Angular Momentum
The definition of angular momentum.
What is L= Iw or L=mvr ?
the "real world" unit for angular velocity
rev/min (rpm)
what is Erot=1/2Iw2 ?
definition of torque.
T=rFsintheta or the ability of a force to cause angular acceleration
the two equations one can use to solve any statics problem in general.
what is net force=0 and net torque =0?
How moment of inertia impacts angular momentum.
What is a larger moment of inertia (distribution of mass) increase angular momentum & a smaller one decreases it? (under a constant angular velocity)
the strategies for using NSLfR
what is...
1) drawing a diagram
2) labeling each acting force
3) calculating net force & net torque
...?
the force that supplies the ability to rotate
what is friction?
the direction of torque
what is counterclockwise=positive & clockwise=negative?
the relation of rotational statics to other equilibriums.
what is it is both translational and rotational equilibrium?
The symbols for the directions for in/out of the paper to determine the direction of angular momentum.
what is into the board/paper="x" (feathers of arrow) & out of the board= "dot" (tip of arrow)?
units for variables in UAAM.
w- rad/sec
angular acceleration- rad/s2
the definition of w when there is no slippage
w=v/r
where is theta determined from when calculating torque
the angle between the direction of the lever arm and the direction of the applied force
the formula for parallel axis theorem
what is I2=Icm+MD2?
The object with a higher angular momentum: a hollow or solid sphere with the same mass and angular velocity.
what is the hollow (greater moment of inertia- 2/3>2/5)?
when angular acceleration is constant, this formula can be derived.
change in angle= (wf+wi)/2 (t)
the object with more rotational energy: a hollow or solid sphere
what is a hollow sphere?
the equation for torque that explains why one spins faster with arms retracted.
T=I(angular acceleration)
the stable equilibrium vs unstable equilibrium
what is stable=concavity up, unstable=concavity down or stable will return to original position but unstable will not?
The object with more angular momentum: a hollow sphere of mass 3M, w of 4 rad/s, a radius of 1/2 or a solid sphere of mass 5M, w of 9 rad/s, and a radius of 1/3?
the equation to calculate the rotational inertia of a system using an intergral
I=integral of r2dm
the object with a greater translational speed (starting from the same height and initial push): hollow sphere with mass 10M or solid sphere with mass 1M?
what is the solid sphere (less energy needed to rotate)?
the placement of the force when no torque will be created
what is when the force is parallel or 180 degrees?
the type of equilibrium for an object's center of gravity below the pivot point
what is stable?
(unstable is if center of gravity is above the pivot point)