Quiz 7: Momentum Two Dimensional Rotational Dynamics: Problem Solving 8.01 Week 09D3Next Reading Assignment: W010D1 Experiment 4: Moment of Inertia and Angular CollisionsProblem Solving Strategy: Two Dimensional Rotation Step 1: Draw free body force diagrams for each object and indicate the point of application of each force Step 2: Select point to compute torque about (generally select center of mass) Step 3: Apply Newton’s Second Law and Torque Law to obtain equations Step 4: Look for constraint condition between rotational acceleration and any linear accelerations.Table Problem: Cross-section for Meteor Shower A meteor of mass m is approaching earth as shown on the sketch. The distance h on the sketch below is called the impact parameter. The radius of the earth is Re. The mass of the earth is me. Suppose the meteor has an initial speed of v0. Assume that the meteor started very far away from the earth. Suppose the meteor just grazes the earth. You may ignore all other gravitational forces except the earth. Find the impact parameter h and the cross section πh2 .Demo: Train B134 (1) At first the train is started without the track moving. The train and the track both move, one opposite the other. (2) Then the track is held fixed and the train is started. When the track is let go it does not revolve until the train is stopped. Then the track moves in the direction the train was moving. (3) Next try holding the train in place until the track comes up to normal speed (Its being driven by the train). When you let go the train remains in its stationary position while the track revolves. You shut the power off to the train and the train goes backwards. Put the power on and the train remains stationary. A small gauge HO train is placed on a circular track that is free to rotate.Discussion Homework Problem A toy locomotive of mass ML runs on a horizontal circular track of radius R and total mass MT . The track forms the rim of an otherwise massless wheel which is free to rotate without friction about a vertical axis. The locomotive is started from rest and accelerated without slipping to a final speed of v relative to the track. What is the locomotive’s final speed, vf , relative to the
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