Taken from the Nebraska DMV Website.
A moped is defined as a device
bicycle with fully operative pedals for propulsion by human power, an automatic transmission and a motor not exceeding 50 cc that produces no more than two brake horsepower at a maximum design speed of no more than 30 miles per hour (§60-637).
Mopeds are exempt from titling and registration. They can be operated on public roads as long as the operator complies with the laws regarding mopeds and the pedals are not removed. The laws regarding the operation of mopeds are §60-6,309 thru §60-6,313.
While mopeds are exempt from titling and registering, if at any time the pedals are removed the vehicle becomes an off-road vehicle restricted to operation on private property unless it meets the minimum requirements of a motorcycle. If it meets the minimum motorcycle requirements then must be titled and registered for legal operation on public roads.
60-637. Moped, defined. Moped shall mean a device with fully operative pedals for propulsion by human power, an automatic transmission, and a motor with a cylinder capacity not exceeding fifty cubic centimeters which produces no more than two brake horsepower and is capable of propelling the device at a maximum design speed of no more than thirty miles per hour on level ground.
60-6,309. Moped; statutes; applicable. Mopeds, their owners, and their operators shall be subject to the Motor Vehicle Operator's License Act, but shall be exempt from the requirements of the Motor Vehicle Certificate of Title Act, the Motor Vehicle Registration Act, and the Motor Vehicle Safety Responsibility Act.
60-6,310. Moped; operation; license required. No person shall operate a moped upon a highway unless such person has a valid operator's license.
NOTE: A Class O (car) license is required to operate a moped on public roadways. - Taken from Page A of the Nebraska Motorcycle Operator Manual
60-6,311. Moped; operator; Nebraska Rules of the Road; applicable.
(1) Any person who rides a moped upon a roadway shall have all of the rights and shall be subject to all of the duties applicable to the driver of a motor vehicle under the Nebraska Rules of the Road except for special moped regulations in the rules and except for those provisions of the rules which by their nature can have no application.
(2) Regulations applicable to mopeds shall apply whenever a moped is operated upon any highway or upon any path set aside by the Department of Transportation or a local authority for the use of mopeds.
60-6,312. Moped; restrictions on operation.
(1) Any person who operates a moped shall ride only upon a permanent and regular seat attached to the moped. A person operating a moped shall not carry any other person nor shall any other person ride on a moped unless such moped is designed by the manufacturer to carry more than one person.
(2) A person shall ride upon a moped only while sitting astride the seat, facing forward.
(3) No person shall operate a moped while carrying any package, bundle, or other article which prevents him or her from keeping both hands on the handlebars.
(4) No operator shall carry any person, nor shall any person ride, in a position that interferes with the operation or control of the moped or the view of the operator.
(5) Any moped which carries a passenger shall be equipped with footrests for such passenger.
(6) No person shall operate any moped with handlebars more than fifteen inches above the mounting point of the handlebars.
60-6,313. Operating mopeds on roadways laned for traffic; prohibited acts.
(1) A moped shall be entitled to full use of a traffic lane of any highway with an authorized speed limit of forty-five miles per hour or less, and no vehicle shall be operated in such a manner as to deprive any moped of the full use of such lane, except that mopeds and motorcycles may be operated two abreast in a single lane.
(2) No person shall operate a moped between lanes of traffic or between adjacent lines or rows of vehicles.
(3) Mopeds shall not be operated more than two abreast in a single lane.
(4) Any person who operates a moped on a roadway with an authorized speed limit of more than forty-five miles per hour shall ride as near to the right side of the roadway as practicable and shall not ride more than single file.
(5) No person who rides upon a moped shall attach himself, herself, or the moped to any other vehicle on a roadway.
(6) Mopeds shall not be operated on the National System of Interstate and Defense Highways or on sidewalks.
(7) Notwithstanding the maximum speed limits in excess of twenty-five miles per hour established in section 60-6,186, no person shall operate any moped at a speed in excess of thirty miles per hour.
60-6,279. Protective helmets; required; when. A person shall not operate or be a passenger on a motorcycle or moped on any highway in this state unless such person is wearing a protective helmet of the type and design manufactured for use by operators of such vehicles and unless such helmet is secured properly on his or her head with a chin strap while the vehicle is in motion. All such protective helmets shall be designed to reduce injuries to the user resulting from head impacts and shall be designed to protect the user by remaining on the user's head, deflecting blows, resisting penetration, and spreading the force of impact. Each such helmet shall consist of lining, padding, and chin strap and shall meet or exceed the standards established in the United States Department of Transportation's Federal Motor Vehicle Safety Standard No. 218, 49 C.F.R. 571.218, for motorcycle helmets.