General Planar Motion with a Center of Mass Reference

 

 

Kinetics of rolling

 

A common type of rigid-body motion that involves translation and rotation is rolling.

 

 

When solving a rolling problem, you need to check if there is slip between the rolling object and the ground. The first step in determining whether or not there is slip is to assume that there is no slip and calculate the static friction force at the rolling interface.

 

• Slip: If the static friction force surpasses its maximum value (i.e F_fs > F_fs,max ), then there is slip. In this case, the friction at the rolling interface is kinetic (i.e. F_fk = μ_kN ).
• No slip: If the static friction force has not reached its maximum value (i.e F_fs < F_fs,max ), then there is no slip. In this case, the friction at the rolling interface is static.