explanation10.pdf - Module 3: Week 10 Rotational Dynamics,...

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Module 3:Week 10 RotationalDynamics, Angular Momentum, &Universal Gravitation
Rolling or Not?Activity 1: TO BE SUBMITTED AS INDIVIDUAL WORKTwo ramps are located in your lab classroom.One is very rough and the other isfrictionless.A solid sphere, with mass࠵? = 0.5 kgand radius࠵? = 0.5cm, isreleased from rest from the top of each ramp. The moment of inertia of the solidsphere about its central axis is I = 2 m r2/5.Each ramp has the following parameters:ℎ = 1 m࠵? = 1.73 m
Identify the Big Ideas and Justifications that apply to the situations described in thetable.You do not have to answer or solve each situation,SituationThe initial potential energy,࠵?!"!, of each sphere.Big Idea:Definition of Potential EnergyThe total kinetic energy,࠵?!"!, of each sphere at the bottom of the ramp.Big Idea & Justification:Conservation of EnergyConservation of energy is used to compare potential to kinetic energy.The rotational kinetic energy,࠵?#, of each sphere at the bottom of the ramp.Big Idea:Definition of Rotational Kinetic EnergyThe translational kinetic energy,࠵?$, of each sphere at the bottom of the ramp.Big Idea & Justification:Conservation of Energy Or Definition of Kinetic EnergyThe sum of rotational and translational kinetic energy must equal the total kineticenergy.OrThe center-of-mass speed can be used to calculate the translational kineticenergy.The angular speed of each sphere at the bottom of the ramp.Big Idea & Justification:Rotational KinematicsRotational kinematics are used to answer questions about angular speeds anddisplacements.The angular acceleration of each sphere.Big Idea & Justification:Conservation of Energy And Rotational KinematicsConservation of energy together with the definition of angular speed will allow usto find the angular speed of the sphere.Angular kinematics will allow us to findthe angular acceleration.
Compute the translational kinetic energy,࠵?$, for each sphere at the bottom of the ramp.
Plan StepAction Step StaticAction Step Frictionless1. Use the definition ofpotential energy tofind the potentialenergy for eachsphere at the top ofthe ramp.

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