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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


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

