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Chapter 9
Rotational Dynamics
22
Physics
Undergraduate 2
02/21/2015

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Term
line of action
Definition
an extended line drawn collinear with the force
Term
lever arm
Definition
the distance "l" between the line of action & the axis of rotation, measured on a line that is perpendicular to both
Term
What is the direction of torque?
Definition
the torque "tau" is positive when the force tends to produce a counterclockwise rotation about the axis, & negative when the force tends to produce a clockwise rotation
Term
SI unit of torque
Definition
newton x meter (N x m)
Term
Can the same magnitude produce different torques?
Definition
yes!
Term
external forces
Definition
forces from external agents; the only forces used when calculating the net force
Term
When is a rigid body in equilibrium?
Definition
if it has zero translational acceleration & zero angular acceleration; the sum of the externally applied forces is zero & the sum of the externally applied torques is zero
Term
Why is the choice of axis arbitrary in equilibrium?
Definition
if an object is in equilibrium, it is in equilibrium with respect to any axis whatsoever
Term
center of gravity ("cg")
Definition
a definite point chosen at which the weight acts on an object for the purpose of calculating the torque
Term
Where does the center of gravity lie for any symmetrically shaped & uniform object?
Definition
at its geometrical center
Term
SI unit of moment of inertia
Definition
kg(m^2)
Term
What requirement must be met in order to use the rotational analog of Newton's second law for a rigid body rotating about a fixed axis (sum of the torques = moment of inertia x angular acceleration)
Definition
alpha must be expressed in rad/s^2
Term
rigid
Definition
the distances that locate each particle do not change during the rotational motion
Term
When calculating the sum of the torques, it is necessary to include only the _____, those applied by agents outside the body
Definition
external torques
Term
What requirement must be met to determine rotational work (rotational work = constant torque x angle)
Definition
theta must be expressed in radians
Term
SI unit of rotational work
Definition
joule (J)
Term
What requirement must be met to determine to rotational kinetic energy (rotational kinetic energy = 1/2(moment of inertia x angular speed^2))
Definition
omega must be expressed in rad/s
Term
SI unit of rotational kinetic energy
Definition
joule (J)
Term
What is the analogous concept to linear momentum in terms of rotational motion?
Definition
angular momentum (L)
Term
What requirement must be met to determine the angular momentum (angular momentum = moment of inertia x angular velocity)
Definition
omega must be expressed in rad/s
Term
SI unit of angular momentum
Definition
kg(m^2)/s
Term
principle of conservation of angular momentum
Definition
the total angular momentum of a system remains constant if the net average external torque acting on the system is zero; total angular momentum of a system is conserved
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