PHY183-Lecture27 - Systems of Particles and Extended...

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March 6, 2006 1 Engineers 1 Spring Semester 2006 Lecture 27 March 6, 2006 2 Systems of Particles and Systems of Particles and Extended Objects Extended Objects ! In our previous discussions this semester we have always treated the location of objects as a single point “A car is located at x = 5.5 m…” ! Of course, the car is not ALL at x =5.5 m ! The natural choice for the location of the car is the center of gravity (center of mass) of the car ! The center of gravity of an object is the point in which we can imagine all of the mass of the object to be concentrated March 6, 2006 3 The Center of Gravity The Center of Gravity ! We support an object such that the object stays balanced and does not rotate ! There are only two forces The force of gravity The force of the pin supporting the object ! Equilibrium = forces are such that Net force is zero Net torque is zero => F g is attached directly below the supporting point ! Here, the center of gravity is marked with a red dot March 6, 2006 4 Effect of the Center of Gravity Effect of the Center of Gravity ! Suppose we support the same object from the same pin, but the center of gravity is not directly below the support point ! The forces are the same The forces still sum to zero ! However, now there is a net torque because the angle ! between the gravitational force vector and the
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This note was uploaded on 03/19/2008 for the course PHY 183 taught by Professor Wolf during the Spring '08 term at Michigan State University.

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PHY183-Lecture27 - Systems of Particles and Extended...

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