Rolling Motion Explained (with an emphasis on Slipping and Skidding cases)
Rolling motion, often confused by many students, is a combined motion of translation and rotation. A system which translates while rotating about its own center of mass is said to be going under rolling motion.
If the rotational part of the motion is faster than the motion of the system as a whole (i.e. the translation part of the motion), then, the motion is a rolling motion with slipping. On the other hand, if translation is faster than rotation, the rolling motion involves skidding of the system.
When the rotation is connected to translation, the system neither slips nor skids. Rolling without slipping / skidding is a critical phenomenon and needs to be discussed explicitly. "Arif Solves It" provide a thorough discussion of the topic including the major mathematical framework of the topic.
00:15 Introduction to Rolling Motion
05:37 The difference between Slipping, Skidding and No slipping / skidding rolling motions
09:49 Kinetic Energy expression for the rolling motion and rolling without slipping seen as pure rotation
13:17 Rolling Motion without slipping condition derived using differential calculus concepts
16:53 Work done by Static friction for the case of rolling without slipping
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