Mr. Potato Head: Ages three and up! It's on my box! Ages three and up! I'm not supposed to be babysitting Princess Drool!
Mr. Potato Head: Oh, really? I'm from Playskool.
Rex: And I'm from Mattel. Well, I'm not really from Mattel, I'm actually from a smaller company that was purchased by Mattel in a leveraged buyout.
Hamm: Yes, sir, we're next month's garage sale fodder for sure.
Buzz Lightyear: I tell you I can fly around this room with my eyes closed.
Woody: Alright then, Mr. Lightbeer, prove it.
Slinky Dog: It's Sid!
Rex: I thought he was at summer camp!
Hamm: They must've kicked him out early this year.
Sid Phillips: No-one has ever attempted a double bypass brain transplant before. Now for the tricky part. [Off-screen] Pliers!
Woody: What chance does a toy like me have against a Buzz Lightyear action figure?
Woody: Wait a minute, I just lit a rocket... Rockets explode!
Rex: What if Andy gets another dinosaur? A mean one? I just don't think I can take that kind of rejection!
[Andy is opening his birthday presents.]
Mr. Potato Head: Mrs. Potato Head, Mrs. Potato Head.
[Sees the other toys looking at him.]
Mr. Potato Head: Hey, I can dream, can't I?
Buzz Lightyear: To infinity...and beyond!
Answer: This is a Disney/Pixar production, at no point are they intimating that kind of a relationship between son and father. If anything, the father simply doesn't care what his son gets up to so long as he isn't disturbed by it. Any other inferences you get from the movie are for you to contend with, but the family nature of the movie would suggest beating/abuse is not the answer.
GalahadFairlight