Learn English – What does ‘a hairline crack where the grip meets the graphite shaft on the 3-wood’ mean in this English joke

meaning-in-contextsentence-meaningterminology

Guys,

I have suspected for some time now that my wife has been cheating on me. I think deep down I just did not want to know the truth, but last night she
went out again and I decided to finally check on her.

Around midnight, I hid in the garage behind my golf clubs so I could get a
good view of the whole street when she arrived home from a night out with
'the girls. '

When she got out of the car she was buttoning up her blouse, which was
open, and she took her panties out of her purse and slipped them on.

It was at that moment, crouching behind my golf clubs, that I noticed a
hairline crack where the grip meets the graphite shaft on my 3-wood
.

Is this something I can fix myself or should I take it back to the pro-shop
where I bought it?

What does that sentence mean in this English joke?

Edit: It surprises me that this question would get many comments and upvotes, thanks folks. I feel compelled to write an explanation. The reason I think this question isn't off-topic basic on:

I never seen a real and clear golf club in my life, so when I look up those words, it quite stuck me there, because I can't form an image of what it specifically look like in details on my mind; In situation to understand something that's not exist to you before with a Dictionary seem very hard, because you has to form a concept of it from nearly nowhere. For example, if you are a Mandarin learner, when you encounter words like '礼金', '奶金', you might have a hard time to understand that even if you look them up in dictionary, because, as far as I know, there isn't similar concepts of them in English, that's where you might need to ask someone who understand Mandarin for an explanation, and understand the background and culture of those words that usually doesn't defined on a dictionary.

Best Answer

A "hairline crack" is a very thin crack that threatens the integrity of some object.
Hairline crack in a tabletop

The "grip" is where you hold the golf club.
golf club grip

The "graphite shaft" is the long part of the club, which these days is frequently made from graphite not wood:

graphite golf club shafts

A 3-wood is a particular kind of golf club used for hitting the ball long distances:

head of a 3-wood

The man says the crack is "between the shaft and the grip". I'm not a golfer but I assume this means the grip might come loose from the rest of the club, or at the very least, affect how well the club hits the ball:
parts of a golf club

The joke is that the man is more concerned about his golf clubs than his marriage. It uses a comedic device known as a "reversal" or "switcheroo", in which the reader expects the story to go one direction, but it actually leads to an unexpected conclusion.

I also slightly edited your question to include the initial "Guys" from the original. The joke is more humorous in the context of someone telling his story to some kind of newspaper or online "advice column".