Pin L M Problem 1 A long uniform rod of length L and mass M

Last updated: 5/2/2023

Pin L M Problem 1 A long uniform rod of length L and mass M is pivoted about a frictionless horizontal pin through one end The rod is nudged to the right from rest in a vertical position as shown in the figure above on the left The moment of inertia of the rod about the pin is I MI2 At the instant the rod is horizontal find its angular speed w Answer w 3g L Problem 2 A string is wound around a uniform disk of radius R and mass M The disk is released from rest with the string vertical and its top end tied to a fixed bar see figure above on the right The moment of inertia of a disk is IMR and as the disk descends it rolls without slipping v R What is the the speed of the center of mass of the disk after the disk has descended through a distance b