What are the meanings of these two phrases?

[Sylphidae]

1.) Beat it.

Diego: If you're lookin' for the humans, you're wastin' your time. They left.

Manfred: Thanks for the advice. Now beat it.

2.) Drop it on the ledge.

Sid: All right, you have fat hair. But when you're ready to talk, I'm here.

Manfred: What are you doin'? Just drop it on the ledge.

Thanks.

[Mister Micawber]

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#1-- beat it = go away

#2-- I've no idea, sorry. I don't understand 'fat hair' either.
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Native English teacher at Mister Micawber's