p111_lecture18

p111_lecture18 - Chapter 9 Rotational Dynamics 9.3 Center...

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Chapter 9 Rotational Dynamics
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9.3 Center of Gravity DEFINITION OF CENTER OF GRAVITY The center of gravity of a rigid body is the point at which its weight can be considered to act when the torque due to the weight is being calculated. L L + + + + = 2 1 2 2 1 1 W W x W x W x cg
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9.3 Center of Gravity Finding the center of gravity of an irregular shape.
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9.4 Newton’s Second Law for Rotational Motion About a Fixed Axis T T ma F = ! r a T = r F T = ( ) " 2 mr = Moment of Inertia, I Consider a powered model airplane on a massless string. m
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9.4 Newton’s Second Law for Rotational Motion About a Fixed Axis ( ) ( ) ( ) ! " 2 2 2 2 2 2 1 1 1 N N N r m r m r m = = = M ( ) # # = 2 mr Net external torque Moment of inertia
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9.4 Newton’s Second Law for Rotational Motion About a Fixed Axis ROTATIONAL ANALOG OF NEWTON’S SECOND LAW FOR A RIGID BODY ROTATING ABOUT A FIXED AXIS ! ! " # $ $ % ' ! ! " # $ $ % = on
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p111_lecture18 - Chapter 9 Rotational Dynamics 9.3 Center...

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