Common problems with building hoists include mechanical failures such as broken cables or chains, malfunctioning brakes, and worn-out gears. Electrical issues like short circuits or damaged control panels can also occur. Safety hazards may arise from improper installation or maintenance, leading to accidents. Overloading the hoist can cause structural damage and failure. Environmental factors like extreme weather conditions can affect performance and longevity. Regular inspections and maintenance are crucial to prevent these problems and ensure the safe operation of building hoists.