1112_chap18

# 1112_chap18 - ME240:Dynamics Ch Chap.18PlanarDynamicsof RigidBodies ME240 Agenda 18. 18. Ch.18Problems HW:18.10 Supplemental:18.1,18.8

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ME 240: Dynamics Chap. 18 Planar Dynamics of igid Bodies Rigid odies

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d ME 240 Agenda: 18.1 Momentum principles for a system of particles 18.2 The planar equations of motion Ch. 18 Problems HW: 18.10 Supplemental: 18.1, 18.8
Center of Mass (COM) What is the center of mass of a rigid body? G Object wont tip (or rotate) if suspended by the COM. Why? g

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COM System of Particles Vector representation of center of mass position: ˆ i ii i i mx m y mz  G r mmm   ij k 1 Gi rm r m i  e acceleration of the COM: 1 i m a The acceleration of the COM: G a ma am m i iG i
Newton’s 2 nd Law –Planar Translation m a Newton’s 2 nd Law ( single particle ) ii i Fm Newton’s 2 nd Law ( sum of particles ) nn m a   11 i n n 0   internal external 1 i i i FF m a =0

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Newton’s 2 nd Law –Planar Translation = Rigid body is equivalent to system of particles that are fixed together:  external 1 nn ii i i Fm a  11 iG ma i a Translation
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## This note was uploaded on 02/07/2011 for the course M E 240 taught by Professor Staff during the Spring '08 term at Wisconsin.

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1112_chap18 - ME240:Dynamics Ch Chap.18PlanarDynamicsof RigidBodies ME240 Agenda 18. 18. Ch.18Problems HW:18.10 Supplemental:18.1,18.8

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