Answer:
The music and the art of the 1960s both had in common that they were countercultural movements. This means that the music and art of this decade had as one of its main motivations, the critique of the cultural norms of the era.
A connection between a musician and and an artist of the epoch can be drawn between the rock band the Velvet Underground, and plastic artist Andy Warhol. They both had a common theme of criticizing the pop culture of the time, while being part of the same pop culture, so it was a critique from inside. Besides, the two of them knew each other.