PHY183-Lecture21 - 1 Physics for Scientists &...

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Unformatted text preview: 1 Physics for Scientists & Physics for Scientists & Engineers 1 Engineers 1 Physics for Scientists & Physics for Scientists & Engineers 1 Engineers 1 March 1, 2011 Physics for Scientists&Engineers 1 1 Spring Spring Semester Semester 2011 2011 Lecture Lecture 21 21 Center of Mass Center of Mass 2 Center of Mass and Center of Gravity Center of Mass and Center of Gravity Center of Mass and Center of Gravity Center of Mass and Center of Gravity s 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 s Of course, the car is not ALL at x =5.5 m s The natural choice for the location of the car is the center of mass of the car he center of mass of an object is defined as March 1, 2011 Physics for Scientists&Engineers 1 2 s The center of mass of also the point at which we can imagine the force of gravity acting Center of gravity The center of mass of an object is defined as the point at which we can imagine all the mass of an object to be concentrated. 3 Combined Center of Mass for Two Objects Combined Center of Mass for Two Objects Combined Center of Mass for Two Objects Combined Center of Mass for Two Objects s We have two identical objects of equal mass and want to find the center of mass for the combination of the two The center of mass lies exactly midway between the individual centers of mass of the two objects s If one object is more massive than the other object, the center of mass will be closer to the more massive one s The general formula for calculating the location of the center of mass for two masses is March 1, 2011 Physics for Scientists&Engineers 1 3 1 1 2 2 1 2 + = + a a a r m r m R m m 4 Clicker Quiz Clicker Quiz Clicker Quiz Clicker Quiz s In figure above, M represents the center of mass of a system of two masses m 1 and m 2 . What can we say about he relative magnitude of the two masses nd March 1, 2011 Physics for Scientists&Engineers 1 4 the relative magnitude of the two masses m 1 and m 2 ? A . m 1 < m 2 B . m 1 > m 2 C . m 1 = m 2 D. Based solely on the information given in this figure, it is not possible to decide which of the two masses is larger 5 Clicker Quiz (Solution) Clicker Quiz (Solution) Clicker Quiz (Solution) Clicker Quiz (Solution) s In figure above, M represents the center of mass of a system of two masses m 1 and m 2 . What can we say about he relative magnitude of the two masses nd March 1, 2011 Physics for Scientists&Engineers 1 5 the relative magnitude of the two masses m 1 and m 2 ?...
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PHY183-Lecture21 - 1 Physics for Scientists &...

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