Ivor Miller, 27, who has learning difficulties, was chased by the group after one member called him "a beast".
The 27-year-old sought refuge in a derelict flat and jumped out a second floor window suffering severe injury.
At the High Court in Glasgow, judge Norman Ritchie QC ordered a 17-year-old man to be detained for six months.
The judge told the eight accused: "This whole incident, some of which was captured on CCTV, is extremely disturbing.
"The group, like a pack of animals, turned on an entirely innocent young man for no good reason other than he behaved differently because he has learning difficulties."
Three of those who pursued Mr Miller were originally charged with attempted murder.
Michael Clare, 21, from Airdrie, North Lanarkshire, and two 17-year-old youths, who cannot be named for legal reasons, had their guilty pleas to charges of assault accepted.
All three admitted attacking Mr Miller by chasing him into the common close at 52 Howard Street, Glasgow, on 4 August last year.
All three, and another 17-year-old youth, a 16-year-old girl, a 16-year-old youth and 23-year-old David Newlands, from Maryhill, Glasgow, admitted committing a breach of the peace and placing Mr Miller in a state of fear and alarm.
Newlands also pleaded guilty to punching Mr Miller on the head in the Hootenanny pub in Howard Street.
Jade Park, 19, from Glasgow, who sparked the incident by falsely calling Mr Miller "a beast" admitted punching him in Jamaica Street and in the Crystal Palace pub.
Judge Ritchie sentenced a 17-year-old male to six months detention for assault.
He deferred sentence on Park, who is about to give birth, until June for good behaviour and imposed a community payback order on all the others and ordered then to perform 150 hours unpaid work in the community.

Severn Trent issued a warning in Derbyshire and Leicestershire on Friday after it found high levels of the chemical at a reservoir.
About 3,700 properties are affected in postcode areas DE11, DE15, DE65, DE73 and LE65.
It is hoped the water will be safe to use later, although the firm said customers can now flush their toilets.
Latest updates: Severn Trent Water problems
Severn Trent has been handing out free bottles of water to affected customers at Sainsbury's in Swadlincote, Derbyshire, and Tesco in Ashby-de-la-Zouch, Leicestershire.
Nigel Thornylowe, who lives in Woodville with his two children, said it was a "nightmare".
"We got caught up in the frenzy yesterday and unfortunately... we haven't got any bottled water," he said.
"We've tried in vain but all the supermarkets have run out."
He said the situation had been poorly managed and bottles of water should be distributed at more locations than just the two supermarkets.
But other residents have been looking out for their neighbours with one couple filling up the water carrier in their caravan and distributing it to elderly neighbours.
And another woman said she coped on Friday night by "drinking spritzers" instead of water.
In a statement, the firm tried to reassure customers who may have drunk the water that, if they did not notice a strong chlorine smell or taste, then it was "unlikely to have caused any harm".
But it added that anyone with concerns should speak to a doctor.
"We're very sorry for the inconvenience this has caused but we want to reassure customers that this is a precautionary measure due to the levels of chlorine in the water supply," it said.
Eight people who chased a vulnerable man until he threw himself out of a flat window in Glasgow have been called a "a pack of animals" by a judge.
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Thousands of people are still being told they should not use their water because of high levels of chlorine.