Everywhere is completely different in the USA.
Like by me it goes something like this:
-Municipal Police:
-"Real" Policing
-Traffic Details
-In their town and in their counties.
-911 calls to houses
-Town Patrols
-Mutual Aid
-If called into another town for assistance their jurisdiction expands
-it also expands if they are chasing a fugitive or if they go in under an extreme emergency (officer down, etc.)
-School Resource
-K9
-Can be called as mutual aid to other towns.
-Motorcycle
-What you imagine a typical Dept. to do.
-Should not be taking police action outside of their town off duty. To avoid this, they will detain people until the town's police shows up and they will conduct all the further police action and the off duty will be a witness. The courts just sort of roll their eyes at this and let it slide.
-Sheriff:
-Jails and Courts
-Jails: Anybody waiting for a court date or has a sentence under 2.5 years
-Court Security
-Inmate Transport
-Traffic Details.
-They may not patrol, but they are still classified under Law Enforcement officers, so they can fill traffic details anywhere in their county.
-K9
-Exactly like the municipal K9 except instead of patrolling a town on duty, they patrol a cell block.
-Motorcycle
-They'll have motorcycles for events such as parades and funerals or other things. They do not patrol like a town motorcycle would.
-Parole Officers
-Manage Parolees and what their conditions are
-Can do random check ups on their parolees
-Can arrest any parolee if they violate their conditions or the law
-typically unarmed
-Forensics
-Sheriff Dept typically covers Crime Scene and Evidence analyzing for the whole county
-Will detain and wait for on duty police to show up. They can only detain in most counties anyways if they are on a traffic detail or something.
-University Police:
-Can range from security guard to fully sworn police officer.
-limits in jurisdiction are campus(s)
-Will detain and wait for on duty police to show up, wherever they may be. If they are not LEOs it will be a citizen's arrest.
-District Attorney's Office:
-These Laweyers are law enforcement classified as well even though they have no police power, just try and put the bad gus behind bars. They can investigate from the limits of their office. They can review evidence, file warrants, etc.
-For the field part, task forces are assigned to each district, comprising of State, Sheriff and Municipal officers.
-Law Enforcement Councils:
-Municipal and Sheriff Departments can apply and pay to be appart of Law Enforcement Councils
-They will run an Emergency Team which can be used for search and rescue or deployed for riots (with respective gear)
-Typically run a SWAT Team, much like the Emergency Team, it will comprise of officers from several depts and once on the team, rank from their original dept does not apply. Team Rank takes over.
-Several have bicycle teams
-Manage Motorcycles and will practice together.
-K9 Councils:
-All K9s will be a part of the council of whichever district they fall under, this includes all K9s. From bombs, to drugs, to patrol or search and rescue, they are all a part of it.
-Will all train together every month.
-State Police:
-Have statewide jurisdiction, but they are not assigned many places.
-Highway Patrol
-Patrol State Property
-Run a Police Academy (they will host one for troopers, but also two other kinds: a reserve academy for auxiliaries (shorter and less academy BS), and a municipal academy which is exactly like the trooper one, the just go back to their respective departments afterwards and not become troopers.)
-Helicopter
-In rural areas, they will have a trooper or two assigned to patrol. This means one trooper for about 15 small towns, it's horrible.
-Many state and metro law enforcement agencies were adsorbed by the state police in the 90s. The state police being the hotshots that they are, are still upset about this.
-Can make arrests on or off duty anywhere in the state.
-Environmental Police (state): (aka the best damn job in the world)
-Statewide Jurisdiction
-lead investigator for all maritime incidents whether it be crashes or crimes. (They only intervene in someone else's investigation if they have to or are requested, state police and municipal police have maritime divisions too)
-Set Patrol districts for officers, can contain several parks.
-Can make arrests on or off duty anywhere in the state.
-Department of Corrections (state):
-Prison (WOOO FUN)
-Anybody serving a sentence longer than 2.5 years.
-K9 (just like sheriff except state wide)
-Inmate Transport
-LOL how's it feel to have no police power outside your cell block?
-still classified as LEOs, but much like off duty municipals or deputies, they would detain and wait for on duty police to show.
-Federal:
-F*** you and lets make this situation ten times more difficult for everyone involved.
Thanks to an executive order (think this is true as of now, could be wrong) anybody classified as a Law Enforcement Officer, that is recognized by the federal government as an LEO, can Legally Carry in all 50 US states. Arrests or other police action, is a whole different story.