposition to the Vietnam War.
In a time of American political turmoil that included events like the civil rights rallies, the Vietnam War, and student riots, his music like "A Hard Rain's A-Gonna Fall" and "Masters of War" echoed the voice of a generation seeking change.