A wrapping assembly includes: a material roll configured to hold a roll of wrapping material; a duckbill assembly including a duckbill carrying a duckbill roll and configured to draw material from a roll of wrapping material held by the material roll; a duckbill actuator coupled to the duckbill to move the duckbill between an insert position and a home position; a variable brake associated with the material roll and configured to apply a variable braking force to the material roll; and a controller operatively coupled to the duckbill actuator and the brake. The controller is configured to: determine an averaged electric current draw of the duckbill actuator during a sampling period is below a defined value and responsively output a brake increase signal so the brake increases applied braking force to the material roll by a defined amount.