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Rotational Equilibrium & Dynamics
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torque
a quantity that measures the ability of a force to rotate an object around some axis
greater torque means greater ability to rotate an object
lever arm
the perpendicular distance from the axis of rotation to the line drawn along the direction of the force
center of mass
the point at which all the mass of the body can be considered to be concentrated when analyzing translational motion
moment of inertia
the tendency of a body rotating about a fixed axis to resist a change in rotational motion
angular momentum
the product of a rotating object's moment of inertia and angular speed about the same axis
rotational kinetic energy
the energy of an object due to its rotational motion
t=flθ
torque=magnitude of the force x l the distance from the axis of rotation to the force (aka lever arm) x angle btwn force and distance from axis
torque SI units
Nm
positive/negative rotation
positive
: counter clockwise
negative
: clockwise
what produces torque
only the tangential component of force produces torque; not the radial force
equilibrium with rotational motion
neither linear nor rotational motion will change
all external forces and torques must be zero
translational equilibrium
sum of net forces is zero; force condition
rotational equilibrium
sum of net torques must be zero; torque condition
extended object
object that has a definite, finite size and shape
axis of rotation
like a line that passes through a hinge that allows things to rotate
relationship btwn lever arm and torque
farther the force is from the axis of rotation, the easier it is to rotate an object and the more torque is produced
smaller torque=shorter lever arm
center of gravity
position at which Fg acts on extended object as if it were point mass
moment of inertia
tendency of a body rotating with a fixed axis to resist a change in rotational motion
difference btwn mass and moment of inertia
mass is intrinsic, moment of inertia is not
relationship between mass distance from axis and moment of inertia
farther mass is from axis, greater moment of inertia, greater difficulty to rotate
relationship btwn mass and moment of inertia
moment of inertia is greater for more massive things
second condition for equilibrium
complete equilibrium depends on both no net force and no net torque
Author
Gymnastxoxo17
ID
275452
Card Set
Rotational Equilibrium & Dynamics
Description
d
Updated
2014-05-27T10:21:54Z
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