Rolling Resistance: Problem Solving

1.1K views01:17 min

Consider a lawn roller of mass 100 kg and radius 25 cm. The roller arm extends at a thirty-degree angle to the horizontal axis.

Neglecting the friction developed at the axle, what force is required to move the roller at a constant speed, provided the coefficient of rolling resistance is 25 mm?

Assuming that the resultant driving force acting on the handle is applied along the arm, a free-body diagram of the roller indicating the weight, normal force, and driving force is drawn.

The driving force can be resolved into its horizontal and vertical components.

The system's geometry can be used to determine the angle between the normal force and the vertical axis.

The moment equilibrium condition is then applied to contact point O. By substituting the values of weight, components of the driving force and the corresponding perpendicular distances, estimates the driving force.

If a force with a magnitude much lesser than the driving force is applied, the roller does not move.

$$\rightleftharpoonup{xx}$$ $$\longleftharp{xx}$$, $$\longrightharp{xx}$$,

Rolling resistance, also known as rolling friction, is the force that resists the motion of a rolling object, such as a wheel, tire, or ball, when it…