The object shown in the figure below consists of a thin rod

Last updated: 6/9/2023

The object shown in the figure below consists of a thin rod of length 22 8 cm and mass m 1 20 kg with a solid ball of diameter d 10 0 cm and mass M 2 00 kg attached to its top The object is free to pivot about a frictionless axle through the bottom of the rod The object is initially vertical and at rest when it starts to rotate clockwise e m M i a After the combination rotates through 90 degrees what is its rotational kinetic energy in J 6 94 X How can you apply conservation of energy to the system of the object and Earth What types of energy are changing What are the positions of the centers of mass of the rod and the ball What is the change in height of each J b What is the angular speed in rad s of the rod and ball 8 75 rad s c What is the linear speed in m s of the center of mass of the ball 17 5 X How is angular speed related to linear speed What is the distance from the pivot to the center of mass of the ball m s d How does it compare with the speed had the ball fallen freely through the same distance of 27 8 cm Express your answer as a percentage